data/attention-index.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "# Exploring data for the attention index\n",
    "\n",
    "The idea of the attention index is to provide a score that indicates the impact of an article, and can easily be aggregated by subject, publisher or other axis.\n",
    "\n",
    "The index comprises of two parts:\n",
    "\n",
    "- **promotion** how important the article was to the publisher, based on the extent to which they chose to editorially promote it\n",
    "- **response** how readers reacted to the article, based on social engagements\n",
    "\n",
    "The index will be a number between 0 and 100. 50% is driven by the promotion, and 50% by response:\n",
    "\n",
    "![Attention Index](../images/kaleida-attention-index-data-factors-chart.png)\n",
    "\n",
    "### Promotion Score\n",
    "\n",
    "The promotion score should take into account:\n",
    "\n",
    "- whether the publisher chose make the article a lead article on their primary front (30%)\n",
    "- how long the publisher chose to retain the article on their front (40%)\n",
    "- whether they chose to push the article on their facebook brand page (30%)\n",
    "\n",
    "It should be scaled based on the value of that promotion, so a popular, well-visited site should score higher than one on the fringes. And similarly a powerful, well-followed brand page should score higher than one less followed.\n",
    "\n",
    "### Response Score\n",
    "\n",
    "The response score takes into account the number of engagements on Facebook. \n",
    "\n",
    "\n",
    "\n",
    "The rest of this notebook explores how those numbers could work, starting with the response score because that is easier, I think."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "      <td>http://www.dailymail.co.uk/tvshowbiz/article-4...</td>\n",
       "      <td>Holly Hagan slams 'jealous' trolls in angry Tw...</td>\n",
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      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8  https://www.nytimes.com/2017/04/30/nyregion/me...   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d  http://www.dailymail.co.uk/news/article-446135...   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b  http://www.dailymail.co.uk/tvshowbiz/article-4...   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9  http://www.dailymail.co.uk/news/article-446135...   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9  http://www.dailymail.co.uk/news/article-446138...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8              April Fools’ With the Epitome of Cool   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d  Young mother loses three teeth and is left nee...   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b  Holly Hagan slams 'jealous' trolls in angry Tw...   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9  Primary school headteachers could strike over ...   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9  Man films student driver who 'fled from hit an...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8 2017-05-01 00:05:00.022   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d 2017-05-01 00:05:23.416   \n",
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       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9 2017-05-01 00:05:19.083   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9 2017-05-01 00:05:22.695   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8 2017-05-01 00:00:00               5   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d 2017-05-01 00:00:21               8   \n",
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       "a8e2c63260f908b2f091862fff1b884da0eb5fe9 2017-05-01 00:00:48              12   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8                    0.083449   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d                    0.083449   \n",
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       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9                    0.083449   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9                    0.083449   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8          NaN           NaN   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d          NaN           NaN   \n",
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       "\n",
       "                                          fb_shares  publisher_name  \\\n",
       "id                                                                    \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8        NaN  New York Times   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d        NaN      Daily Mail   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b        NaN      Daily Mail   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9        NaN      Daily Mail   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9        NaN      Daily Mail   \n",
       "\n",
       "                                             publisher_id  mins_as_lead  \\\n",
       "id                                                                        \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8      nytimes_com             0   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d  dailymail_co_uk             0   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b  dailymail_co_uk             0   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9  dailymail_co_uk             0   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9  dailymail_co_uk             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8              0   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d            584   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b           2352   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9           1012   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9              0   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8                    NaN   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d                  603.0   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b                  603.0   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9                  603.0   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9                    NaN   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8          False                  NaN   \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d          False                  NaN   \n",
       "20a659b9ee677b718b5834566795b6e231541a9b          False                  NaN   \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9          False                  NaN   \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9          False                  NaN   \n",
       "\n",
       "                                          alexa_rank  \n",
       "id                                                    \n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8         120  \n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d         158  \n",
       "20a659b9ee677b718b5834566795b6e231541a9b         158  \n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9         158  \n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9         158  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(\"articles_2017-05-01_2017-05-31.csv\", index_col=\"id\", \\\n",
    "                   parse_dates=[\"published\", \"discovered\"])\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Response Score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The response score is a number between 0 and 50 that indicates the level of response to an article.\n",
    "\n",
    "\n",
    "\n",
    "Perhaps in the future we may choose to include other factors, but for now we just include engagements on Facebook. The maximum score of 50 should be achieved by an article that does really well compared with others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    128531.00\n",
       "mean       1219.29\n",
       "std        6211.63\n",
       "min           0.00\n",
       "50%          36.00\n",
       "75%         362.00\n",
       "90%        2256.00\n",
       "95%        5690.00\n",
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       "max     1114468.00\n",
       "Name: fb_engagements, dtype: float64"
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   "source": [
    "pd.options.display.float_format = '{:.2f}'.format\n",
    "data.fb_engagements.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's one article there with 1 million plus engagements, let's just double check that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
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       "      <td>5014</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  https://www.indy100.com/article/divorced-fathe...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  This dad's brilliant post about his ex-wife is...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267 2017-05-15 11:09:18.339   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267 2017-05-14 08:36:41         1114468   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267                        8.34   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267     58501.00     914126.00   \n",
       "\n",
       "                                          fb_shares publisher_name  \\\n",
       "id                                                                   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  141841.00        indy100   \n",
       "\n",
       "                                         publisher_id  mins_as_lead  \\\n",
       "id                                                                    \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  indy100_com             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267           9937   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267                 100.00   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267          False                  nan   \n",
       "\n",
       "                                          alexa_rank  \n",
       "id                                                    \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267        5014  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.fb_engagements > 1000000]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yup. Facebook open graph debugger agrees with that, although it looks to me like facebook has got confused. But Kaleida is reflecting correctly what facebook is saying."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_engagements.mode()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Going back to the enagement counts, we see the mean is 1,129, mode is zero, median is 36, 90th percentile is 2,256, 99th percentile is 22,447, 99.5th percentile is 33,332. The standard deviation is 6,211, significantly higher than the mean, so this is not a normal distribution. \n",
    "\n",
    "We want to provide a sensible way of allocating this to the 50 buckets we have available. Let's just bucket geometrically first:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zNXRodpePmznzodOQ5licoXbIkkcpwT6mYwAAAMAwCrVDCXaaclpmm44BAAAAwyjUAAAA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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1087bb7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(data.fb_engagements, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Well that's not very useful. Almost everything will score less than 0 if we just do that, which isn't a useful metric.\n",
    "\n",
    "Let's start by excluding zeros."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0+ZRwuwwAAAB4AIHagWhHVKbR5XYZAAAA8AACtQNtZlyW+FAiAAAAmKF2JDOYJb8y3C4D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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8409b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "non_zero_fb_enagagements = data.fb_engagements[data.fb_engagements > 0]\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(non_zero_fb_enagagements, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's still a big number at the bottom, and so not a useful score.\n",
    "\n",
    "Next, we exclude the outliers: cap at the 99.9th percentile (i.e. 65,258.53), so that 0.1% of articles should receive the maximum score.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0tFRer1cej6dZa690Pc4nK71/lt0xAAAAYIEmrzj/5je/UVpamkaMGKGamhpNnTpVPXv2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106a25978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "non_zero_fb_enagagements_without_outliers = non_zero_fb_enagagements.clip_upper(65258.53)\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(non_zero_fb_enagagements_without_outliers, bins=50)\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='red')\n",
    "leg = plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a bit better, but still way too clustered at the low end. Let's look at a log normal distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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r14HMzEw+/fQTevfuw5Yt/6Jx4ya8/fabLF++7Kb7Dw5uSVLSYrp27UZy8p/Z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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x103a026d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "ninety = data.fb_engagements.quantile(.90)\n",
    "ninetyfive = data.fb_engagements.quantile(.95)\n",
    "ninetynine = data.fb_engagements.quantile(.99)\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(np.log(non_zero_fb_enagagements + median), bins=50)\n",
    "plt.axvline(np.log(mean), linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(np.log(median), label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axvline(np.log(ninety), linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetyfive), linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetynine), linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's looking a bit more interesting."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After some exploration, to avoid too much emphasis on the lower end of the scale, we move the numbers to the right a bit by adding on the median."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   109192.00\n",
       "mean         5.29\n",
       "std          1.73\n",
       "min          3.61\n",
       "25%          3.83\n",
       "50%          4.66\n",
       "75%          6.35\n",
       "max         11.09\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_engagements = (non_zero_fb_enagagements\n",
    "                   .clip_upper(data.fb_engagements.quantile(.999))\n",
    "                   .apply(lambda x: np.log(x + median))\n",
    "                  )\n",
    "log_engagements.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use standard feature scaling to bring that to a 1 to 50 range\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   109192.00\n",
       "mean        11.71\n",
       "std         11.56\n",
       "min          0.00\n",
       "25%          2.00\n",
       "50%          8.00\n",
       "75%         19.00\n",
       "max         50.00\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def scale_log_engagements(engagements_logged):\n",
    "    return np.ceil(\n",
    "        50 * (engagements_logged - log_engagements.min()) / (log_engagements.max() - log_engagements.min())\n",
    "    )\n",
    "\n",
    "def scale_engagements(engagements):\n",
    "    return scale_log_engagements(np.log(engagements + median))\n",
    "\n",
    "scaled_non_zero_engagements = scale_log_engagements(log_engagements)\n",
    "scaled_non_zero_engagements.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# add in the zeros, as zero\n",
    "scaled_engagements = pd.concat([scaled_non_zero_engagements, data.fb_engagements[data.fb_engagements == 0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10d1cd3c8>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Vs2dP/fznP1dhYaHbtQEAAAfZCv2LFy8qIyNDkuTxePTkk0+qoaHB1cIAAICzbIV+TEyM\nvv766+AGPX//+9/VpUsXVwsDAADOsnUjX3FxsZ555hmdPHlS48aN0zfffKNXXnnF7doAAICDbIX+\nhQsXtHnzZn311VdqaWlRamoqM30AACKMreX9ZcuWKTo6WgMGDNDAgQMJfAAAIpCtmX6fPn1UXFys\nhx56SDExMcHHx48f71phAADAWa2G/tmzZ/W9731PCQkJkqRDhw7d8jyhDwBA5Gg19J999llt27ZN\nlZWVWrt2rfLy8sJVFwAAcFir7+lblhX8+b333nO9GAAA4J5WQ//m5/KlWy8AAABA5LH91br/ewEA\nAAAiT6vv6X/55ZcaNWqUpP/c1HfzZ8uy5PF4VFVV5X6FAADAEa2G/ocffhiuOgAAgMtaDf1evXqF\nqw4AAOAy2+/pAwCAyEboAwBgCEIfAABDEPoAABiC0AcAwBCEPgAAhiD0AQAwBKEPAIAhCH0AAAzh\naugfOnRIU6ZMkSSdOHFCkyZN0uTJk1VWVqZAICBJWrlypbKzs5Wbm6vDhw+3eywAALDHtdBfs2aN\n5s2bp+vXr0uSKisrVVBQoA0bNsiyLFVVVammpkb79u3Tpk2btHz5ci1cuLDdYwEAgD2uhX7fvn21\nYsWK4O81NTUaNmyYJCkzM1N79uzRgQMHlJGRIY/Ho+TkZLW0tKiurq5dYwEAgD2uhX5WVpZ8vv9+\nn8/Nr+OVpNjYWNXX16uhoUF+vz845ubj7RkLAADsafVb9pwUFfXf64vGxkbFx8fL7/ersbHxlsfj\n4uLaNbYtCQnd5fN5HTqL0CUltV2zCehD6OihM+hj6Ohh6MLVw7CFflpamvbu3avhw4erurpaP/nJ\nT9S3b18tW7ZM+fn5+vrrrxUIBJSYmNiusW25ePFKGM7OvnPnWJ1ISoqjDyGih86gj6Gjh6Fzuoet\nXUCELfQLCws1f/58LV++XKmpqcrKypLX61V6erpycnIUCARUWlra7rEAAMAej2VZVkcX4Sanr0Dz\nlnwc0uvXFo10qJLIxcwgdPTQGfQxdPQwdOGc6bM5DwAAhiD0AQAwBKEPAIAhCH0AAAwRtrv38R9t\n3QjIjX4AALcw0wcAwBCEPgAAhiD0AQAwBKEPAIAhCH0AAAxB6AMAYAhCHwAAQxD6AAAYgtAHAMAQ\nhD4AAIYg9AEAMAShDwCAIQh9AAAMQegDAGAIQh8AAEMQ+gAAGILQBwDAEIQ+AACGIPQBADAEoQ8A\ngCEIfQAADEHoAwBgCEIfAABDEPoAABiC0AcAwBCEPgAAhiD0AQAwBKEPAIAhfB1dAG6Vt+TjNses\nLRoZhkoAAPcaZvoAABiC0AcAwBCEPgAAhiD0AQAwBKEPAIAhCH0AAAxB6AMAYAhCHwAAQxD6AAAY\ngtAHAMAQbMMbgdraqpdtegEAt8NMHwAAQxD6AAAYIuzL+xMmTJDf75ck9e7dWzk5OVq0aJG8Xq8y\nMjL03HPPKRAIaMGCBfriiy/UpUsXVVRUqF+/fjp48OC3xgIAAHvCGvrXr1+XZVlat25d8LFx48Zp\nxYoV6tOnj55++mkdPXpUp06dUlNTkzZu3KiDBw9qyZIlWr16tcrKyr41Ni0tLZynAABAxApr6B87\ndkxXr15VXl6ebty4oVmzZqmpqUl9+/aVJGVkZGjPnj06d+6cRowYIUl6+OGHdeTIETU0NNx2LKEP\nAIA9YQ39mJgY5efna+LEifrqq680ffp0xcfHB5+PjY3Vv//9bzU0NATfApAkr9f7rcdujm1LQkJ3\n+XxeZ0+kk0tKiuvoEtoUCTV2dvTQGfQxdPQwdOHqYVhDPyUlRf369ZPH41FKSori4uJ06dKl4PON\njY2Kj4/XtWvX1NjYGHw8EAjI7/ff8tjNsW25ePGKsycRAc6dq+/oElqVlBTX6Wvs7OihM+hj6Ohh\n6JzuYWsXEGG9e3/z5s1asmSJJOns2bO6evWqunfvrpMnT8qyLO3atUvp6ekaMmSIqqurJUkHDx7U\nAw88IL/fr+jo6G+NBQAA9oR1pp+dna3i4mJNmjRJHo9HixcvVlRUlF544QW1tLQoIyNDDz30kH70\nox9p9+7dys3NlWVZWrx4sSRp4cKF3xoLAADs8ViWZXV0EW5yetmprd3wOoPOviMfy4Gho4fOoI+h\no4ehu2eX9wEAQMdh7/17EHvzAwBuh5k+AACGIPQBADAEoQ8AgCEIfQAADEHoAwBgCEIfAABDEPoA\nABiC0AcAwBBszmOgULcSZnMfAIhMzPQBADAEoQ8AgCEIfQAADEHoAwBgCG7kQ7vxLX4AEJmY6QMA\nYAhm+nBcWysB7700LkyVAAD+FzN9AAAMwUwfYTd2zrutPs89AQDgDmb6AAAYgpk+Oh072wSzGgAA\n7cdMHwAAQzDTR0TiS4MAoP0IfRiJDYYAmIjlfQAADMFMH7gN3j4AcC8i9AEX8PYBgM6I0Ac6QKgr\nCWxlDOBuEPpABGprV0OJ1QQA30boA/co3mIA8P8R+oChuCgAzEPoA7itUO87aAsXFUD48Tl9AAAM\nwUwfQIfg7QUg/Ah9AJ0SGyQBziP0AdyTnLgngQsH3GsIfQC4A96CwL2G0AeAu8RFASINoQ8ALuG+\nBHQ2hD4AdFKsJMBphD4ARCguCtBehD4A3KP4BAP+P0IfAHBH3JdwbyH0AQCu4S2IzoXQBwB0GFYS\nwiviQj8QCGjBggX64osv1KVLF1VUVKhfv34dXRYAoANEwkVDWzW+99I412u4KeJC/6OPPlJTU5M2\nbtyogwcPasmSJVq9enVHlwUAiECm3ewYcaF/4MABjRgxQpL08MMP68iRIx1cEQDAZE5cOIRLxIV+\nQ0OD/H5/8Hev16sbN27I57v9qSQlxTl6/HAuwwAAzOB0Vt1JVFiO4iC/36/Gxsbg74FA4I6BDwAA\n/iviQn/IkCGqrq6WJB08eFAPPPBAB1cEAEBk8FiWZXV0Ee1x8+79f/7zn7IsS4sXL1b//v07uiwA\nADq9iAt9AABwdyJueR8AANwdQh8AAENw27tN7AQYmkOHDul3v/ud1q1bpxMnTqioqEgej0cDBgxQ\nWVmZoqK4/ryT5uZmlZSU6PTp02pqatKMGTN0//3308N2aGlp0bx583T8+HF5PB4tXLhQXbt2pYd3\n4cKFC3r88ce1du1a+Xw+engXJkyYEPzoee/evZWTk6NFixbJ6/UqIyNDzz33nGvH5r+OTf+7E+Cc\nOXO0ZMmSji4pYqxZs0bz5s3T9evXJUmVlZUqKCjQhg0bZFmWqqqqOrjCzm379u3q0aOHNmzYoD/+\n8Y8qLy+nh+30ySefSJL+/Oc/q6CgQC+//DI9vAvNzc0qLS1VTEyMJP4t343r16/LsiytW7dO69at\nU2VlpcrKyvTSSy/prbfe0qFDh3T06FHXjk/o28ROgHevb9++WrFiRfD3mpoaDRs2TJKUmZmpPXv2\ndFRpEWHMmDH61a9+JUmyLEter5cettPo0aNVXl4uSTpz5ozi4+Pp4V1YunSpcnNzdd9990ni3/Ld\nOHbsmK5evaq8vDxNnTpV+/fvV1NTk/r27SuPx6OMjAxX+0jo23SnnQDRtqysrFs2ULIsSx6PR5IU\nGxur+vr6jiotIsTGxsrv96uhoUGzZ89WQUEBPbwLPp9PhYWFKi8v19ixY+lhO23dulWJiYnByY/E\nv+W7ERMTo/z8fL3xxhtauHChiouL1a1bt+DzbveR0LeJnQCd87/v+TU2Nio+Pr4Dq4kMtbW1mjp1\nqsaNG6exY8fSw7u0dOlSffjhh5o/f37w7SaJHtqxZcsW7dmzR1OmTNHnn3+uwsJC1dXVBZ+nh/ak\npKToF7/4hTwej1JSUhQXF6dLly4Fn3e7j4S+TewE6Jy0tDTt3btXklRdXa309PQOrqhzO3/+vPLy\n8jR37lxlZ2dLooft9c477+j3v/+9JKlbt27yeDwaNGgQPWyHN998U+vXr9e6dev0wx/+UEuXLlVm\nZiY9bKfNmzcH7wk7e/asrl69qu7du+vkyZOyLEu7du1ytY9szmMTOwGG5tSpU/r1r3+tt99+W8eP\nH9f8+fPV3Nys1NRUVVRUyOv1dnSJnVZFRYU++OADpaamBh978cUXVVFRQQ9tunLlioqLi3X+/Hnd\nuHFD06dPV//+/fn/8C5NmTJFCxYsUFRUFD1sp6amJhUXF+vMmTPyeDx64YUXFBUVpcWLF6ulpUUZ\nGRl6/vnnXTs+oQ8AgCFY3gcAwBCEPgAAhiD0AQAwBKEPAIAhCH0AAAxB6AMAYAhCHwAAQxD6AAAY\n4v8A6IodjUdEgPYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a666ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "proposed = pd.DataFrame({\"fb_engagements\": data.fb_engagements, \"response_score\": scaled_engagements})\n",
    "proposed.response_score.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now look at how the shares distribute to score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10a648160>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gIqImN954EzabjRo1IoiNbcrhw8nUqFFyaHhoaCh169YjJqYBUDLbtm/fXm69\n9XaSkg6V+VxDQkLIy8tzPCcvL4/g4JLP2GazYbP5YBgGVqv+TUJEXM9umioAIiIiVcrjk7mqtnfv\nbtq3v4K///1h9u7dQ0rKcUzTZMSIh5gz53kiI6PYunULTZpc7miTnp5GcnIyd9wxhA8+eA+bzYrF\nYiE/P/+M/vft20tkZBQ7dybSoEFDoqNjaNu2HcOHj8IwDJYvf4s6deoCOPakxcQ0YO/e3XTpcg3H\njh1l6dJ/0bx5CyIjo7jzziEUFBSwYsUyQkNDy7QryzzrzxsWFk6tWpFMmjSV4OBgNm3aSEBAQJl7\nwsNrkJNTMlv4888/sWbNaqZMeZq8vDwOHfqV6OgGjnvr1KlLXl4eR44cpl69+uzYsZ0+fW5g797d\ntGvXgaFDH3F8rkFBwfj4+HD06BHq1KnLTz/9yJAh95REa5rYbDYlciLiNgzNzImISBVTMldBdevW\nZ86cGbzzzlsEBwczcuQYLBYLI0aMYsaMafj5+dGgQUP69u3naLN8+TIGD74LgH79bmHy5AlERUXR\nuHHsGf2vW7eWVatWEhAQwOjR8YSGhrJt21bi40eTn59Hly5dyyw9BLjhhpuYP38e48ePwTAMhg59\nhEaNGrFw4fOMHz+GvLxc+vW75byJT0xMQ+bNm0W7dmVn3UpnF6dOnYRpmgQFBTFq1BNl7mnTph0b\nN66nV68+XHllJ7Zs2czYsSOxWKzce+9fCQ8P54svSpZm9u59PSNHjmbu3FmYpklcXEuuuqozGRkZ\nvPnm66xY8bbjcwV49NHHmDdvFna7QYcOHR0zgL/+epAWLeIudNhERJzObpg6Z01ERKqUxTTNs0/J\nuIHU1Kwyr4uLS5YE+vj4kpGRjmEYrggLq9XqlGcnJIzl0UdHOpYgegrDMJg4cRzTps3E19f3rPcc\nPHiAffv20KfPDZXyzNdeW0KnTlfTqlXrC4zRzoYN6wkODqFXr94X/dyoqNAzfi/FO2jsK0ex3eDd\nr/aTkVPg6lAuWIC/L/kF51+SDrB13wlCAn2Y82j5hbnEM+jvvXfSuHsvdx37qKhzF9bSzJxcMqvV\nypAh9/Dxxx8xYMBtZ70nNDSU3r37Vsrz0tJOkpube8GJnIi4j6SUbD7/McnVYThN0+hwV4cgIiJe\nRMmcG5k5c66rQ7hobdu2dxRvOZvSw9QrQ0RETYYNe6zS+hORqmO3lywG+VPHaG66uqGLo7kwtWqF\ncOJE9gX5jlimAAAgAElEQVTdGxZ09qNnREREnEHJnIiIVBn7qSXqQf4+1Ajxd3E0F6ZmWAD2C1hm\nKSIiUtVUClBERKqMYZTMzKlQiIiIyKVTMiciIlXmVC6nZE5ERKQSKJkTEZEqYz+Vzek8NhERkUun\nPXMVVFRUyPz58zh27CiBgUE88sgI6tWrz08//cjrr7+Cv38AHTteyeDBd5OXl8f06ZMpKChk2LDH\naNw4lsTE7ezcmcigQYNd/aOUsWbNam6+eQCbN/+X1NQUOnToyJw5M5g7d8EFtU9M3Mb+/fvo338g\nr766mB07ErHb7dxwQz/69u1HSkoKCxbMw263Y5omw4c/TnR0zBn95OfnM27c49x33wN07HiV4/1t\n237h2Wdn8dpry0hLO8kzz8xwXDt4cD/33fcAcXGt2LjxO4YMuffSPxARcQrHMkuLkjkREZFLpWSu\ngj777BMCAgKZO3cByclJvPTSC0yZ8jQLFz7HzJlzqVOnLvPmzSIxcTsZGel06nQ1rVu35fPPP2Xo\n0Ef46KMPGD063tU/xhmWL1/GzTcPcCRQx48fu+C2pmmybNlSpkx5ml9++ZmjR48wd+58iooKGTbs\nQbp27c5bb/2Lm27qz9VXd+Wnn37kjTdeZcKEJ8/o66WXXsDyP1/yUlNTWL16JcXFdqCkmmVp5c9d\nu3awdOlrXH/9jdhsNlauXMHRo0eoW7fexX0QIh7AME3e+HQXKWl5rg6lwrJySwqJaJmliIjIpfP4\nZK5xr5LDWQ+/+AqFzVsQOW82of/+kKyb+vP7mHj8du+i/iMPAHDwy/UA1Hvob/jv3c3vo8aRdcsA\nQj9aTeRzz1BweXOOvPzqeZ936NBvXHllJwCio2NISjpEZmYGISGh1KlTF4C4uFbs2LGdJk2aUlhY\nQGFhAQEBAXzzzZd06dIVP7+zl65OSBhLdHQMyclJmKZJfPxEIiJq8vrrr5CYuB3DMLj11tvp1q0H\nCQljCQ+vQXZ2FpMmTWHBgmdJSUmhuLiIhx8eTtOmzVi0aD5HjhzGMEzuvfd+2rRpx4gRD9G6dVsO\nHjyAxWJh0qSprFmzmuzsLBYtWkCzZi1ITk7ixhtvcsS1bdsvLF36Glarlbp16zFs2GP4+Jz+1dmy\nZTMNGjTE19eXFi1aEhvb5NQVC3a7HZvNh7/97SGCg4MBsNvt+Pqe+Rm8//67xMW15I/n2BcWFrJo\n0QKGD3+cxx8fVuZ+0zR5+eX/Y8yY8dhsNgC6d+/Bv//9IX//+8PnHUcRT5aeVcC3W4+6OoyL5udj\npUHtEFeHISIi4vE8PpmrarGxTfjhh+/p3Plqdu/excmTJwgNDaOgIJ+kpEPUq1efH3/8gdjYJrRv\nfwWbN/+XTz/9N3fd9RdefXUxd931F1544Xnq1q3H7bffeUb/cXEtGTbsMf797w9ZseJtOna8iuPH\nj/HMM89RWFjI2LEjad/+CgB69ryWq6/uxqpVK6lduw7jxk3kyJHD/Pe/mzhwYD9hYeGMHDmGzMxM\nxo8fw6JFS8jNzaVHj2t56KFhzJ07k82bf2Dw4LtYs2Y1jz46ki++WFsmHtM0eeGF55g9+1lq1Ijg\nzTf/xbp1a+nbt5/jnu3bf6FRo8YA+Pn54efnR3FxMc8/P4cbbuhHYGAggYGBACQnJ/Hqq4uZOHFK\nmeds3bqFI0cOM3z44+zYkeh4/6WXXmDgwEHUqhV5xmf1ww/f06BBwzLLNRs1iuWtt5ZWcFRFPEvp\nvrNrWtfhgZviXBzNxfnfGXgRERGpOI9P5kpn20r9Piae38ecXsZY2LzFGff87+xb1i0DyLplwAU9\nr0+fG0hOTiI+fjQtW7aiSZPLsdlsjB4dz4svLsTX15cGDRoRFhaO1Wpl6NBHAHj33bfp338gK1Ys\n48EHh/H220s5fDiZ+vWjy/RfevB2XFwrNm3aSGRkFPv27SUhYSwAxcV2UlKOA1C/fkkSc/hwsmN5\nZL169Rkw4DYWLVrAjh3b2b17FwCGYScjIwOA2NimAERG1qaw8PxnJ2VkpJOWdpLZs58u+TwLCxzJ\nZKnMzAyaNz/9hTI7O4uZM5+iTZu23HHHEMf7v/zyMy++uJDRo+PP2C+3du2npKYeJyFhLMnJSRw4\nsI+goCB27NjO0aNHePvtN8nOzuKZZ55m3LiJAHz11Tr69x9Ypp+IiJpkZWWe92cS8XSGebqIiJIi\nERER7+XxyVxV27t3N+3bX8Hf//4we/fucSRWW7b8yNSpM/Dx8WHGjKn07n29o016ehrJycnccccQ\nPvjgPWw2KxaLhfz8/DP637dvL5GRUezcmeiYdWrbth3Dh4/CMAyWL3/LsZyz9EtcTEwD9u7dTZcu\n13Ds2FGWLv0XzZu3IDIyijvvHEJBQQErViwjNDS0TLuyzLO8B2Fh4dSqFcmkSVMJDg5m06aNBAQE\nlLknPLwGOTnZABQUFDBxYjwDB97Otdf+yXHPL7/8zJIlLzJ16gxq177sjOc88USC48/PPTeHHj2u\nJS6uFS+9dDrxvvfewY5EruSz2kNcXMsy/WRnZxMeXuOsP4tIdWGoIqSIiIigZK7C6tatz5w5M3jn\nnbcIDg5m5MgxANSsWYsxY0bg5+fPtdf2omHDRo42y5cvY/DguwDo1+8WJk+eQFRUFI0bx57R/7p1\na1m1aiUBAQGMHh1PaGgo27ZtJT5+NPn5eXTp0pWgoKAybW644Sbmz5/H+PFjMAyDoUMfoVGjRixc\n+Dzjx48hLy+Xfv1uwWo990kUMTENmTdvFu3alZ11K51dnDp1EqZpEhQUxKhRT5S5p02bdmzcuJ5e\nvfrwySdrOH78KJ999gmfffYJAI89NoYlS16iqKiI556bA0D9+tEMH/44S5a8yJ/+dP0f9tldmIyM\ndIKCgs5ITPfs2UW7dh0q1JeIp7Hr4G0REREBLOYfq024mdTUrDKvi4tLlgT6+PiSkZGOYRiuCAur\n1eqUZyckjOXRR0cSE9Og0vt2JsMwmDhxHNOmzcTX17dCbT/6aBUdO15FvXr1KyWWuXNncs899ztm\nL0/HaGfDhvUEB4fQq1fvi+4/Kir0jN9L8Q7uNPaHjmcx5bX/0vvKaO7q3czV4VR77jT2UrU09t5J\n4+693HXso6JCz3lNh4bLJbNarQwZcg8ff/xRhdt27nxNpSVyBw8eoE6demckciLVTemeOZ3VJiIi\n4t3cOpmr2bE1NTu2xnaqumHQwuew7d2D9ciRkhuKirGmpmJNTXW0saSlYU1NxZJXsh/Nkpdf8jot\nzXGPo01Rcck9WVkl92RlubTfmTPn0iCytsfE+8d+28U0ZMCA2yrcb+3atSst3sbRDfhL335njze/\nAACfn36kZsfWhN19h+Oe//09C54+hZodWxM8fQoAth2JjntKhd19BzU7tsZ/5QoA/FeuUL/VqN+w\ndi15ecY7TFzyPT8OGoql2eV8et0QJi75nkVPvY2l2eVYml3OxCXfM3HJ9xzt3gdLs8tZPXwGE5d8\nz+rhM7A0u5yj3fs47ilts+ipt8v0++OgoRXu1/f2kr9rNqvFIz9fT+uXRo08Kl71W3n90qiRR8Wr\nftWv+q2e/Z6P9syJiPyPwmKDYydyyQgspKjYwDRNiooMcvKKyCsodpyFmJNXsvTbbi+5p6DQTk5e\nEQWFdkzTxG43HPeUtskrKCYnr+h0v8UV79c0TSJC/WneIKKqPxoRERFxIx61Z84w7BQXF+HnF1At\n98yJ8xQU5PP9998TFhamPXNSrve/PcCaDb8y/u4raBZTUh1VY++9NPbeS2PvnTTu3stdx/58e+Y8\nambOarVhGAUUFuZjGHYXJlSmkjkPUlRUxMGDB7Hb7WiLkVyI0tL/2pMmIiIi7syjkjmAgIAgDMPO\n1q1bXXY4dGCgL3l55z9sW9yH3W5gt9uBkkqoIuVxFBhR6X8RERFxYx6XzEHJDF3btu34z3++JT8/\nzwUR+JGbW+iC58rFsxASEkyHDleUf6t4PR3KLSIiIp7AI5M5KDmku3//WykqqvoZssjIEH7/PbvK\nnyuXxtfX94xDxkXOpvRQbv26iIiIiDvz2GQOwGKx4OfnV+XP9ff3x89PM3Mi1ZVm5kRERMQTeHQy\nJyLVR0Z2ATPf+onsXNfvRy0oKtljqT1zIiIi4s6UzImIWzj8ew4paXmEBfsRFlT1M+7/q1aYP1E1\nAl0dhoiIiMg5KZkTEbdQWkGyd8dobr6mkWuDEREREfEAVlcHICIC2qcmIiIiUlFK5kTELZyuIKlk\nTkRERORCKJkTEbegmTkRERGRilEyJyJu4VQupwqSIiIiIhdIBVBE5AyGYTqWPVaVQh0HICIiIlIh\nSuZEpIys3EImLtlEdp5rznvTMksRERGRC6NkTkTK+D0jn+y8ImqFBVCnVlCVPjvA10brxjWr9Jki\nIiIinkrJnIiUUVqIpFNcbe64rqmLoxERERGRc1EBFBEpo/Twbu1dExEREXFvSuZEpAwdESAiIiLi\nGZTMiUgZpVUsrTq8W0RERMStOTWZO3HiBD179mT//v389ttvDBkyhLvuuosnn3wSwzCc+WgRuUil\nM3NaZikiIiLi3pxWAKWoqIjJkycTEBAAwMyZM3n88cfp3LkzkydPZt26dfTp08dZjxeploqK7WTm\nOPfIgIycQkDLLEVERETcndOSudmzZ/PnP/+ZxYsXA5CYmEinTp0A6NGjB+vXr1cyJ1JB/3jlB1LS\n8qrkWTabVmGLiIiIuDOnJHPvv/8+NWvWpHv37o5kzjRNLKf24AQHB5OVlVVuPxERQfj42JwR4iWL\nigp1dQjiIq4ae9M0SUnLo0aIPx2aRzn1WX6+Nvpe05jIGoFOfY6n0d9776Wx914ae++kcfdenjb2\nTknmVq5cicViYePGjezcuZP4+HhOnjzpuJ6Tk0NYWFi5/aSl5TojvEsWFRVKamr5yahUP64ce/up\nfaZ1awVxb59mTn+eWVSs3/M/0N9776Wx914ae++kcfde7jr250swnZLMvfXWW44/33vvvUyZMoU5\nc+awadMmOnfuzLfffkuXLl2c8WiRakuFSURERETkj6psU0x8fDwLFy5k8ODBFBUV0bdv36p6tEi1\nYNf5byIiIiLyB04rgFJq6dKljj+/+eabzn6cSLVVepqHzn8TEREREdCh4SIewzC1zFJERERETnP6\nzJyIN/o9I6/Sz4PLyS/pT8mciIiIiICSOZFKl5ZVQPxLGzk1kVbp/Hw0oS4iIiIiSuZEKl1mTiGm\nCY3qhNKiYUSl9m2xQNfWdSu1TxERERHxTErmRCpZ6d62Fg0juPO6pi6ORkRERESqK63XEqlkOkJA\nRERERKqCkjmRSlZ6uLdFRwiIiIiIiBMpmROpZJqZExEREZGqoGROpJLpPDgRERERqQoqgCICmKbJ\nnqR0cguKz3tf+PFsMjLzznvPb8eyAFAuJyIiIiLOpGROBNiTlM7sZVsqtc8AP/31EhERERHn0bdN\nESA7rwiADpdH0iymxjnvCwnxJzu7oNz+/HysdGlVp9LiExERERH5X0rmRDhdtKRV45r0uiL6nPdF\nRYWSmppVVWGJiIiIiJyTCqCIcPo4ARUtERERERFPoWROhNMVKG06G05EREREPISSORFOL7PUzJyI\niIiIeAolcyJomaWIiIiIeB4VQJFqISU9jx2/nrzo9nuS0gGwKZkTEREREQ+hZE6qhaWf7iLx17RL\n7icoQH8lRERERMQz6JurVAu5BXZsVgsP3BR30X0E+vvQsmHNSoxKRERERMR5lMxJtWCYJj46qFtE\nREREvIgKoEi1YBgmVh0rICIiIiJeRMmcVAuGYap4iYiIiIh4FSVzUi3YDVPHCoiIiIiIV1EyJ9VC\nyTJLV0chIiIiIlJ1VABF3Mr2gyc4cDizwu2y84oI9Lc5ISIREREREfekZE7cyuIPd5CdV3RRbWtH\nBFZyNCIiIiIi7kvJnLiVgiI7dWoGce/1zSrctn7tECdEJCIiIiLinpTMiVsxDJPgQB/iGunwbhER\nERGR81EBFHErhmFi03lxIiIiIiLlUjInbsMwTUzQEQMiIiIiIhdAyZy4DcMwAXT4t4iIiIjIBVAy\nJ26jNJmzWvVrKSIiIiJSHhVAEacxTZOPv/+Nk5kFF3S/3TAAdPi3iIiIiMgFUDInTnM8LY+V3xyo\ncLua4QFOiEZEREREpHpRMidOU1RcMtPWpeVl3HRNowtqYwHq1AxyXlAiIiIiItWEkjlxmtI9cKFB\nftSPDHZxNCIiIiIi1YsqTYjT2FWdUkRERETEaZTMidMYZml1SiVzIiIiIiKVTcmcOM3powZcHIiI\niIiISDWkr9niNKXLLK0WzcyJiIiIiFQ2i2meWgvnhuwNGpZ7T8HAQeRMmgJAzY6tz3jtjPY2q8WR\nqLji+a5uX1RskF9YDCZsu6o36wY+AsDjE24v83pkwm0U2Q2C/H0JCjh7rR1P+/n/OPaeGL/aX3z7\n/x17T4tf7S++/dnG3pPiV/uLb3+usfeU+NX+4tpHXdXmnOPuCfGr/cW3j4oKdcv8w3bot3P2pWqW\nUmH5hcUUFNkBOHYyj817UgEoKLaXeV1kLzmawGbTzJyIiIiISGVz65m51NQsV4dwVlFRoW4bW1VY\n8N4v/Lzvd2Y/fDWB/uf/9wCb1VLuPZ7E28fem2nsvZfG3ntp7L2Txt17uevYR0WFnvNa9fmWLVWm\ntEplWJAf/n42F0cjIiIiIuKdVABFKsxR2ERHDoiIiIiIuIySOakwQ4eBi4iIiIi4nJI5qbDSZE4n\nDoiIiIiIuI6SOakwu2litViwKJsTEREREXEZFUCRMr7fcYwvfzoM56lxmpSarf1yIiIiIiIupmRO\nyvjP1qPsS844NfN27vtaNIyouqBEREREROQMSuakjNL9cEvGXatllCIiIiIibkx75qQM7YcTERER\nEfEMSuakDNMwtR9ORERERMQDKJmTMuyGiVW/FSIiIiIibk9f26UMwzB1GLiIiIiIiAdQMidlGKf2\nzImIiIiIiHtTNUsvs/PXk7z5+R6K7cZZr5/MLCAoQL8WIiIiIiLuTt/avcz2gyc5eiKX0CBffGxn\nTsyGBfvRvmmkCyITEREREZGKUDLnZeynzpEbdWc7GtUJc3E0IiIiIiJysbRnzsuUHgqufXEiIiIi\nIp5NyZyXsZunkjlVrBQRERER8WhK5ryMeWpmTscPiIiIiIh4NiVzXsauZZYiIiIiItWCkjkv49gz\np5k5ERERERGPpmqW1VBGTiHTX/+RrLzCM64VF2tmTkRERESkOlAyVw0d/T2HE5n5hIf4ERHif8b1\n2hGBRISd+b6IiIiIiHgOJXPVUGnFyus61Kd/18YujkZERERERJxBe+aqIVWsFBERERGp/pTMVUOq\nWCkiIiIiUv0pmauGVLFSRERERKT6c9qeObvdzqRJkzh48CAWi4WpU6fi7+/P+PHjsVgsXH755Tz5\n5JNYrconK5thKpkTEREREanunJbMffXVVwC88847bNq0ieeeew7TNHn88cfp3LkzkydPZt26dfTp\n08dZIXgFwzApKLKXeS+/sOS1llmKiIiIiFRfTkvmevfuzbXXXgvAkSNHCAsLY8OGDXTq1AmAHj16\nsH79eiVzl8AwTf7xyiaOnsg963WbTcmciIiIiEh15dSjCXx8fIiPj+fzzz9nwYIFrF+/Hsup2aLg\n4GCysrLO2z4iIggfH5szQ7xoUVGhrg6BwiI7R0/kEhbsR/OGEWWuBfj5cN1VDYmsEeii6Kovdxh7\ncQ2NvffS2Hsvjb130rh7L08be6efMzd79mzGjh3LnXfeSUFBgeP9nJwcwsLCzts2Le3sM06uFhUV\nSmrq+RPRqpBfWAxAozqhPNK/1RnXzaJit4izOnGXsZeqp7H3Xhp776Wx904ad+/lrmN/vgTTadVH\nVq1axcsvvwxAYGAgFouF1q1bs2nTJgC+/fZbrrzySmc93isYOoJARERERMRrOW1m7vrrrychIYG7\n776b4uJiJkyYQJMmTfjHP/7Bs88+S2xsLH379nXW473CqVxOh4OLiIiIiHghpyVzQUFBzJ8//4z3\n33zzTWc90uuUHg5uUTInIiIiIuJ1dMibBytdZqmZORERERER7+P0AihSeQoK7aRnny4iU/pn7ZkT\nEREREfE+SuY8yD9e2cTvGflnvO+j8+RERERERLyOkjkPYZgmv2fkEx7iR7smtRzvWy0Wrrsi2oWR\niYiIiIiIKyiZ8xCl++PqRwZz/41xLo5GRERERERcTQVQPITOlBMRERERkT9SMuchSo8hsKpypYiI\niIiIoGTOY5imjiEQEREREZHTlMx5CLuWWYqIiIiIyB+oAIobO/x7Djl5RQDk5Jf8V8ssRUREREQE\n3DyZq9mx9RnvFQwcRM6kKS69zvx5Tn/+b8eyiOnWvsy1fwIHut0It77g9Ofr+tmvc/ddMHqC28an\n6068brUQPOB2941P15133WqhpmG6b3y67rzrp8bebePTdadcp1Ejx7i7Y3y67n3XOfTbme+d4tbJ\nnDdLzy4gBvD1seH7h0PBm9YPd11QIiIiIiLiNixmaWUNN5SamuXqEM4qKirU6bFt2ZPKwve3MbhX\nU/p2auDUZ8mFq4qxF/eksfdeGnvvpbH3Thp37+WuYx8VFXrOayqA4qYMU0cRiIiIiIjIuSmZc1Oq\nXikiIiIiIuejZM5NGYbOlRMRERERkXNTMuemtMxSRERERETOR9Us3cjh33M4+nsOAPuPZAJaZiki\nIiIiImenZM6NzH7rJ7JPHRJeKtDf5qJoRERERETEnSmZcxOmaZKdV0TtGoH0uSoGgAA/G22bRLo4\nMhERERERcUdK5txE6Wl/NcP8+VPHaNcGIyIiIiIibk8FUNyEXdUrRURERESkApTMuYnT1Ss1JCIi\nIiIiUr4LyhySk5P5+uuvsdvtJCUlOTsmr2Q4Dgl3cSAiIiIiIuIRyk3mPv74Yx555BGmT59Oeno6\nf/7zn1m9enVVxOZVSpdZ6lw5ERERERG5EOUmc0uWLOHtt98mJCSEWrVq8cEHH7B48eKqiM0rbNmT\nyrrNyXzz82FAe+ZEREREROTClFvN0mq1EhIS4nhdu3Zt7euqJCcy8ln4/rYy7wUH+rooGhERERER\n8STlJnOXX345b775JsXFxezcuZNly5bRokWLqoit2ssrLAagdeOa9GhXD4sFWjSMcHFUIiIiIiLi\nCcqdYps8eTLHjx/H39+fCRMmEBISwpNPPlkVsVV7pUVP6tQM4soWtenYvDbBAZqZExERERGR8pU7\nM/fUU08xc+ZMxowZUxXxeJXTxxFon5yIiIiIiFRMuTNze/bsIScnpypi8TqqYCkiIiIiIhfrggqg\nXHfddTRu3Bh/f3/H+2+88YZTA/MGplHyX1WwFBERERGRiio3mXviiSeqIg6vZDdKsjmLRcmciIiI\niIhUTLnJXKdOnfjmm2/4/vvvKS4upnPnzvTu3bsqYqu2dvx6kl2H0vg9Ix/QzJyIiIiIiFRcucnc\nkiVLWLt2LbfccgumafLSSy+xb98+Hn744aqIr1r61ye7HIkcQHiwnwujERERERERT1RuMvfhhx/y\n7rvvEhAQAMCdd97JbbfdpmTuEhQW2akV5s/QW1rh62OlYZ1QV4ckIiIiIiIeptxkzjRNRyIH4O/v\nj49Puc3kPOyGSaifD81iarg6FBERERER8VDlZmVdunRhxIgRDBw4EIAPPviAzp07Oz2w6swwdRyB\niIiIiIhcmnKTuYkTJ/L222+zatUqTNOkS5cuDB48uCpiq7YMw8SqCpYiIiIiInIJyk3mcnNzMU2T\nBQsWcPz4cd555x2Kioq01PIS2A1TM3MiIiIiInJJrOXdMGbMGFJSUgAIDg7GMAzGjRvn9MCqM9M0\ndRyBiIiIiIhcknKTuSNHjjBq1CgAQkJCGDVqFIcOHXJ6YAAdl7am49LW7DiRCMD0jVPouLQ10zdO\nAWDHiUTHPaXu/vcddFzampV7VgCwcs8KOi5tzd3/vsOl/RYVGzz/6Sc0f7k5a4P+Tmku567xql/1\nq37L9pvwRYJHxat+K6/fRs838qh41W/l9dvo+UYeFa/6Vb/qt3r2ez7lJnMWi4Xdu3c7Xu/fv19L\nLC/CgSMZfPfLUfKLigGIqhHo4ohERERERMSTWUzTNM93w4YNG3jiiSe47LLLAEhLS2POnDlceeWV\nTg8uNTXL6c+4GFFRoRWOLfHgSeYt/5nrr4rhuivqExUeqH1zHuhixl6qB42999LYey+NvXfSuHsv\ndx37qKhzn0ld7sxcSEgI999/PxMnTiQkJITc3FxOnDhRqQF6A7tRkjOHBvlyWUSQEjkREREREbkk\n5SZz06dPp3379hw5coSQkBBWrVrF4sWLqyK2asU4lczZrOV+5CIiIiIiIuUqN7MwDIOrrrqKr7/+\nmuuvv566detit9urIrZqxTi1mlUzciIiIiIiUhnKTeYCAwN59dVX2bRpE9dddx2vv/46wcHBVRFb\ntVI6M6dcTkREREREKkO5ydzcuXPJzc1lwYIFhIeHk5KSwrx586oitmrF7lhmqWxOREREREQuXbln\nDFx22WUMHz7c8fqJJ55wakDVTV5BMW+u3cPh1GxAyyxFRERERKRy6MA4J9t3OIONiccA8LFZqFtL\nS1RFREREROTSKZlzMru9ZHnlbT1i6dupAb4+qmYpIiIiIiKXTpmFk5VWsfT3tSmRExERERGRSqPs\nwskcVSy1V05ERERERCqRkjknsyuZExERERERJ1Ay52Slyyx1JIGIiIiIiFQmJXNOVrrM0qJcTkRE\nREREKpGqWTrR65/uYvuBk4Bm5kREREREpHIpmXOSwiI73/x8BIsFwoP9aFA71NUhiYiIiIhINaJk\nzklKC5+0ja3FY3e0c3E0IiIiIiJS3WjPnJOUFj5RFUsREREREXEGJXNOUlr4RHvlRERERETEGZTM\nOdkUPZMAABeISURBVIkOCxcREREREWdSMuckOixcREREREScScmckzgOC9cBc//f3r0GyVnXewL/\n9swQEjKJCRpZNZJNgJSyLiJwQlFGoBSNrqLigiCaF6IWIgJBErkYhGgAA3gsjVKipdYuYJUUELXK\n+42KEMGSYzibiLjuwSjXSkgCmcllJv08+4LMUB5E7Z7pfmamP59XmemHfn7dPzrV3/xvAABAC9jN\nsgX+z388mf/9w98nSWpG5gAAgBYwMtcCGx/amief3pMXTp+cVx/yoqrLAQAAJiAjcy0wNMXyvP/5\n33PwQQ4LBwAARp+RuRYY3snSejkAAKBFhLkWcCwBAADQasJcCwzvZCnMAQAALdKSNXODg4O57LLL\n8sgjj2RgYCDnnHNODj300FxyySWp1Wo57LDDcsUVV6Sra2JmyaEz5uxkCQAAtEpLwtx3v/vdzJgx\nI9ddd122b9+ed77znXnFK16RJUuW5Nhjj80nP/nJ/OxnP8sb3/jGVty+ckPTLJ0xBwAAtEpLhsbe\n/OY354ILLkiSlGWZ7u7ubNy4MQsWLEiSHH/88Vm3bl0rbl25//XD3+dXG59IYs0cAADQOi0ZmZs6\ndWqSpK+vL+eff36WLFmSVatWpbZvpGrq1KnZsWPHP3yemTMPSE9PdytKHLFZs/72kQN/fOTpJMkb\n/uXlOWzuC4dfMxPH8/WeiU/vO5fedy6970z63rnGW+9bds7cY489lnPPPTdnnnlmTj755Fx33XXD\nj/X392f69On/8Dm2bdvZqvJGZNasadm8+W+H0cHBemb0Tsp733BYtmzpa3NltNrf6z0Tm953Lr3v\nXHrfmfS9c43V3v+9gNmSaZZbtmzJWWedlWXLluXUU09Nkhx++OG59957kyRr167NMccc04pbV64o\nS7tYAgAALdeSMPflL385Tz/9dG644YYsXrw4ixcvzpIlS7J69eqcfvrpGRwczKJFi1px68rVi9Ja\nOQAAoOVaMs1y+fLlWb58+XN+f/PNN7fidmNKUZTp6pmYRy4AAABjh9QxyorSyBwAANB6wtwoqhdF\nduwctGYOAABoOWFuFF19078lSbq7vK0AAEBrSR2j6OHNzxxF8D+Om1NxJQAAwEQnzI2ioihzyMum\n519e8eKqSwEAACY4YW4UFUWZrpr1cgAAQOsJc6OkKMuUic1PAACAthDmRklRlEniWAIAAKAthLlR\nMhzmTLMEAADaQJgbJbsG6kmMzAEAAO0hzI2SVbc8c8bcft3eUgAAoPUkj1GyY+dAEmfMAQAA7SHM\njZKiTF7+4t7Mfcn0qksBAAA6gDA3SoqitF4OAABoG2FulNSL0hlzAABA2whzo8TIHAAA0E7C3Cgo\nyzJFWTpjDgAAaBthbhTs2rM3SUyzBAAA2kaYGwXf+P7vkyT79Xg7AQCA9pA+RkHfrsEkyWknHlJx\nJQAAQKcQ5kZBvSxTqyUvm9VbdSkAAECHEOZGQeFYAgAAoM2EuVHgWAIAAKDdhLlRYGQOAABoN2Fu\nFNSdMQcAALSZMDdCg3vreWRzv2mWAABAWwlzI7Ruw+NJkoG9RcWVAAAAnUSYG6Gdu/cmSd523JyK\nKwEAADqJMDdC9aJMksz5L9MqrgQAAOgkwtwIFfvCnA1QAACAdhLmRqgonwlzjiYAAADaSZgboaFp\nlnazBAAA2kmYGyHTLAEAgCoIcyP07//xZBIjcwAAQHsJcyOwZ/CZA8OTpHfKfhVXAwAAdBJhbgQG\n9x0U/sLp+2fWjCkVVwMAAHQSYW4EhtbLzX3pCyquBAAA6DTC3AgM7WTpWAIAAKDdhLkReHYny4oL\nAQAAOo4wNwJDB4bbyRIAAGg3YW4ECtMsAQCAighzI/DY1p1JHBgOAAC0nzA3Ar/9w+YkSc3IHAAA\n0GbC3AgMDciddPTsagsBAAA6jjA3AkNHE/R0exsBAID2kkJG4NmjCUyzBAAA2kuYG4F9Wc7RBAAA\nQNsJcyNQdzQBAABQEWFuBIanWQpzAABAmwlzI/Bv+44mMDIHAAC0mzDXpD0D9eE/T9rP2wgAALSX\nFNKkelEkSf7bf52Z7i5vIwAA0F5SSJOGNj+ZvH9PxZUAAACdSJhrUmEnSwAAoELCXJPqDgwHAAAq\nJMw1ybEEAABAlYS5JhWlMAcAAFRHmGvSY0/uTGLNHAAAUA1hrklDYW5ouiUAAEA7CXNNKvdNszxq\n/qyKKwEAADqRMNekoTVzplkCAABVEOaaVLebJQAAUCFhrkmFc+YAAIAKCXNNcjQBAABQJWGuSUPT\nLK2ZAwAAqiDMNenf//hkEiNzAABANYS5Jk2e1J0kOWjmlIorAQAAOpEw16SiLDOppysHTN6v6lIA\nAIAOJMw1qV6UplgCAACVEeaaVBSlYwkAAIDKCHNNMjIHAABUqaVh7v7778/ixYuTJJs2bcp73vOe\nnHnmmbniiitSFEUrb91yRelYAgAAoDotC3Nf/epXs3z58uzZsydJcs0112TJkiX55je/mbIs87Of\n/axVt26LoiiMzAEAAJVpWZg7+OCDs3r16uGfN27cmAULFiRJjj/++Kxbt65Vt265oiizeftua+YA\nAIDK9LTqiRctWpSHH354+OeyLFPbF36mTp2aHTt2/MPnmDnzgPT0dLeqxKbt2DmQJHmqfyCzZk2r\nuBraTc87l953Lr3vXHrfmfS9c4233rcszP1nXV3PDgL29/dn+vTp//C/2bZtZytLatqkKZOSJEce\n+sJs3vyPQykTx6xZ0/S8Q+l959L7zqX3nUnfO9dY7f3fC5ht283y8MMPz7333pskWbt2bY455ph2\n3XrU1YsySayZAwAAKtO2MHfxxRdn9erVOf300zM4OJhFixa169ajrl4X5gAAgGq1dJrl7Nmzc+ut\ntyZJ5s6dm5tvvrmVt2ubonwmzHXbAAUAAKiIQ8ObUN93Rp6ROQAAoCrCXBNMswQAAKomzDXhia3P\n7LJZM80SAACoiDDXhD2D9SRJsW+6JQAAQLsJc00o9k2zPPig8XWoIAAAMHEIc02ol9bMAQAA1RLm\nmjA0vdLRBAAAQFWEuSbYzRIAAKiaMNeEwjRLAACgYsJcE+rFM2GuW5gDAAAqIsw14f/+eXvVJQAA\nAB1OmGvC9KmTkiQHTO6puBIAAKBTCXNNGJpmOW3KpIorAQAAOpUw14T6vqMJnEwAAABURZhrQmED\nFAAAoGLCXBOGplk6mgAAAKiKMNeEQpgDAAAqJsw1Yc9gPUnSbdEcAABQEWGuCf/v4aeSJN3d3j4A\nAKAa0kgTXjRjcpJk2gH7VVwJAADQqYS5Juw7mcCaOQAAoDLCXBPqRZFaLemyZg4AAKiIMNeEelEK\ncgAAQKWEuSYURenAcAAAoFLCXBPqRWm9HAAAUClhrglP9+0xzRIAAKhUT9UFjEdP9Q9UXQIAANDh\njMw14QVTJ2Xv3qLqMgAAgA4mzDWhXpR58cwpVZcBAAB0MGGuCUVpAxQAAKBawlwT6nVHEwAAANUS\n5prg0HAAAKBqwlwTTLMEAACqVivLsqy6iOdz8L/OqbqEv2nLU7vS092VGb37V10KbdbVVUtRjNmP\nDC2k951L7zuX3ncmfe9cY7X3f/7Ypud9zMhcg4ai79iNwAAAQCcY0yNzmzfvqLqE5xjcW+Ts6+/M\ny1/cmxVnLai6HNps1qxpY/L/S1pP7zuX3ncuve9M+t65xmrvZ82a9ryPGZlr0NDQ68xpplgCAADV\nEeYaVN8X5uxmCQAAVEmYa1Cxb1aq3SwBAIAqCXMNGppmKcwBAABVEuYa9Ow0y4oLAQAAOpow16B6\nUSRJuqU5AACgQsJcg7Y+vSdJ8nT/QMWVAAAAnUyYa9LLZvVWXQIAANDBhLkGDZ2xPnlSd8WVAAAA\nnUyYa9C+/U9Sc84cAABQIWGuQUMjc7IcAABQJWGuQaWROQAAYAwQ5ho0NDLnZAIAAKBKwlyDrJkD\nAADGAmGuQdbMAQAAY4Ew16DhNXOR5gAAgOoIcw2yZg4AABgLhLkGWTMHAACMBcJcg6yZAwAAxgJh\nrkH7BuaMzAEAAJUS5hpkzRwAADAWCHMNerp/IImROQAAoFrCXIN6ep55y/p2DVZcCQAA0MmEuQZ1\n7RuRe+H0yRVXAgAAdDJhrkGF3SwBAIAxQJhrUOmcOQAAYAwQ5hrknDkAAGAsEOYaNDQy1yXNAQAA\nFRLmGmTNHAAAMBYIcw2yZg4AABgLhLkGWTMHAACMBcJcg4zMAQAAY4Ew16ChkbkuWQ4AAKiQMNeg\nZzdAkeYAAIDqCHMNenaaZbV1AAAAna2nnTcriiJXXnllHnzwwUyaNCkrV67MnDlz2lnCiJVG5gAA\ngDGgrSNzP/3pTzMwMJBvfetbueiii/KZz3ymnbcfFcOHhldbBgAA0OHamknuu+++vO51r0uSHHnk\nkdmwYUM7bz8qrJkDAADGgrZOs+zr60tvb+/wz93d3dm7d296ev52GTNnHpCenu52lfdPWfCql+Z3\nm7bliFcclBf07l91OVRg1qxpVZdARfS+c+l959L7zqTvnWu89b6tYa63tzf9/f3DPxdF8bxBLkm2\nbdvZjrIa8tKZk/O5C0/M5s07snnXQNXl0GazZk3L5s07qi6DCuh959L7zqX3nUnfO9dY7f3fC5ht\nnWZ51FFHZe3atUmS9evXZ/78+e28PQAAwITR1pG5N77xjbn77rtzxhlnpCzLXH311e28PQAAwITR\n1jDX1dWVT33qU+28JQAAwIRkh30AAIBxSJgDAAAYh4Q5AACAcUiYAwAAGIeEOQAAgHFImAMAABiH\nhDkAAIBxSJgDAAAYh4Q5AACAcUiYAwAAGIeEOQAAgHFImAMAABiHhDkAAIBxSJgDAAAYh4Q5AACA\ncahWlmVZdREAAAA0xsgcAADAOCTMAQAAjEPCHAAAwDgkzAEAAIxDwhwAAMA4JMwBAACMQz1VFzCe\nFEWRK6+8Mg8++GAmTZqUlStXZs6cOVWXxQjcf//9uf7663PTTTdl06ZNueSSS1Kr1XLYYYfliiuu\nSFdXV774xS/mzjvvTE9PTy677LIcccQRDV3L2DI4OJjLLrssjzzySAYGBnLOOefk0EMP1fsOUK/X\ns3z58jz00EOp1WpZsWJF9t9/f73vIE8++WTe9a535etf/3p6enr0vkOccsop6e3tTZLMnj07p59+\neq666qp0d3dn4cKF+ehHP/q83/HWr1//T1/L2HPjjTfm5z//eQYHB/Oe97wnCxYsmHif+5J/2o9+\n9KPy4osvLsuyLH/729+WH/7whyuuiJH4yle+Ur7tbW8rTzvttLIsy/Lss88u77nnnrIsy/Lyyy8v\nf/zjH5cbNmwoFy9eXBZFUT7yyCPlu971roavZWy57bbbypUrV5ZlWZbbtm0rTzjhBL3vED/5yU/K\nSy65pCzLsrznnnvKD3/4w3rfQQYGBsqPfOQj5Zve9Kbyj3/8o953iN27d5fveMc7/up3b3/728tN\nmzaVRVGUH/zgB8uNGzc+73e8Rq5lbLnnnnvKs88+u6zX62VfX1/5hS98YUJ+7o3MNeC+++7L6173\nuiTJkUcemQ0bNlRcESNx8MEHZ/Xq1fn4xz+eJNm4cWMWLFiQJDn++ONz9913Z+7cuVm4cGFqtVpe\n+tKXpl6vZ+vWrQ1de+CBB1b2GnmuN7/5zVm0aFGSpCzLdHd3632HOOmkk3LiiScmSR599NFMnz49\n69at0/sOsWrVqpxxxhn5yle+ksTf+Z3i97//fXbt2pWzzjore/fuzXnnnZeBgYEcfPDBSZKFCxdm\n3bp12bx583O+4/X19f3T1zL23HXXXZk/f37OPffc9PX15eMf/3huvfXWCfe5t2auAX19fcPD9EnS\n3d2dvXv3VlgRI7Fo0aL09Dz77xllWaZWqyVJpk6dmh07djyn50O/b+RaxpapU6emt7c3fX19Of/8\n87NkyRK97yA9PT25+OKL8+lPfzonn3yy3neIO+64IwceeODwF/DE3/mdYvLkyfnABz6Qr33ta1mx\nYkUuvfTSTJkyZfjx5+tnd3f38/bY98HxYdu2bdmwYUM+//nPZ8WKFVm6dOmE/NwbmWtAb29v+vv7\nh38uiuKvwgDjW1fXs/+20d/fn+nTpz+n5/39/Zk2bVpD1zL2PPbYYzn33HNz5pln5uSTT8511103\n/JjeT3yrVq3K0qVL8+53vzt79uwZ/r3eT1y33357arVafvWrX+WBBx7IxRdfnK1btw4/rvcT19y5\nczNnzpzUarXMnTs306ZNy/bt24cfH+rn7t27n/Md72/1+Pmu9X1w7JkxY0bmzZuXSZMmZd68edl/\n//3z+OOPDz8+UT73RuYacNRRR2Xt2rVJkvXr12f+/PkVV8RoOvzww3PvvfcmSdauXZtjjjkmRx11\nVO66664URZFHH300RVHkwAMPbOhaxpYtW7bkrLPOyrJly3Lqqacm0ftO8e1vfzs33nhjkmTKlCmp\n1Wp51atepfcd4JZbbsnNN9+cm266Ka985SuzatWqHH/88XrfAW677bZ85jOfSZI88cQT2bVrVw44\n4ID8+c9/TlmWueuuu4b7+Z+/4/X29ma//fb7p65l7Dn66KPzy1/+MmVZDvf+uOOOm3Cf+1pZlmWl\nFYwjQ7sX/eEPf0hZlrn66qtzyCGHVF0WI/Dwww/nYx/7WG699dY89NBDufzyyzM4OJh58+Zl5cqV\n6e7uzurVq7N27doURZFLL700xxxzTEPXMrasXLkyP/jBDzJv3rzh333iE5/IypUr9X6C27lzZy69\n9NJs2bIle/fuzYc+9KEccsghPvcdZvHixbnyyivT1dWl9x1gYGAgl156aR599NHUarUsXbo0XV1d\nufrqq1Ov17Nw4cJceOGFz/sdb/369f/0tYw91157be69996UZZkLL7wws2fPnnCfe2EOAABgHDLN\nEgAAYBwS5gAAAMYhYQ4AAGAcEuYAAADGIWEOAABgHBLmAOg4r3/96/Pwww9XXQYAjIgwBwAAMA71\nVF0AALTS448/nqVLl2bnzp3p6urK8uXLkyRf+tKX8sADD2TXrl259tpr8+pXvzq//vWv87nPfS67\nd+/OU089lWXLluUtb3lLLrnkkmzfvj2bNm3KsmXL8qIXvSjXXHNNdu/enZkzZ2bFihV5+ctfnm98\n4xtZs2ZNurq6csQRR+RTn/pUxa8egInMyBwAE9ptt92WE088MXfccUeWLVuW++67L0ly6KGH5tvf\n/nYWL16cr33ta0mSm2++OStXrsyaNWty1VVX5YYbbhh+nhkzZuQHP/hBFi5cmOXLl+ezn/1s1qxZ\nk/e///25/PLLs3fv3tx44425/fbbc8cdd6RWq+WJJ56o5DUD0BmMzAEwoR133HE577zz8sADD+SE\nE07I+973vtxyyy056aSTkjwT6n70ox8lSa677rr84he/yA9/+MPcf//96e/vH36eI444Iknypz/9\nKX/5y19yzjnnDD/W19eXnp6evOY1r8mpp56aN7zhDXnve9+bgw46qI2vFIBOI8wBMKEdffTR+d73\nvpc777wz3//+97NmzZokSXd3d5KkVqsNX3vmmWfm2GOPzbHHHpvjjjsuS5cuHX5s8uTJSZKiKDJ7\n9ux85zvfSZLU6/Vs2bIlSXLDDTdk/fr1Wbt2bT74wQ/m+uuvz4IFC9ryOgHoPKZZAjChXXvttfnO\nd76TU045JZ/85Cfzu9/97m9et3379vzpT3/KBRdckBNOOCF333136vX6c66bN29ennrqqfzmN79J\nktx+++1ZunRptm7dmre85S2ZP39+Lrjggrz2ta/Ngw8+2NLXBkBnMzIHwIS2ePHiXHTRRVmzZk26\nu7tzxRVX5Prrr3/OdTNmzMhpp52Wt771rent7c2RRx6Z3bt3Z+fOnX913aRJk/L5z38+V111Vfbs\n2ZPe3t6sWrUqBx54YM4444yceuqpmTJlSl7ykpfklFNOadfLBKAD1cqyLKsuAgAAgMaYZgkAADAO\nCXMAAADjkDAHAAAwDglzAAAA45AwBwAAMA4JcwAAAOOQMAcAADAOCXMAAADj0P8HkHJeMBseWmoA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a337a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,8))\n",
    "\n",
    "shares = np.arange(1, 60000)\n",
    "plt.plot(shares, scale_engagements(shares))\n",
    "plt.xlabel(\"shares\")\n",
    "plt.ylabel(\"score\")\n",
    "plt.axhline(scale_engagements(mean), linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axhline(scale_engagements(median), label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axhline(scale_engagements(ninety), linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axhline(scale_engagements(ninetyfive), linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "plt.axhline(scale_engagements(ninetynine), linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "\n",
    "plt.legend(frameon=True, shadow=True)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>size</th>\n",
       "      <th>amin</th>\n",
       "      <th>amax</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>response_score</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.00</th>\n",
       "      <td>26315</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.00</th>\n",
       "      <td>14791</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.00</th>\n",
       "      <td>9188</td>\n",
       "      <td>7</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.00</th>\n",
       "      <td>6501</td>\n",
       "      <td>14</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.00</th>\n",
       "      <td>5544</td>\n",
       "      <td>22</td>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.00</th>\n",
       "      <td>4380</td>\n",
       "      <td>32</td>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.00</th>\n",
       "      <td>3603</td>\n",
       "      <td>43</td>\n",
       "      <td>54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.00</th>\n",
       "      <td>3591</td>\n",
       "      <td>55</td>\n",
       "      <td>69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.00</th>\n",
       "      <td>3145</td>\n",
       "      <td>70</td>\n",
       "      <td>86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.00</th>\n",
       "      <td>2944</td>\n",
       "      <td>87</td>\n",
       "      <td>106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.00</th>\n",
       "      <td>2740</td>\n",
       "      <td>107</td>\n",
       "      <td>129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11.00</th>\n",
       "      <td>2533</td>\n",
       "      <td>130</td>\n",
       "      <td>155</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.00</th>\n",
       "      <td>2364</td>\n",
       "      <td>156</td>\n",
       "      <td>186</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13.00</th>\n",
       "      <td>2383</td>\n",
       "      <td>187</td>\n",
       "      <td>222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.00</th>\n",
       "      <td>2338</td>\n",
       "      <td>223</td>\n",
       "      <td>264</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15.00</th>\n",
       "      <td>2108</td>\n",
       "      <td>265</td>\n",
       "      <td>312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16.00</th>\n",
       "      <td>2145</td>\n",
       "      <td>313</td>\n",
       "      <td>368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17.00</th>\n",
       "      <td>2010</td>\n",
       "      <td>369</td>\n",
       "      <td>433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18.00</th>\n",
       "      <td>1904</td>\n",
       "      <td>434</td>\n",
       "      <td>509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19.00</th>\n",
       "      <td>1966</td>\n",
       "      <td>510</td>\n",
       "      <td>597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20.00</th>\n",
       "      <td>1794</td>\n",
       "      <td>598</td>\n",
       "      <td>699</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21.00</th>\n",
       "      <td>1751</td>\n",
       "      <td>700</td>\n",
       "      <td>818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22.00</th>\n",
       "      <td>1664</td>\n",
       "      <td>819</td>\n",
       "      <td>956</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23.00</th>\n",
       "      <td>1549</td>\n",
       "      <td>957</td>\n",
       "      <td>1116</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24.00</th>\n",
       "      <td>1554</td>\n",
       "      <td>1117</td>\n",
       "      <td>1302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25.00</th>\n",
       "      <td>1523</td>\n",
       "      <td>1303</td>\n",
       "      <td>1518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26.00</th>\n",
       "      <td>1325</td>\n",
       "      <td>1519</td>\n",
       "      <td>1768</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27.00</th>\n",
       "      <td>1276</td>\n",
       "      <td>1769</td>\n",
       "      <td>2060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28.00</th>\n",
       "      <td>1265</td>\n",
       "      <td>2061</td>\n",
       "      <td>2398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29.00</th>\n",
       "      <td>1168</td>\n",
       "      <td>2399</td>\n",
       "      <td>2790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30.00</th>\n",
       "      <td>1148</td>\n",
       "      <td>2791</td>\n",
       "      <td>3246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31.00</th>\n",
       "      <td>1057</td>\n",
       "      <td>3247</td>\n",
       "      <td>3775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32.00</th>\n",
       "      <td>972</td>\n",
       "      <td>3777</td>\n",
       "      <td>4390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33.00</th>\n",
       "      <td>934</td>\n",
       "      <td>4394</td>\n",
       "      <td>5101</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34.00</th>\n",
       "      <td>873</td>\n",
       "      <td>5108</td>\n",
       "      <td>5932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35.00</th>\n",
       "      <td>815</td>\n",
       "      <td>5934</td>\n",
       "      <td>6896</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36.00</th>\n",
       "      <td>761</td>\n",
       "      <td>6897</td>\n",
       "      <td>8014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37.00</th>\n",
       "      <td>609</td>\n",
       "      <td>8016</td>\n",
       "      <td>9308</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38.00</th>\n",
       "      <td>618</td>\n",
       "      <td>9314</td>\n",
       "      <td>10818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39.00</th>\n",
       "      <td>540</td>\n",
       "      <td>10823</td>\n",
       "      <td>12568</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40.00</th>\n",
       "      <td>498</td>\n",
       "      <td>12571</td>\n",
       "      <td>14604</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41.00</th>\n",
       "      <td>401</td>\n",
       "      <td>14609</td>\n",
       "      <td>16943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42.00</th>\n",
       "      <td>385</td>\n",
       "      <td>16989</td>\n",
       "      <td>19704</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43.00</th>\n",
       "      <td>311</td>\n",
       "      <td>19707</td>\n",
       "      <td>22862</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44.00</th>\n",
       "      <td>276</td>\n",
       "      <td>22916</td>\n",
       "      <td>26583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45.00</th>\n",
       "      <td>224</td>\n",
       "      <td>26596</td>\n",
       "      <td>30879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46.00</th>\n",
       "      <td>188</td>\n",
       "      <td>31006</td>\n",
       "      <td>35813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47.00</th>\n",
       "      <td>149</td>\n",
       "      <td>35889</td>\n",
       "      <td>41618</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48.00</th>\n",
       "      <td>115</td>\n",
       "      <td>41659</td>\n",
       "      <td>48277</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49.00</th>\n",
       "      <td>93</td>\n",
       "      <td>48524</td>\n",
       "      <td>55987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50.00</th>\n",
       "      <td>202</td>\n",
       "      <td>56212</td>\n",
       "      <td>1114468</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 size   amin     amax\n",
       "response_score                       \n",
       "0.00            26315      0        1\n",
       "1.00            14791      2        6\n",
       "2.00             9188      7       13\n",
       "3.00             6501     14       21\n",
       "4.00             5544     22       31\n",
       "5.00             4380     32       42\n",
       "6.00             3603     43       54\n",
       "7.00             3591     55       69\n",
       "8.00             3145     70       86\n",
       "9.00             2944     87      106\n",
       "10.00            2740    107      129\n",
       "11.00            2533    130      155\n",
       "12.00            2364    156      186\n",
       "13.00            2383    187      222\n",
       "14.00            2338    223      264\n",
       "15.00            2108    265      312\n",
       "16.00            2145    313      368\n",
       "17.00            2010    369      433\n",
       "18.00            1904    434      509\n",
       "19.00            1966    510      597\n",
       "20.00            1794    598      699\n",
       "21.00            1751    700      818\n",
       "22.00            1664    819      956\n",
       "23.00            1549    957     1116\n",
       "24.00            1554   1117     1302\n",
       "25.00            1523   1303     1518\n",
       "26.00            1325   1519     1768\n",
       "27.00            1276   1769     2060\n",
       "28.00            1265   2061     2398\n",
       "29.00            1168   2399     2790\n",
       "30.00            1148   2791     3246\n",
       "31.00            1057   3247     3775\n",
       "32.00             972   3777     4390\n",
       "33.00             934   4394     5101\n",
       "34.00             873   5108     5932\n",
       "35.00             815   5934     6896\n",
       "36.00             761   6897     8014\n",
       "37.00             609   8016     9308\n",
       "38.00             618   9314    10818\n",
       "39.00             540  10823    12568\n",
       "40.00             498  12571    14604\n",
       "41.00             401  14609    16943\n",
       "42.00             385  16989    19704\n",
       "43.00             311  19707    22862\n",
       "44.00             276  22916    26583\n",
       "45.00             224  26596    30879\n",
       "46.00             188  31006    35813\n",
       "47.00             149  35889    41618\n",
       "48.00             115  41659    48277\n",
       "49.00              93  48524    55987\n",
       "50.00             202  56212  1114468"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "proposed.groupby(\"response_score\").fb_engagements.agg([np.size, np.min, np.max])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good to me, lets save that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"response_score\"] = proposed.response_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Proposal\n",
    "\n",
    "The maximum of 50 points is awarded when the engagements are greater than the 99.9th percentile, rolling over the last month. \n",
    "\n",
    "i.e. where $limit$ is the 99.5th percentile of engagements calculated over the previous month, the response score for article $a$ is:\n",
    "\n",
    "\\begin{align}\n",
    "basicScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   \\log(\\min(engagements_a,limit) + median(engagements))      & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \\frac{basicScore_a - \\min(basicScore)}{\\max(basicScore) - \\min(basicScore)}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "\\text{The latter equation can be expanded to:} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Promotion Score\n",
    "\n",
    "The aim of the promotion score is to indicate how important the article was to the publisher, by tracking where they chose to promote it. This is a number between 0 and 50 comprised of:\n",
    "\n",
    "- 20 points based on whether the article was promoted as the \"lead\" story on the publisher's home page\n",
    "- 15 points based on how long the article was promoted anywhere on the publisher's home page\n",
    "- 15 points based on whether the article was promoted on the publisher's main facebook brand page\n",
    "\n",
    "The first two should be scaled by the popularity/reach of the home page, for which we use the alexa page rank as a proxy.\n",
    "\n",
    "The last should be scaled by the popularity/reach of the brand page, for which we use the number of likes the brand page has."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lead story (20 points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   128531.00\n",
       "mean         8.31\n",
       "std         95.44\n",
       "min          0.00\n",
       "50%          0.00\n",
       "75%          0.00\n",
       "90%          0.00\n",
       "95%          0.00\n",
       "99%        251.00\n",
       "99.5%      520.70\n",
       "99.9%     1143.70\n",
       "max      14584.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.mins_as_lead.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the vast majority of articles don't make it as lead. Let's explore how long typically publishers put something as lead for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "lead_articles = data[data.mins_as_lead > 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    3121.00\n",
       "mean      342.34\n",
       "std       510.76\n",
       "min         3.00\n",
       "25%        89.00\n",
       "50%       192.00\n",
       "75%       440.00\n",
       "90%       796.00\n",
       "95%      1070.00\n",
       "99%      1703.40\n",
       "99.5%    2518.80\n",
       "99.9%    5880.00\n",
       "max     14584.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.describe([0.25, 0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a351208>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RbrnlFn/PBgAArpJPh+HZ2dk6fPiw6tWrp6ysLEVGRmrixIn+ng0AAFwln47gGzZsqNGj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\nPAAABqLgAQAw0P8Dq+lMPR+f2+EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a98c588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For lead, it's a  significant thing for an article to be lead at all, so although we want to penalise articles that were lead for a very short time, mostly we want to score the maximum even if it wasn't lead for ages. So we'll give maximum points when something has been lead for an hour."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10d1cdc88>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9pVdffdXfswEAgGbwKe4XLlzQ5s2b9eWXX6q+vl5xcXEcuQMA0Er5dFp++fLlCgsLU58+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\nAMMQdwAADPN/WIFWZ3chNOwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a1d56d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.clip_upper(60).plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also want to scale this by the alexa page rank, such that the maximum score of 20 points is for an article that was on the front for 4 hours for the most popular site.\n",
    "\n",
    "So lets explore the alexa nunbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "bbc_co_uk                               96\n",
       "cnn_com                                105\n",
       "nytimes_com                            120\n",
       "theguardian_com                        142\n",
       "buzzfeed_com                           147\n",
       "dailymail_co_uk                        158\n",
       "washingtonpost_com                     191\n",
       "huffingtonpost_com                     215\n",
       "foxnews_com                            285\n",
       "rt_com                                 365\n",
       "telegraph_co_uk                        370\n",
       "independent_co_uk                      386\n",
       "reuters_com                            497\n",
       "npr_org                                594\n",
       "nbcnews_com                            826\n",
       "breitbart_com                          994\n",
       "ft_com                                1596\n",
       "economist_com                         1825\n",
       "indy100_com                           5014\n",
       "thetimes_co_uk                        6435\n",
       "thecanary_co                         15686\n",
       "propublica_org                       16066\n",
       "yournewswire_com                     22568\n",
       "order-order_com                      32515\n",
       "anotherangryvoice_blogspot_co_uk     77827\n",
       "westmonster_com                      97775\n",
       "evolvepolitics_com                  119412\n",
       "skwawkbox_org                       152475\n",
       "libdemvoice_org                     344992\n",
       "brexitcentral_com                   469149\n",
       "Name: alexa_rank, dtype: int64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alexa_ranks = data.groupby(by=\"publisher_id\").alexa_rank.mean().sort_values()\n",
    "alexa_ranks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x108987908>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Cs7MzcnNzkZycrPtYIiIioifBIxOyrl27wsbm/23orygKTCYTAMDOzg5paWlIT0+Hvb29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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c1a6a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alexa_ranks.plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try the simple option first: just divide the number of minutes as lead by the alexa rank. What's the scale of numbers we get then."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a167828>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b9e47b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1 = lead_articles.mins_as_lead.clip_upper(60) / lead_articles.alexa_rank\n",
    "lead_proposal_1.plot.hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like there's too much of a cluster around 0. Have we massively over penalised the publishers with a high alexa rank?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10b9e4a58>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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mJiZOnIjixYtj8uTJNv9gamqGzfd4eLghKemezfeJEo0tK6/8/H4y49pDrOd5mXM7L/hY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bf3e7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1.groupby(data.publisher_id).mean().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes. Let's try taking the log of the alexa rank and see if that looks better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10cf420b8>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a2e9c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2 = (lead_articles.mins_as_lead.clip_upper(60) / np.log(lead_articles.alexa_rank))\n",
    "lead_proposal_2.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>33.00</td>\n",
       "      <td>5.19</td>\n",
       "      <td>0.57</td>\n",
       "      <td>2.57</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>96.00</td>\n",
       "      <td>12.68</td>\n",
       "      <td>1.96</td>\n",
       "      <td>0.88</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>206.00</td>\n",
       "      <td>8.55</td>\n",
       "      <td>0.86</td>\n",
       "      <td>2.03</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>27.00</td>\n",
       "      <td>4.43</td>\n",
       "      <td>0.64</td>\n",
       "      <td>1.45</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>105.00</td>\n",
       "      <td>11.86</td>\n",
       "      <td>1.12</td>\n",
       "      <td>1.80</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>181.00</td>\n",
       "      <td>12.53</td>\n",
       "      <td>1.44</td>\n",
       "      <td>4.08</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>159.00</td>\n",
       "      <td>11.46</td>\n",
       "      <td>1.42</td>\n",
       "      <td>3.75</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>44.00</td>\n",
       "      <td>7.55</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.67</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>26.00</td>\n",
       "      <td>5.02</td>\n",
       "      <td>0.59</td>\n",
       "      <td>2.14</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>214.00</td>\n",
       "      <td>10.54</td>\n",
       "      <td>0.50</td>\n",
       "      <td>5.66</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>76.00</td>\n",
       "      <td>7.75</td>\n",
       "      <td>1.54</td>\n",
       "      <td>0.54</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>166.00</td>\n",
       "      <td>10.72</td>\n",
       "      <td>1.81</td>\n",
       "      <td>0.56</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>160.00</td>\n",
       "      <td>9.40</td>\n",
       "      <td>1.93</td>\n",
       "      <td>0.50</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>109.00</td>\n",
       "      <td>5.65</td>\n",
       "      <td>1.96</td>\n",
       "      <td>1.06</td>\n",
       "      <td>4.11</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>10.00</td>\n",
       "      <td>4.58</td>\n",
       "      <td>0.37</td>\n",
       "      <td>3.53</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>111.00</td>\n",
       "      <td>8.79</td>\n",
       "      <td>1.07</td>\n",
       "      <td>0.60</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>164.00</td>\n",
       "      <td>8.84</td>\n",
       "      <td>1.82</td>\n",
       "      <td>0.47</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>67.00</td>\n",
       "      <td>12.10</td>\n",
       "      <td>2.02</td>\n",
       "      <td>1.46</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>178.00</td>\n",
       "      <td>4.13</td>\n",
       "      <td>1.73</td>\n",
       "      <td>0.39</td>\n",
       "      <td>2.41</td>\n",
       "      <td>4.72</td>\n",
       "      <td>5.78</td>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>24.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>78.00</td>\n",
       "      <td>9.23</td>\n",
       "      <td>1.52</td>\n",
       "      <td>0.48</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>78.00</td>\n",
       "      <td>9.71</td>\n",
       "      <td>1.61</td>\n",
       "      <td>0.85</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>5.00</td>\n",
       "      <td>3.77</td>\n",
       "      <td>1.78</td>\n",
       "      <td>1.26</td>\n",
       "      <td>2.51</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>98.00</td>\n",
       "      <td>9.55</td>\n",
       "      <td>1.94</td>\n",
       "      <td>0.85</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>205.00</td>\n",
       "      <td>4.92</td>\n",
       "      <td>1.76</td>\n",
       "      <td>0.93</td>\n",
       "      <td>3.52</td>\n",
       "      <td>6.11</td>\n",
       "      <td>6.21</td>\n",
       "      <td>6.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>132.00</td>\n",
       "      <td>11.35</td>\n",
       "      <td>2.33</td>\n",
       "      <td>0.61</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>74.00</td>\n",
       "      <td>6.60</td>\n",
       "      <td>0.90</td>\n",
       "      <td>1.71</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>83.00</td>\n",
       "      <td>11.01</td>\n",
       "      <td>2.02</td>\n",
       "      <td>0.57</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>43.00</td>\n",
       "      <td>4.96</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.78</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>169.00</td>\n",
       "      <td>3.45</td>\n",
       "      <td>2.29</td>\n",
       "      <td>0.40</td>\n",
       "      <td>1.00</td>\n",
       "      <td>3.39</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                  count  mean  std  min   25%   50%   75%  \\\n",
       "publisher_id                                                                \n",
       "anotherangryvoice_blogspot_co_uk  33.00  5.19 0.57 2.57  5.33  5.33  5.33   \n",
       "bbc_co_uk                         96.00 12.68 1.96 0.88 13.15 13.15 13.15   \n",
       "breitbart_com                    206.00  8.55 0.86 2.03  8.69  8.69  8.69   \n",
       "brexitcentral_com                 27.00  4.43 0.64 1.45  4.59  4.59  4.59   \n",
       "buzzfeed_com                     105.00 11.86 1.12 1.80 12.02 12.02 12.02   \n",
       "cnn_com                          181.00 12.53 1.44 4.08 12.89 12.89 12.89   \n",
       "dailymail_co_uk                  159.00 11.46 1.42 3.75 11.85 11.85 11.85   \n",
       "economist_com                     44.00  7.55 1.68 0.67  7.99  7.99  7.99   \n",
       "evolvepolitics_com                26.00  5.02 0.59 2.14  5.13  5.13  5.13   \n",
       "foxnews_com                      214.00 10.54 0.50 5.66 10.61 10.61 10.61   \n",
       "ft_com                            76.00  7.75 1.54 0.54  8.14  8.14  8.14   \n",
       "huffingtonpost_com               166.00 10.72 1.81 0.56 11.17 11.17 11.17   \n",
       "independent_co_uk                160.00  9.40 1.93 0.50 10.07 10.07 10.07   \n",
       "indy100_com                      109.00  5.65 1.96 1.06  4.11  7.04  7.04   \n",
       "libdemvoice_org                   10.00  4.58 0.37 3.53  4.71  4.71  4.71   \n",
       "nbcnews_com                      111.00  8.79 1.07 0.60  8.93  8.93  8.93   \n",
       "npr_org                          164.00  8.84 1.82 0.47  9.39  9.39  9.39   \n",
       "nytimes_com                       67.00 12.10 2.02 1.46 12.53 12.53 12.53   \n",
       "order-order_com                  178.00  4.13 1.73 0.39  2.41  4.72  5.78   \n",
       "propublica_org                    24.00  6.20 0.00 6.20  6.20  6.20  6.20   \n",
       "reuters_com                       78.00  9.23 1.52 0.48  9.66  9.66  9.66   \n",
       "rt_com                            78.00  9.71 1.61 0.85 10.17 10.17 10.17   \n",
       "skwawkbox_org                      5.00  3.77 1.78 1.26  2.51  5.03  5.03   \n",
       "telegraph_co_uk                   98.00  9.55 1.94 0.85 10.15 10.15 10.15   \n",
       "thecanary_co                     205.00  4.92 1.76 0.93  3.52  6.11  6.21   \n",
       "theguardian_com                  132.00 11.35 2.33 0.61 12.11 12.11 12.11   \n",
       "thetimes_co_uk                    74.00  6.60 0.90 1.71  6.84  6.84  6.84   \n",
       "washingtonpost_com                83.00 11.01 2.02 0.57 11.42 11.42 11.42   \n",
       "westmonster_com                   43.00  4.96 1.01 0.78  5.22  5.22  5.22   \n",
       "yournewswire_com                 169.00  3.45 2.29 0.40  1.00  3.39  5.99   \n",
       "\n",
       "                                   max  \n",
       "publisher_id                            \n",
       "anotherangryvoice_blogspot_co_uk  5.33  \n",
       "bbc_co_uk                        13.15  \n",
       "breitbart_com                     8.69  \n",
       "brexitcentral_com                 4.59  \n",
       "buzzfeed_com                     12.02  \n",
       "cnn_com                          12.89  \n",
       "dailymail_co_uk                  11.85  \n",
       "economist_com                     7.99  \n",
       "evolvepolitics_com                5.13  \n",
       "foxnews_com                      10.61  \n",
       "ft_com                            8.14  \n",
       "huffingtonpost_com               11.17  \n",
       "independent_co_uk                10.07  \n",
       "indy100_com                       7.04  \n",
       "libdemvoice_org                   4.71  \n",
       "nbcnews_com                       8.93  \n",
       "npr_org                           9.39  \n",
       "nytimes_com                      12.53  \n",
       "order-order_com                   5.78  \n",
       "propublica_org                    6.20  \n",
       "reuters_com                       9.66  \n",
       "rt_com                           10.17  \n",
       "skwawkbox_org                     5.03  \n",
       "telegraph_co_uk                  10.15  \n",
       "thecanary_co                      6.21  \n",
       "theguardian_com                  12.11  \n",
       "thetimes_co_uk                    6.84  \n",
       "washingtonpost_com               11.42  \n",
       "westmonster_com                   5.22  \n",
       "yournewswire_com                  5.99  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a67fdd8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SwSKJiIiISAeLJCIiIiIdHLhNNlMY50UhIiJ6ELYkEREREelgkURERESkg91tRPRIKuzz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\n9n0ga+C8dQxfpUqVpMdOZi9uGjRoIH23vnr1au3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MfyIUgODttoiICISHhyMnJwehoaGC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\nQgghhDSDJkmEEEIIIc34f9qWI6LR9NaXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d9859b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).min().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks about right, as long as the smaller publishers were closer to zero. So let's apply feature scaling to this, to give a number between 1 and 20. (Anything not as lead will pass though as zero.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def rescale(series):\n",
    "    return (series - series.min()) / (series.max() - series.min())\n",
    "\n",
    "lead_proposal_3 = np.ceil(20 * rescale(lead_proposal_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.38500569152790032, 13.145359968846892)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.min(), lead_proposal_2.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10f0ae550>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VR5x/xYoVSkhI0ODBg/1BblmWfxkxMTFqamqSx+NRfHy8/3EHx9sL8i5douVyOQMpPWCJ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\nADAYQQ4AgMEIcgAADPZ//3sGfTYxOKIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1021728d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x110306b38>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rT5Oc/KDA9zg52SMhoXCFmlYy44rGet6/X1HF0ROLbV7ysSxx2QEl//1kxuJ6XjiW2E5c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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f05c860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.groupby(data.publisher_id).median().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"lead_score\"] = pd.concat([lead_proposal_3, data.mins_as_lead[data.mins_as_lead==0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     125411\n",
       "1.00         81\n",
       "2.00         57\n",
       "3.00         44\n",
       "4.00         66\n",
       "5.00         45\n",
       "6.00         43\n",
       "7.00         68\n",
       "8.00        145\n",
       "9.00        185\n",
       "10.00       139\n",
       "11.00       140\n",
       "12.00        52\n",
       "13.00        88\n",
       "14.00       313\n",
       "15.00       228\n",
       "16.00       298\n",
       "17.00       363\n",
       "18.00       226\n",
       "19.00       217\n",
       "20.00       322\n",
       "Name: lead_score, dtype: int64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    8.00\n",
       "bbc_co_uk                          20.00\n",
       "breitbart_com                      14.00\n",
       "brexitcentral_com                   7.00\n",
       "buzzfeed_com                       19.00\n",
       "cnn_com                            20.00\n",
       "dailymail_co_uk                    18.00\n",
       "economist_com                      12.00\n",
       "evolvepolitics_com                  8.00\n",
       "foxnews_com                        17.00\n",
       "ft_com                             13.00\n",
       "huffingtonpost_com                 17.00\n",
       "independent_co_uk                  16.00\n",
       "indy100_com                        11.00\n",
       "libdemvoice_org                     7.00\n",
       "nbcnews_com                        14.00\n",
       "npr_org                            15.00\n",
       "nytimes_com                        20.00\n",
       "order-order_com                     9.00\n",
       "propublica_org                     10.00\n",
       "reuters_com                        15.00\n",
       "rt_com                             16.00\n",
       "skwawkbox_org                       8.00\n",
       "telegraph_co_uk                    16.00\n",
       "thecanary_co                       10.00\n",
       "theguardian_com                    19.00\n",
       "thetimes_co_uk                     11.00\n",
       "washingtonpost_com                 18.00\n",
       "westmonster_com                     8.00\n",
       "yournewswire_com                    9.00\n",
       "Name: lead_score, dtype: float64"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In summary then, score for article $a$ is:\n",
    "\n",
    "\n",
    "$$\n",
    "unscaledLeadScore_a = \\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)}\\\\\n",
    "leadScore_a = 19 \\cdot \n",
    "\\frac{unscaledLeadScore_a - \\min(unscaledLeadScore)}\n",
    "{\\max(unscaledLeadScore) - \\min(unscaledLeadScore)} \n",
    "+ 1\n",
    "$$\n",
    "\n",
    "Since the minium value of $minsAsLead$ is 1, $\\min(unscaledLeadScore)$ is pretty insignificant. So we can simplify this to:\n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{unscaledLeadScore_a }\n",
    "     {\\max(unscaledLeadScore)} \n",
    "$$\n",
    "\n",
    "or: \n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} }\n",
    "     {\\frac{60}{\\log(\\max(alexaRank))}} \n",
    "$$\n",
    "\n",
    "$$\n",
    "leadScore_a = \\left( 20 \\cdot \n",
    "\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} \\cdot\n",
    "     {\\frac{\\log(\\max(alexaRank))}{60}} \\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time on front score (15 points)\n",
    "\n",
    "This is similar to time as lead, so lets try doing the same calculation, except we also want to factor in the number of slots on the front:\n",
    "\n",
    "\n",
    "$$frontScore_a = \n",
    "15 \n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.4500000000000002"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data.alexa_rank * data.num_articles_on_front).min() / 1440"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "time_on_front_proposal_1 = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1103c19e8>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/+9/Pjh07Mm/evMyfPz/Lli1LtVpNktx4442ZPXt25s6dm6eeeipJDuksAAAAh66uK4Sj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\nAZoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d6612e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_on_front_proposal_1.plot.hist(figsize=(15, 7), bins=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.00     57630\n",
       "2.00      7582\n",
       "3.00      5342\n",
       "4.00      4237\n",
       "5.00      1161\n",
       "6.00       680\n",
       "7.00       578\n",
       "8.00       498\n",
       "9.00       731\n",
       "10.00      271\n",
       "11.00      123\n",
       "12.00      321\n",
       "13.00       66\n",
       "14.00       49\n",
       "15.00      317\n",
       "dtype: int64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk      60.00\n",
       "bbc_co_uk                          14530.00\n",
       "breitbart_com                       2592.00\n",
       "brexitcentral_com                     40.00\n",
       "buzzfeed_com                       11209.00\n",
       "cnn_com                            12716.00\n",
       "dailymail_co_uk                    14314.00\n",
       "economist_com                        328.00\n",
       "evolvepolitics_com                    47.00\n",
       "foxnews_com                         9078.00\n",
       "ft_com                              3300.00\n",
       "huffingtonpost_com                  8148.00\n",
       "independent_co_uk                   4942.00\n",
       "indy100_com                          415.00\n",
       "libdemvoice_org                      104.00\n",
       "nbcnews_com                         2022.00\n",
       "npr_org                             2733.00\n",
       "nytimes_com                         9710.00\n",
       "order-order_com                      226.00\n",
       "propublica_org                        40.00\n",
       "reuters_com                         7027.00\n",
       "rt_com                              2200.00\n",
       "skwawkbox_org                         99.00\n",
       "telegraph_co_uk                     6292.00\n",
       "thecanary_co                         314.00\n",
       "theguardian_com                    13124.00\n",
       "thetimes_co_uk                      8661.00\n",
       "washingtonpost_com                  9822.00\n",
       "westmonster_com                      137.00\n",
       "yournewswire_com                     246.00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.groupby(data.publisher_id).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks good to me."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"front_score\"] = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id\n",
       "0d2c10289ac562afa42b458bf238defd5b7d86d8    0.00\n",
       "0d35eb2f3c53ad8218866a0927082b0a2a53576d    1.00\n",
       "20a659b9ee677b718b5834566795b6e231541a9b    1.00\n",
       "7572bc3039f8f0ad83fea23d2692d5bd8a4cadd9    1.00\n",
       "a8e2c63260f908b2f091862fff1b884da0eb5fe9    0.00\n",
       "73a0112050c4cc9ed84283e554320c252503624c    1.00\n",
       "9599a718d0004a66b97fbf3679e7fc3efc2172ef    0.00\n",
       "1d3c90bfd083053501ee225c3a744d8b29cd51a8    1.00\n",
       "a5235e1a73a409d927fd3d2ee1b82f9684b131c9    1.00\n",
       "fc2a46c86e4f57b3e6f6ec9f3cb67a0f4bf1687f    3.00\n",
       "71677691696f159fe2c72c8a518d786ac058c29c    1.00\n",
       "165bc8d9292928cd1c95517f368e6e01912fa93c    8.00\n",
       "c07415e598aa79d92d02cf453da42b04ed6346af    0.00\n",
       "9ac7ebf2b4ea4db4b588dd917c36020ab66a5c94   12.00\n",
       "aa3d9df1b0ed9dd9a6af0e7c320961b955694313    0.00\n",
       "a6e840df7019548c0f027b3bb25b76d232fda5c0    0.00\n",
       "49b056d35946eac75f3487f48bd9d98d2f01cf6d    8.00\n",
       "92582d085e7a346254e10df2dc5e1a107fd41429    1.00\n",
       "3ba688954a3a02b733b9008ea53ba53d09bac620    1.00\n",
       "290c5016d53b641a16b46442acc17c82c096e2f7    1.00\n",
       "77f30ff0be3bc69e52f34d33c4894e42f0dd79dc    1.00\n",
       "163643dc4945102021dcae63b0ed3f3f2a1f5243    0.00\n",
       "0515e198f8b1efcc948c2345268864ea6189c79a    3.00\n",
       "07db392fcd8a65d386cede6b1327c818851092dc    3.00\n",
       "5604f485243c99ff0c1229c80a1e2b5b6e38b8bd    1.00\n",
       "af4a800d6274643d1fcf9aa235af296bb52e3799    3.00\n",
       "52b2fe8f29ad72d3f91013ecfc6fc17e35f2191a    3.00\n",
       "4394b6d6f7e859071bab0308ed4102bb278e34f9    1.00\n",
       "5c297fb8a152b865dcc61e86b47fff1ac89ac288    3.00\n",
       "f2a81eb2eb304cf22ff4e38da4b80d37766ddd75    0.00\n",
       "                                            ... \n",
       "94f6090fd02f980f585c9f1ffa076dc2458b6b6b    1.00\n",
       "4c9a933fbb59607f3fe5930308fb93a1d9ca096d    1.00\n",
       "99b09fefa1efeae0f99ee25f5476aaf546bca2a0    0.00\n",
       "ccaab4f30a464e7fa7bc7631cced4ebc4a8dc7aa    0.00\n",
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       "c65d609f465035dffaa381716c39637d95c753de    2.00\n",
       "612574bad40af6199ca7845191ccedbccb18ac27    0.00\n",
       "52ef152f2e267c1afddda5703930d7ea80071236    7.00\n",
       "bf43aa49a95f3e9fe6c3d0b8b724ae8922dd8fcd    1.00\n",
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       "0f30506e8edf349a8f991ce993f2317be6d0baf4    2.00\n",
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       "038534d000e19644d30a296b9cc9439beb32ecb7    0.00\n",
       "459dd178f9e79278695823f8b53018bf3aa69899    0.00\n",
       "e3123b4c8a6167f72bc79b33471a67b9f470009a    1.00\n",
       "7fd85e5f7dbb505c35a8500956e9eabced4aef2b    1.00\n",
       "628c0c659b59f4de8b63b31f11030d7549fe42fa    0.00\n",
       "155ceec1f40a2f27b47102667bd784f815e0168c    0.00\n",
       "6731dd99a08ee5f15d8449e18ee8c5864743ef6d    1.00\n",
       "50b596ee52f94ddcc2f40714bb2d414e121c4944    3.00\n",
       "7303371ea0cc73e8412cd85f687def3d01746bd5    7.00\n",
       "b5d2b89adef17fb4937fc7eda8c0140ab219d602    5.00\n",
       "61bc48f75a81fffd62ea9fde47d69a9ecfb11f0a    0.00\n",
       "e528905ca29f637e921e4a04fef409667b2a40af    2.00\n",
       "37c0721db62a3b783627d8deb54f8143ca510990    1.00\n",
       "ec8b14060bf1cffa51678dc6dd13321563c266c7    1.00\n",
       "cc59fd3a31ae413de8a8eea951e6bda63cc36b66    0.00\n",
       "34cb49caea1c0008f83f2f383466295c49cd1511    0.00\n",
       "ab3787dcb90e62a8ac6a4fb6177e33cff5870251    1.00\n",
       "accfcbdbbd052320c78ad65eafc403d6109657f3    1.00\n",
       "Name: front_score, Length: 128531, dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.front_score "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Facebook brand page promotion (15 points)\n",
    "\n",
    "One way a publisher has of promoting content is to post to their brand page. The significance of doing so is stronger when the brand page has more followers (likes).\n",
    "\n",
    "$$ facebookPromotionProposed1_a = 15 \\left( \\frac {brandPageLikes_a} {\\max(brandPageLikes)} \\right) $$\n",
    "\n",
    "Now lets explore the data to see if that makes sense. **tr;dr the formula above is incorrect**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "41834404.0"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_1 = np.ceil((15 * (data.fb_brand_page_likes / data.fb_brand_page_likes.max())).fillna(0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1103069b0>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a80a6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.value_counts().sort_index().plot.bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>60.00</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>3682.00</td>\n",
       "      <td>2.16</td>\n",
       "      <td>5.27</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>2722.00</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>47.00</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>1962.00</td>\n",
       "      <td>0.28</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3923.00</td>\n",
       "      <td>2.45</td>\n",
       "      <td>4.30</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>25993.00</td>\n",
       "      <td>0.46</td>\n",
       "      <td>1.33</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>576.00</td>\n",
       "      <td>2.02</td>\n",
       "      <td>1.41</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>54.00</td>\n",
       "      <td>0.72</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>6776.00</td>\n",
       "      <td>0.58</td>\n",
       "      <td>1.77</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>3526.00</td>\n",
       "      <td>0.59</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>4758.00</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1.78</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>6672.00</td>\n",
       "      <td>0.59</td>\n",
       "      <td>1.19</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>424.00</td>\n",
       "      <td>0.14</td>\n",
       "      <td>0.35</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>181.00</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>2253.00</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>2086.00</td>\n",
       "      <td>1.42</td>\n",
       "      <td>1.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>5434.00</td>\n",
       "      <td>1.41</td>\n",
       "      <td>2.39</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>339.00</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>42.00</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.30</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>5760.00</td>\n",
       "      <td>0.34</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>2407.00</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>158.00</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>7886.00</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>328.00</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.34</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>9008.00</td>\n",
       "      <td>0.52</td>\n",
       "      <td>1.14</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>8681.00</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>22174.00</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>249.00</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>370.00</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    count  mean  std  min  25%  50%  75%   max\n",
       "publisher_id                                                                  \n",
       "anotherangryvoice_blogspot_co_uk    60.00  0.45 0.50 0.00 0.00 0.00 1.00  1.00\n",
       "bbc_co_uk                         3682.00  2.16 5.27 0.00 0.00 0.00 0.00 15.00\n",
       "breitbart_com                     2722.00  0.62 0.93 0.00 0.00 0.00 2.00  2.00\n",
       "brexitcentral_com                   47.00  0.60 0.50 0.00 0.00 1.00 1.00  1.00\n",
       "buzzfeed_com                      1962.00  0.28 0.45 0.00 0.00 0.00 1.00  1.00\n",
       "cnn_com                           3923.00  2.45 4.30 0.00 0.00 0.00 0.00 10.00\n",
       "dailymail_co_uk                  25993.00  0.46 1.33 0.00 0.00 0.00 0.00  5.00\n",
       "economist_com                      576.00  2.02 1.41 0.00 0.00 3.00 3.00  3.00\n",
       "evolvepolitics_com                  54.00  0.72 0.45 0.00 0.00 1.00 1.00  1.00\n",
       "foxnews_com                       6776.00  0.58 1.77 0.00 0.00 0.00 0.00  6.00\n",
       "ft_com                            3526.00  0.59 0.91 0.00 0.00 0.00 2.00  2.00\n",
       "huffingtonpost_com                4758.00  1.10 1.78 0.00 0.00 0.00 4.00  4.00\n",
       "independent_co_uk                 6672.00  0.59 1.19 0.00 0.00 0.00 0.00  3.00\n",
       "indy100_com                        424.00  0.14 0.35 0.00 0.00 0.00 0.00  1.00\n",
       "libdemvoice_org                    181.00  0.56 0.50 0.00 0.00 1.00 1.00  1.00\n",
       "nbcnews_com                       2253.00  2.01 2.00 0.00 0.00 4.00 4.00  4.00\n",
       "npr_org                           2086.00  1.42 1.50 0.00 0.00 0.00 3.00  3.00\n",
       "nytimes_com                       5434.00  1.41 2.39 0.00 0.00 0.00 5.00  6.00\n",
       "order-order_com                    339.00  0.47 0.50 0.00 0.00 0.00 1.00  1.00\n",
       "propublica_org                      42.00  0.90 0.30 0.00 1.00 1.00 1.00  1.00\n",
       "reuters_com                       5760.00  0.34 0.75 0.00 0.00 0.00 0.00  2.00\n",
       "rt_com                            2407.00  0.51 0.87 0.00 0.00 0.00 2.00  2.00\n",
       "skwawkbox_org                      158.00  0.70 0.46 0.00 0.00 1.00 1.00  1.00\n",
       "telegraph_co_uk                   7886.00  0.50 0.86 0.00 0.00 0.00 0.00  2.00\n",
       "thecanary_co                       328.00  0.87 0.34 0.00 1.00 1.00 1.00  1.00\n",
       "theguardian_com                   9008.00  0.52 1.14 0.00 0.00 0.00 0.00  3.00\n",
       "thetimes_co_uk                    8681.00  0.06 0.24 0.00 0.00 0.00 0.00  1.00\n",
       "washingtonpost_com               22174.00  0.19 0.73 0.00 0.00 0.00 0.00  3.00\n",
       "westmonster_com                    249.00  0.24 0.43 0.00 0.00 0.00 0.00  1.00\n",
       "yournewswire_com                   370.00  0.04 0.20 0.00 0.00 0.00 0.00  1.00"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's too much variation: sites like the Guardian, which have a respectable 7.5m likes, should not be scoring a 3. Lets try applying a log to it, and then standard feature scaling again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk     300227.00\n",
       "bbc_co_uk                          41834404.00\n",
       "breitbart_com                       3422611.00\n",
       "brexitcentral_com                      6484.00\n",
       "buzzfeed_com                        2526061.00\n",
       "cnn_com                            27506850.00\n",
       "dailymail_co_uk                    11298065.00\n",
       "economist_com                       8088734.00\n",
       "evolvepolitics_com                    79072.00\n",
       "foxnews_com                        15383159.00\n",
       "ft_com                              3547359.00\n",
       "huffingtonpost_com                  9494261.00\n",
       "independent_co_uk                   6908633.00\n",
       "indy100_com                          183154.00\n",
       "libdemvoice_org                        8169.00\n",
       "nbcnews_com                         8979704.00\n",
       "npr_org                             6008762.00\n",
       "nytimes_com                        14025241.00\n",
       "order-order_com                       41270.00\n",
       "propublica_org                       331091.00\n",
       "reuters_com                         3733774.00\n",
       "rt_com                              4455067.00\n",
       "skwawkbox_org                          2149.00\n",
       "telegraph_co_uk                     4161563.00\n",
       "thecanary_co                         134798.00\n",
       "theguardian_com                     7466172.00\n",
       "thetimes_co_uk                       645611.00\n",
       "washingtonpost_com                  5847964.00\n",
       "westmonster_com                       10794.00\n",
       "yournewswire_com                      24040.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.6727578966425103"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(2149)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk   12.61\n",
       "bbc_co_uk                          17.55\n",
       "breitbart_com                      15.05\n",
       "brexitcentral_com                   8.78\n",
       "buzzfeed_com                       14.74\n",
       "cnn_com                            17.13\n",
       "dailymail_co_uk                    16.24\n",
       "economist_com                      15.91\n",
       "evolvepolitics_com                 11.28\n",
       "foxnews_com                        16.55\n",
       "ft_com                             15.08\n",
       "huffingtonpost_com                 16.07\n",
       "independent_co_uk                  15.75\n",
       "indy100_com                        12.12\n",
       "libdemvoice_org                     9.01\n",
       "nbcnews_com                        16.01\n",
       "npr_org                            15.61\n",
       "nytimes_com                        16.46\n",
       "order-order_com                    10.63\n",
       "propublica_org                     12.71\n",
       "reuters_com                        15.13\n",
       "rt_com                             15.31\n",
       "skwawkbox_org                       7.67\n",
       "telegraph_co_uk                    15.24\n",
       "thecanary_co                       11.81\n",
       "theguardian_com                    15.83\n",
       "thetimes_co_uk                     13.38\n",
       "washingtonpost_com                 15.58\n",
       "westmonster_com                     9.29\n",
       "yournewswire_com                   10.09\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's more like it, but the lower numbers should be smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    5.70\n",
       "bbc_co_uk                          10.64\n",
       "breitbart_com                       8.14\n",
       "brexitcentral_com                   1.87\n",
       "buzzfeed_com                        7.83\n",
       "cnn_com                            10.22\n",
       "dailymail_co_uk                     9.33\n",
       "economist_com                       9.00\n",
       "evolvepolitics_com                  4.37\n",
       "foxnews_com                         9.64\n",
       "ft_com                              8.17\n",
       "huffingtonpost_com                  9.16\n",
       "independent_co_uk                   8.84\n",
       "indy100_com                         5.21\n",
       "libdemvoice_org                     2.10\n",
       "nbcnews_com                         9.10\n",
       "npr_org                             8.70\n",
       "nytimes_com                         9.55\n",
       "order-order_com                     3.72\n",
       "propublica_org                      5.80\n",
       "reuters_com                         8.23\n",
       "rt_com                              8.40\n",
       "skwawkbox_org                       0.77\n",
       "telegraph_co_uk                     8.33\n",
       "thecanary_co                        4.90\n",
       "theguardian_com                     8.92\n",
       "thetimes_co_uk                      6.47\n",
       "washingtonpost_com                  8.67\n",
       "westmonster_com                     2.38\n",
       "yournewswire_com                    3.18\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max() / 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "scaled_fb_brand_page_likes = (data.fb_brand_page_likes / 1000)\n",
    "facebook_promotion_proposed_2 = np.ceil(\\\n",
    "    (15 * \\\n",
    "     (np.log(scaled_fb_brand_page_likes) / np.log(scaled_fb_brand_page_likes.max()))\\\n",
    "    )\\\n",
    "                                       ).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    9.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   3.00\n",
       "buzzfeed_com                       12.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  7.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         8.00\n",
       "libdemvoice_org                     3.00\n",
       "nbcnews_com                        13.00\n",
       "npr_org                            13.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     6.00\n",
       "propublica_org                      9.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       2.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        7.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                     10.00\n",
       "washingtonpost_com                 13.00\n",
       "westmonster_com                     4.00\n",
       "yournewswire_com                    5.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_2.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LGTM. So the equation is\n",
    "\n",
    "\n",
    "$$ facebookPromotion_a = 15 \\left( \n",
    "\\frac {\\log(\\frac {brandPageLikes_a}{1000})} \n",
    "{\\log(\\frac {\\max(brandPageLikes)}{1000}))} \\right) $$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's try applying standard feature scaling approch to this, rather than using a magic number of 1,000. That equation would be:\n",
    "\n",
    "\\begin{align}\n",
    "unscaledFacebookPromotion_a &= \n",
    "   \\log(brandPageLikes_a) \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\min(unscaledFacebookPromotion)}{\\max(unscaledFacebookPromotion) - \\min(unscaledFacebookPromotion)}  \\\\\n",
    "\\\\\n",
    "\\text{The scaling can be simplified to:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\\\\n",
    "\\\\\n",
    "\\text{Meaning the overall equation becomes:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))} \n",
    "   \\end{align}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_3 = np.ceil(\n",
    "    (14 * \n",
    "     ( \n",
    "         (np.log(data.fb_brand_page_likes) - np.log(data.fb_brand_page_likes.min()) ) /\n",
    "         (np.log(data.fb_brand_page_likes.max()) - np.log(data.fb_brand_page_likes.min()))\n",
    "     )\n",
    "    ) + 1\n",
    "                                       )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    9.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   3.00\n",
       "buzzfeed_com                       12.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  7.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         8.00\n",
       "libdemvoice_org                     4.00\n",
       "nbcnews_com                        13.00\n",
       "npr_org                            13.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     6.00\n",
       "propublica_org                      9.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       2.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        8.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                     10.00\n",
       "washingtonpost_com                 13.00\n",
       "westmonster_com                     4.00\n",
       "yournewswire_com                    5.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_3.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"facebook_promotion_score\"] = facebook_promotion_proposed_3.fillna(0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Review"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"promotion_score\"] = (data.lead_score + data.front_score + data.facebook_promotion_score)\n",
    "data[\"attention_index\"] = (data.promotion_score + data.response_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1105b1e48>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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27Wd+3pEjR7J27dq88MILOXz4cK655pq87W1vy+rVq1Or1TJv3rysX78+HR0due222/LY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e46bda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.promotion_score.plot.hist(bins=np.arange(50), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x111b3d2b0>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112d70240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.attention_index.plot.hist(bins=np.arange(100), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     16623\n",
       "1.00     16081\n",
       "2.00     11230\n",
       "3.00      7516\n",
       "4.00      5775\n",
       "5.00      4667\n",
       "6.00      3814\n",
       "7.00      3321\n",
       "8.00      3030\n",
       "9.00      2741\n",
       "10.00     2492\n",
       "11.00     2345\n",
       "12.00     2071\n",
       "13.00     2061\n",
       "14.00     2038\n",
       "15.00     1861\n",
       "16.00     1869\n",
       "17.00     1747\n",
       "18.00     1626\n",
       "19.00     1562\n",
       "20.00     1516\n",
       "21.00     1406\n",
       "22.00     1375\n",
       "23.00     1229\n",
       "24.00     1228\n",
       "25.00     1230\n",
       "26.00     1152\n",
       "27.00     1051\n",
       "28.00     1053\n",
       "29.00     1017\n",
       "         ...  \n",
       "65.00      142\n",
       "66.00      138\n",
       "67.00       99\n",
       "68.00       95\n",
       "69.00       87\n",
       "70.00       67\n",
       "71.00       64\n",
       "72.00       53\n",
       "73.00       70\n",
       "74.00       48\n",
       "75.00       35\n",
       "76.00       41\n",
       "77.00       40\n",
       "78.00       24\n",
       "79.00       29\n",
       "80.00       22\n",
       "81.00       25\n",
       "82.00       18\n",
       "83.00       19\n",
       "84.00       21\n",
       "85.00       20\n",
       "86.00       10\n",
       "87.00       14\n",
       "88.00       13\n",
       "89.00        8\n",
       "90.00        5\n",
       "91.00        2\n",
       "92.00        4\n",
       "94.00        1\n",
       "96.00        1\n",
       "Name: attention_index, Length: 95, dtype: int64"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.attention_index.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "    <tr>\n",
       "      <th>14b0e444e8db057a9aa6df60b8172cf700f280c5</th>\n",
       "      <td>http://money.cnn.com/2017/05/02/news/economy/o...</td>\n",
       "      <td>The House just passed a bill that affects over...</td>\n",
       "      <td>2017-05-03 01:28:04.624</td>\n",
       "      <td>2017-05-03 00:11:11.000</td>\n",
       "      <td>85276</td>\n",
       "      <td>258.69</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27386540.00</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>94.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fab8d9250617795d93b7383e0e1cf86352338181</th>\n",
       "      <td>http://www.bbc.co.uk/news/live/world-europe-39...</td>\n",
       "      <td>French election: Macron and Le Pen in crucial ...</td>\n",
       "      <td>2017-05-07 14:24:01.542</td>\n",
       "      <td>2017-05-07 14:17:24.671</td>\n",
       "      <td>28022</td>\n",
       "      <td>43.08</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41287024.00</td>\n",
       "      <td>96</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>92.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42294296116b94aff50a439a4fca04dd396aac0c</th>\n",
       "      <td>https://www.buzzfeed.com/salvadorhernandez/hey...</td>\n",
       "      <td>Hey Guys, What Do You Think About A Dwayne Joh...</td>\n",
       "      <td>2017-05-21 04:48:18.390</td>\n",
       "      <td>2017-05-21 04:03:49.000</td>\n",
       "      <td>32996</td>\n",
       "      <td>77.86</td>\n",
       "      <td>2486.00</td>\n",
       "      <td>28269.00</td>\n",
       "      <td>2241.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>25.00</td>\n",
       "      <td>True</td>\n",
       "      <td>2505771.00</td>\n",
       "      <td>147</td>\n",
       "      <td>46.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>92.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f1ba80ccf9b7979418c5326503bc897b98eafd92</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-europe-39839349</td>\n",
       "      <td>French election: Macron 'defeats Le Pen to bec...</td>\n",
       "      <td>2017-05-07 18:12:02.316</td>\n",
       "      <td>2017-05-07 18:07:12.000</td>\n",
       "      <td>64768</td>\n",
       "      <td>68.76</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41277414.00</td>\n",
       "      <td>96</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>92.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156</th>\n",
       "      <td>https://www.buzzfeed.com/emaoconnor/students-w...</td>\n",
       "      <td>Students Walked Out Of Notre Dame's Graduation...</td>\n",
       "      <td>2017-05-21 18:27:14.894</td>\n",
       "      <td>2017-05-21 18:26:18.000</td>\n",
       "      <td>31643</td>\n",
       "      <td>61.50</td>\n",
       "      <td>2826.00</td>\n",
       "      <td>27299.00</td>\n",
       "      <td>1518.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>25.00</td>\n",
       "      <td>True</td>\n",
       "      <td>2506360.00</td>\n",
       "      <td>147</td>\n",
       "      <td>46.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>92.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788</th>\n",
       "      <td>https://www.buzzfeed.com/laurasilver/these-are...</td>\n",
       "      <td>These Are The Victims Of The Manchester Terror...</td>\n",
       "      <td>2017-05-23 13:00:16.480</td>\n",
       "      <td>2017-05-23 12:57:53.000</td>\n",
       "      <td>27291</td>\n",
       "      <td>23.27</td>\n",
       "      <td>1368.00</td>\n",
       "      <td>21764.00</td>\n",
       "      <td>4159.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>25.00</td>\n",
       "      <td>True</td>\n",
       "      <td>2511571.00</td>\n",
       "      <td>147</td>\n",
       "      <td>45.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5d0e52fea29802318a75911f3371624df4595ae4</th>\n",
       "      <td>http://www.cnn.com/2017/05/24/politics/jeff-se...</td>\n",
       "      <td>First on CNN: AG Sessions did not disclose mee...</td>\n",
       "      <td>2017-05-24 22:05:16.913</td>\n",
       "      <td>2017-05-24 22:00:15.000</td>\n",
       "      <td>49692</td>\n",
       "      <td>51.92</td>\n",
       "      <td>9803.00</td>\n",
       "      <td>34058.00</td>\n",
       "      <td>5831.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27444874.00</td>\n",
       "      <td>105</td>\n",
       "      <td>49.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>b09f91cf0b955b39e0e58b4ce530cd0942e4a92f</th>\n",
       "      <td>http://www.bbc.co.uk/news/entertainment-arts-4...</td>\n",
       "      <td>Blue Peter presenter John Noakes dies</td>\n",
       "      <td>2017-05-29 09:55:02.826</td>\n",
       "      <td>2017-05-29 09:49:34.000</td>\n",
       "      <td>45987</td>\n",
       "      <td>49.74</td>\n",
       "      <td>6860.00</td>\n",
       "      <td>35256.00</td>\n",
       "      <td>3871.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41787920.00</td>\n",
       "      <td>96</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2f34e56453c871882bb30b655e234d8aba32dfdc</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/portland-s...</td>\n",
       "      <td>The Portland Heroes Who Stood Up To Hate</td>\n",
       "      <td>2017-05-28 22:27:10.745</td>\n",
       "      <td>2017-05-28 08:11:53.000</td>\n",
       "      <td>57925</td>\n",
       "      <td>43.39</td>\n",
       "      <td>2182.00</td>\n",
       "      <td>50049.00</td>\n",
       "      <td>5694.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>26.00</td>\n",
       "      <td>True</td>\n",
       "      <td>9485928.00</td>\n",
       "      <td>215</td>\n",
       "      <td>50.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4accbfb7fefcf1eb39df7fac49bd18bc4527f539</th>\n",
       "      <td>http://www.cnn.com/2017/05/01/politics/investi...</td>\n",
       "      <td>The FBI translator who went rogue and married ...</td>\n",
       "      <td>2017-05-01 19:47:57.988</td>\n",
       "      <td>2017-05-01 19:39:14.000</td>\n",
       "      <td>32070</td>\n",
       "      <td>36.45</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27377584.00</td>\n",
       "      <td>105</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>afeaaba2df87ace5da55c7e5aad38d7aca9546f8</th>\n",
       "      <td>http://www.cnn.com/interactive/2017/05/politic...</td>\n",
       "      <td>Sheriff David Clarke plagiarized portions of h...</td>\n",
       "      <td>2017-05-20 23:45:04.481</td>\n",
       "      <td>2017-05-20 23:36:34.000</td>\n",
       "      <td>36361</td>\n",
       "      <td>56.08</td>\n",
       "      <td>13115.00</td>\n",
       "      <td>18114.00</td>\n",
       "      <td>5132.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27393308.00</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>09a3a8400c4395f2e18ba818b42912357e8e58ae</th>\n",
       "      <td>http://www.bbc.co.uk/news/election-2017-40053427</td>\n",
       "      <td>General election 2017: Corbyn links terror thr...</td>\n",
       "      <td>2017-05-25 21:10:03.897</td>\n",
       "      <td>2017-05-25 21:03:46.000</td>\n",
       "      <td>28189</td>\n",
       "      <td>34.00</td>\n",
       "      <td>11358.00</td>\n",
       "      <td>14371.00</td>\n",
       "      <td>2460.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41702575.00</td>\n",
       "      <td>96</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7638bc116fc4499d08b4070e417ad266fb3e23e9</th>\n",
       "      <td>http://www.cnn.com/2017/05/09/politics/james-c...</td>\n",
       "      <td>FBI director James Comey fired</td>\n",
       "      <td>2017-05-09 21:55:19.328</td>\n",
       "      <td>2017-05-09 21:53:47.000</td>\n",
       "      <td>39822</td>\n",
       "      <td>48.57</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27317096.00</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c8c4364097e3139baf5b82eda04df00d350e8343</th>\n",
       "      <td>http://www.cnn.com/2017/05/26/us/portland-trai...</td>\n",
       "      <td>Man shouting anti-Muslim slurs kills 2 on Port...</td>\n",
       "      <td>2017-05-27 03:27:15.372</td>\n",
       "      <td>2017-05-27 03:23:54.000</td>\n",
       "      <td>27952</td>\n",
       "      <td>24.50</td>\n",
       "      <td>7626.00</td>\n",
       "      <td>16105.00</td>\n",
       "      <td>4221.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27475760.00</td>\n",
       "      <td>105</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ddcf39b5f71753ab726057de7647b1922cb10d32</th>\n",
       "      <td>http://www.bbc.co.uk/news/entertainment-arts-4...</td>\n",
       "      <td>Manchester attacks: Stars to join Ariana Grand...</td>\n",
       "      <td>2017-05-30 15:20:02.705</td>\n",
       "      <td>2017-05-30 15:16:43.000</td>\n",
       "      <td>41965</td>\n",
       "      <td>37.72</td>\n",
       "      <td>3029.00</td>\n",
       "      <td>35012.00</td>\n",
       "      <td>3924.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41807079.00</td>\n",
       "      <td>96</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81</th>\n",
       "      <td>http://www.bbc.co.uk/news/uk-39802636</td>\n",
       "      <td>Duke of Edinburgh to retire from royal duties</td>\n",
       "      <td>2017-05-04 09:08:01.799</td>\n",
       "      <td>2017-05-04 09:06:23.000</td>\n",
       "      <td>23879</td>\n",
       "      <td>31.17</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41300131.00</td>\n",
       "      <td>96</td>\n",
       "      <td>44.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f52875ade537d88acc4d0070faa6f66107b28f6f</th>\n",
       "      <td>http://www.bbc.co.uk/news/election-2017-40105324</td>\n",
       "      <td>Jeremy Corbyn to take part in seven-way TV debate</td>\n",
       "      <td>2017-05-31 11:30:11.567</td>\n",
       "      <td>2017-05-31 11:24:24.000</td>\n",
       "      <td>16409</td>\n",
       "      <td>34.05</td>\n",
       "      <td>4954.00</td>\n",
       "      <td>9252.00</td>\n",
       "      <td>2203.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>45.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41822932.00</td>\n",
       "      <td>96</td>\n",
       "      <td>41.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2b382725ca5dc2e921e92f060dbb8920b9dc1fb1</th>\n",
       "      <td>https://www.buzzfeed.com/claudiakoerner/jeremy...</td>\n",
       "      <td>The White Supremacist Accused Of The Portland ...</td>\n",
       "      <td>2017-05-30 22:30:14.879</td>\n",
       "      <td>2017-05-30 22:29:38.000</td>\n",
       "      <td>19853</td>\n",
       "      <td>59.50</td>\n",
       "      <td>4263.00</td>\n",
       "      <td>13851.00</td>\n",
       "      <td>1739.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>25.00</td>\n",
       "      <td>True</td>\n",
       "      <td>2525437.00</td>\n",
       "      <td>147</td>\n",
       "      <td>43.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2c19bf826aa073d0675b97f04b199cdf8de521f2</th>\n",
       "      <td>http://www.cnn.com/2017/05/15/politics/trump-r...</td>\n",
       "      <td>Washington Post: Trump leaked classified info ...</td>\n",
       "      <td>2017-05-15 22:15:13.349</td>\n",
       "      <td>2017-05-15 22:10:37.000</td>\n",
       "      <td>39566</td>\n",
       "      <td>47.98</td>\n",
       "      <td>19346.00</td>\n",
       "      <td>15974.00</td>\n",
       "      <td>4246.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27352796.00</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>332d434b07b350510549833225fe392117243c0c</th>\n",
       "      <td>http://www.cnn.com/2017/05/04/politics/health-...</td>\n",
       "      <td>Countdown is on to nail-biter Obamacare repeal...</td>\n",
       "      <td>2017-05-04 10:05:24.746</td>\n",
       "      <td>2017-05-04 10:00:18.000</td>\n",
       "      <td>27425</td>\n",
       "      <td>39.17</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27396532.00</td>\n",
       "      <td>105</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1</th>\n",
       "      <td>https://www.nytimes.com/2017/05/12/us/politics...</td>\n",
       "      <td>Trump Threatens Retaliation Against Comey, War...</td>\n",
       "      <td>2017-05-12 13:05:04.079</td>\n",
       "      <td>2017-05-12 13:03:08.000</td>\n",
       "      <td>63535</td>\n",
       "      <td>62.00</td>\n",
       "      <td>16657.00</td>\n",
       "      <td>39053.00</td>\n",
       "      <td>7825.00</td>\n",
       "      <td>New York Times</td>\n",
       "      <td>...</td>\n",
       "      <td>121.00</td>\n",
       "      <td>True</td>\n",
       "      <td>13902139.00</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a6512f6b09240bd0ad24afe567bc301979abceca</th>\n",
       "      <td>http://www.bbc.co.uk/news/election-2017-39956541</td>\n",
       "      <td>Conservative manifesto: Firms to pay more to h...</td>\n",
       "      <td>2017-05-17 21:15:08.119</td>\n",
       "      <td>2017-05-17 21:14:28.000</td>\n",
       "      <td>15755</td>\n",
       "      <td>14.98</td>\n",
       "      <td>6394.00</td>\n",
       "      <td>7365.00</td>\n",
       "      <td>1996.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>47.00</td>\n",
       "      <td>True</td>\n",
       "      <td>41465378.00</td>\n",
       "      <td>96</td>\n",
       "      <td>41.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e96d445a030fc2b1cbb0b318c131d96430a1c8e9</th>\n",
       "      <td>https://www.nytimes.com/2017/05/17/us/politics...</td>\n",
       "      <td>Robert Mueller, Former F.B.I. Director, Named ...</td>\n",
       "      <td>2017-05-17 22:03:00.403</td>\n",
       "      <td>2017-05-17 22:01:08.000</td>\n",
       "      <td>71918</td>\n",
       "      <td>76.27</td>\n",
       "      <td>13759.00</td>\n",
       "      <td>54141.00</td>\n",
       "      <td>4018.00</td>\n",
       "      <td>New York Times</td>\n",
       "      <td>...</td>\n",
       "      <td>121.00</td>\n",
       "      <td>True</td>\n",
       "      <td>13931550.00</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ee25e1faebe21977e7e24f0ac56354e41e9f1246</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/portland-a...</td>\n",
       "      <td>2 Men Killed On Portland Train After Trying To...</td>\n",
       "      <td>2017-05-27 08:35:05.764</td>\n",
       "      <td>2017-05-27 08:27:31.000</td>\n",
       "      <td>42112</td>\n",
       "      <td>54.08</td>\n",
       "      <td>9485.00</td>\n",
       "      <td>28201.00</td>\n",
       "      <td>4426.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>26.00</td>\n",
       "      <td>True</td>\n",
       "      <td>9478319.00</td>\n",
       "      <td>215</td>\n",
       "      <td>48.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f8830bbc4e15dab7593e0751b9851c048c575257</th>\n",
       "      <td>https://www.nytimes.com/2017/05/16/us/politics...</td>\n",
       "      <td>Comey Memo Says Trump Asked Him to End Flynn I...</td>\n",
       "      <td>2017-05-16 21:24:00.845</td>\n",
       "      <td>2017-05-16 21:22:12.000</td>\n",
       "      <td>83951</td>\n",
       "      <td>49.67</td>\n",
       "      <td>30914.00</td>\n",
       "      <td>46208.00</td>\n",
       "      <td>6829.00</td>\n",
       "      <td>New York Times</td>\n",
       "      <td>...</td>\n",
       "      <td>121.00</td>\n",
       "      <td>True</td>\n",
       "      <td>13926019.00</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83fe5a6430080e734127806ddea0514ed9975292</th>\n",
       "      <td>http://www.cnn.com/2017/05/01/politics/trump-m...</td>\n",
       "      <td>Trump ending Michelle Obama's girls education ...</td>\n",
       "      <td>2017-05-01 17:15:20.675</td>\n",
       "      <td>2017-05-01 17:11:32.000</td>\n",
       "      <td>73117</td>\n",
       "      <td>76.36</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27376924.00</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>deb51f871b757906c47f036142fb61cf6fe10a58</th>\n",
       "      <td>http://www.cnn.com/2017/05/12/politics/michell...</td>\n",
       "      <td>Michelle Obama slams Trump on school meals</td>\n",
       "      <td>2017-05-12 22:25:18.698</td>\n",
       "      <td>2017-05-12 22:19:54.000</td>\n",
       "      <td>26300</td>\n",
       "      <td>46.17</td>\n",
       "      <td>4436.00</td>\n",
       "      <td>18902.00</td>\n",
       "      <td>2962.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27341319.00</td>\n",
       "      <td>105</td>\n",
       "      <td>44.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255</th>\n",
       "      <td>https://www.nytimes.com/2017/05/19/us/politics...</td>\n",
       "      <td>Trump Told Russians That Firing ‘Nut Job’ Come...</td>\n",
       "      <td>2017-05-19 18:57:03.616</td>\n",
       "      <td>2017-05-19 18:54:34.000</td>\n",
       "      <td>69396</td>\n",
       "      <td>54.49</td>\n",
       "      <td>18795.00</td>\n",
       "      <td>43237.00</td>\n",
       "      <td>7364.00</td>\n",
       "      <td>New York Times</td>\n",
       "      <td>...</td>\n",
       "      <td>121.00</td>\n",
       "      <td>True</td>\n",
       "      <td>13944205.00</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102ab96438ef79f8b34f6b10e2aa09098af012e4</th>\n",
       "      <td>http://www.cnn.com/2017/05/12/politics/donald-...</td>\n",
       "      <td>Trump threatens Comey in new tweet</td>\n",
       "      <td>2017-05-12 12:55:16.670</td>\n",
       "      <td>2017-05-12 12:47:08.000</td>\n",
       "      <td>23738</td>\n",
       "      <td>48.40</td>\n",
       "      <td>8114.00</td>\n",
       "      <td>12745.00</td>\n",
       "      <td>2879.00</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>62.00</td>\n",
       "      <td>True</td>\n",
       "      <td>27338171.00</td>\n",
       "      <td>105</td>\n",
       "      <td>44.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>88.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80449f003315234c3f6f30cdec4278321b4c1fc1</th>\n",
       "      <td>http://www.dailymail.co.uk/sport/cricket/artic...</td>\n",
       "      <td>Bairstow hasn't played into Champions Trophy t...</td>\n",
       "      <td>2017-05-08 17:05:26.615</td>\n",
       "      <td>2017-05-08 16:59:03.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.08</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>Daily Mail</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>98c815a3be205bf97a20740d6a1435f8974b5650</th>\n",
       "      <td>https://www.washingtonpost.com/sports/colleges...</td>\n",
       "      <td>Iowa State losing front court player Ray Kason...</td>\n",
       "      <td>2017-05-16 17:33:12.965</td>\n",
       "      <td>2017-05-16 17:30:31.000</td>\n",
       "      <td>0</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7c439ca28aa3385604265f55cb44ddcce0f8b814</th>\n",
       "      <td>http://www.dailymail.co.uk/sport/rugbyunion/ar...</td>\n",
       "      <td>Joe Launchbury and Jimmy Gopperth short-listed...</td>\n",
       "      <td>2017-05-16 17:33:25.592</td>\n",
       "      <td>2017-05-16 17:30:28.000</td>\n",
       "      <td>1</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>Daily Mail</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>acf1e0cf4830f40fe6ec36b8545c667d012a65d0</th>\n",
       "      <td>https://www.washingtonpost.com/entertainment/b...</td>\n",
       "      <td>Tait tackles millennial friendship in ‘Fake Pl...</td>\n",
       "      <td>2017-05-08 17:10:14.074</td>\n",
       "      <td>2017-05-08 17:02:15.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95703cf06c6e7297ff5b5b02467066c2cc57a53b</th>\n",
       "      <td>http://www.telegraph.co.uk/racing/2017/05/16/m...</td>\n",
       "      <td>Marlborough racing tips for Wednesday, May 17</td>\n",
       "      <td>2017-05-16 17:33:01.179</td>\n",
       "      <td>2017-05-16 17:30:00.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>The Telegraph</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>370</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f98961b8ad120aba0f960d9a5b312f716a941c95</th>\n",
       "      <td>https://www.washingtonpost.com/national/christ...</td>\n",
       "      <td>Christie signs bill inspired by ‘Snooki’ to ca...</td>\n",
       "      <td>2017-05-08 17:10:09.918</td>\n",
       "      <td>2017-05-08 17:06:13.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d0c0564a2aee55110d0a2ffcff033fd07801b8ba</th>\n",
       "      <td>https://www.washingtonpost.com/sports/wizards/...</td>\n",
       "      <td>Raptors PG Lowry will opt out of final year of...</td>\n",
       "      <td>2017-05-08 17:10:09.224</td>\n",
       "      <td>2017-05-08 17:06:18.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1433808a624391c2e49054b14162b0de6b1436d4</th>\n",
       "      <td>http://www.dailymail.co.uk/sport/othersports/a...</td>\n",
       "      <td>Tom Dumoulin takes Giro d'Italia lead after ti...</td>\n",
       "      <td>2017-05-16 17:30:31.801</td>\n",
       "      <td>2017-05-16 17:28:29.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>Daily Mail</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>b112785a000a557abf5fdaa99410d03753e0879c</th>\n",
       "      <td>https://www.washingtonpost.com/sports/saratoga...</td>\n",
       "      <td>Saratoga to rename major race for late trainer...</td>\n",
       "      <td>2017-05-16 17:33:13.191</td>\n",
       "      <td>2017-05-16 17:27:15.000</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f3e21b3975b23fced3a0044a153dc2e01a5dbd74</th>\n",
       "      <td>http://www.economist.com/news/21722600-wake-ma...</td>\n",
       "      <td>Babbage</td>\n",
       "      <td>2017-05-24 20:21:24.511</td>\n",
       "      <td>2017-05-24 13:52:59.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>The Economist</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>1825</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>417329307c5f0c208d027e026b8c0fdcea64c446</th>\n",
       "      <td>http://www.independent.co.uk/news/obituaries/g...</td>\n",
       "      <td>Glyn Tegai Hughes, obituary: esteemed literary...</td>\n",
       "      <td>2017-05-22 12:12:19.316</td>\n",
       "      <td>2017-05-22 09:53:35.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>The Independent</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>386</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>128531 rows × 23 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
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       "\n",
       "                                                                                   headline  \\\n",
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       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788  These Are The Victims Of The Manchester Terror...   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4  First on CNN: AG Sessions did not disclose mee...   \n",
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       "2f34e56453c871882bb30b655e234d8aba32dfdc           The Portland Heroes Who Stood Up To Hate   \n",
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       "09a3a8400c4395f2e18ba818b42912357e8e58ae  General election 2017: Corbyn links terror thr...   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9                     FBI director James Comey fired   \n",
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       "ddcf39b5f71753ab726057de7647b1922cb10d32  Manchester attacks: Stars to join Ariana Grand...   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81      Duke of Edinburgh to retire from royal duties   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f  Jeremy Corbyn to take part in seven-way TV debate   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1  The White Supremacist Accused Of The Portland ...   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2  Washington Post: Trump leaked classified info ...   \n",
       "332d434b07b350510549833225fe392117243c0c  Countdown is on to nail-biter Obamacare repeal...   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1  Trump Threatens Retaliation Against Comey, War...   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca  Conservative manifesto: Firms to pay more to h...   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9  Robert Mueller, Former F.B.I. Director, Named ...   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246  2 Men Killed On Portland Train After Trying To...   \n",
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       "deb51f871b757906c47f036142fb61cf6fe10a58         Michelle Obama slams Trump on school meals   \n",
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       "102ab96438ef79f8b34f6b10e2aa09098af012e4                 Trump threatens Comey in new tweet   \n",
       "...                                                                                     ...   \n",
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       "ca8dd321adbaa5a8348cde264ef99ba432af3f49                                         MD Lottery   \n",
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       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2 2017-05-27 21:48:12.860   \n",
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       "...                                                          ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1 2017-05-08 17:05:26.615   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650 2017-05-16 17:33:12.965   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814 2017-05-16 17:33:25.592   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0 2017-05-08 17:10:14.074   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b 2017-05-16 17:33:01.179   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95 2017-05-08 17:10:09.918   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba 2017-05-08 17:10:09.224   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4 2017-05-16 17:30:31.801   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c 2017-05-16 17:33:13.191   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981 2017-05-24 14:00:31.445   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c 2017-05-08 17:25:13.871   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0 2017-05-28 14:00:08.380   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d 2017-05-24 14:00:14.929   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589 2017-05-16 17:45:32.854   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833 2017-05-24 13:54:20.898   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827 2017-05-28 14:12:08.244   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd 2017-05-16 17:45:16.358   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403 2017-05-08 16:55:14.913   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d 2017-05-08 16:55:11.897   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b 2017-05-24 14:03:08.383   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49 2017-05-08 16:55:08.122   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851 2017-05-16 17:45:31.576   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62 2017-05-24 14:00:08.192   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6 2017-05-16 17:39:06.609   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d 2017-05-08 16:55:03.705   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7 2017-05-08 16:50:10.899   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091 2017-05-08 16:50:10.031   \n",
       "d976785cad88db062e345cb7a46b1602295b383b 2017-05-08 16:50:11.888   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74 2017-05-24 20:21:24.511   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446 2017-05-22 12:12:19.316   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2 2017-05-27 21:31:28.000   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5 2017-05-03 00:11:11.000   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181 2017-05-07 14:17:24.671   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c 2017-05-21 04:03:49.000   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92 2017-05-07 18:07:12.000   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156 2017-05-21 18:26:18.000   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788 2017-05-23 12:57:53.000   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4 2017-05-24 22:00:15.000   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f 2017-05-29 09:49:34.000   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc 2017-05-28 08:11:53.000   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539 2017-05-01 19:39:14.000   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8 2017-05-20 23:36:34.000   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae 2017-05-25 21:03:46.000   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9 2017-05-09 21:53:47.000   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343 2017-05-27 03:23:54.000   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32 2017-05-30 15:16:43.000   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81 2017-05-04 09:06:23.000   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f 2017-05-31 11:24:24.000   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1 2017-05-30 22:29:38.000   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2 2017-05-15 22:10:37.000   \n",
       "332d434b07b350510549833225fe392117243c0c 2017-05-04 10:00:18.000   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1 2017-05-12 13:03:08.000   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca 2017-05-17 21:14:28.000   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9 2017-05-17 22:01:08.000   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246 2017-05-27 08:27:31.000   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257 2017-05-16 21:22:12.000   \n",
       "83fe5a6430080e734127806ddea0514ed9975292 2017-05-01 17:11:32.000   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58 2017-05-12 22:19:54.000   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255 2017-05-19 18:54:34.000   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4 2017-05-12 12:47:08.000   \n",
       "...                                                          ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1 2017-05-08 16:59:03.000   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650 2017-05-16 17:30:31.000   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814 2017-05-16 17:30:28.000   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0 2017-05-08 17:02:15.000   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b 2017-05-16 17:30:00.000   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95 2017-05-08 17:06:13.000   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba 2017-05-08 17:06:18.000   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4 2017-05-16 17:28:29.000   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c 2017-05-16 17:27:15.000   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981 2017-05-24 13:58:13.000   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c 2017-05-08 16:53:46.000   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0 2017-05-28 13:50:44.000   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d 2017-05-24 13:50:13.000   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589 2017-05-16 17:34:17.000   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833 2017-05-24 13:50:26.000   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827 2017-05-28 14:02:16.000   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd 2017-05-16 17:39:27.000   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403 2017-05-08 16:43:11.000   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d 2017-05-08 16:43:18.000   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b 2017-05-24 13:51:16.000   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49 2017-05-08 16:43:25.000   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851 2017-05-16 17:39:20.000   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62 2017-05-24 13:52:13.000   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6 2017-05-16 17:36:51.000   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d 2017-05-08 16:45:13.000   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7 2017-05-08 16:46:18.000   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091 2017-05-08 16:46:25.000   \n",
       "d976785cad88db062e345cb7a46b1602295b383b 2017-05-08 16:46:32.000   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74 2017-05-24 13:52:59.000   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446 2017-05-22 09:53:35.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2           67262   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5           85276   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181           28022   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c           32996   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92           64768   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156           31643   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788           27291   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4           49692   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f           45987   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc           57925   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539           32070   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8           36361   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae           28189   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9           39822   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343           27952   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32           41965   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81           23879   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f           16409   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1           19853   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2           39566   \n",
       "332d434b07b350510549833225fe392117243c0c           27425   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1           63535   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca           15755   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9           71918   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246           42112   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257           83951   \n",
       "83fe5a6430080e734127806ddea0514ed9975292           73117   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58           26300   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255           69396   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4           23738   \n",
       "...                                                  ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1               1   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650               0   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814               1   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0               0   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b               1   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95               0   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba               0   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4               1   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c               0   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981               0   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c               0   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0               0   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d               0   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589               0   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833               0   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827               0   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd               0   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403               0   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d               0   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b               0   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49               0   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851               0   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62               0   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6               0   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d               0   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7               0   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091               0   \n",
       "d976785cad88db062e345cb7a46b1602295b383b               1   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74               0   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446               1   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2                       47.40   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5                      258.69   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181                       43.08   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c                       77.86   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92                       68.76   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156                       61.50   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788                       23.27   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4                       51.92   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f                       49.74   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc                       43.39   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539                       36.45   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8                       56.08   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae                       34.00   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9                       48.57   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343                       24.50   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32                       37.72   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81                       31.17   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f                       34.05   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1                       59.50   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2                       47.98   \n",
       "332d434b07b350510549833225fe392117243c0c                       39.17   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1                       62.00   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca                       14.98   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9                       76.27   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246                       54.08   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257                       49.67   \n",
       "83fe5a6430080e734127806ddea0514ed9975292                       76.36   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58                       46.17   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255                       54.49   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4                       48.40   \n",
       "...                                                              ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1                        0.08   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650                        0.00   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814                        0.08   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0                        0.00   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b                        0.00   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95                        0.00   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba                        0.00   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4                        0.08   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c                        0.00   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981                        0.00   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c                        0.00   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0                        0.00   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d                        0.00   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589                        0.00   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833                        0.00   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827                        0.00   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd                        0.00   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403                        0.00   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d                        0.00   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b                        0.00   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49                        0.00   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851                        0.00   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62                        0.00   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6                        0.00   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d                        0.00   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7                        0.00   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091                        0.00   \n",
       "d976785cad88db062e345cb7a46b1602295b383b                        0.08   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74                        0.00   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446                        0.00   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2      7535.00      52484.00   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5          nan           nan   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181          nan           nan   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c      2486.00      28269.00   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92          nan           nan   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156      2826.00      27299.00   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788      1368.00      21764.00   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4      9803.00      34058.00   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f      6860.00      35256.00   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc      2182.00      50049.00   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539          nan           nan   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8     13115.00      18114.00   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae     11358.00      14371.00   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9          nan           nan   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343      7626.00      16105.00   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32      3029.00      35012.00   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81          nan           nan   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f      4954.00       9252.00   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1      4263.00      13851.00   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2     19346.00      15974.00   \n",
       "332d434b07b350510549833225fe392117243c0c          nan           nan   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1     16657.00      39053.00   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca      6394.00       7365.00   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9     13759.00      54141.00   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246      9485.00      28201.00   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257     30914.00      46208.00   \n",
       "83fe5a6430080e734127806ddea0514ed9975292          nan           nan   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58      4436.00      18902.00   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255     18795.00      43237.00   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4      8114.00      12745.00   \n",
       "...                                               ...           ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1          nan           nan   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650         0.00          0.00   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814         0.00          0.00   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0          nan           nan   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b         0.00          0.00   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95          nan           nan   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba          nan           nan   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4         0.00          0.00   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c         0.00          0.00   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981         0.00          0.00   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c          nan           nan   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0         0.00          0.00   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d         0.00          0.00   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589         0.00          0.00   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833         0.00          0.00   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827         0.00          0.00   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd         0.00          0.00   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403          nan           nan   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d          nan           nan   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b         0.00          0.00   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49          nan           nan   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851         0.00          0.00   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62         0.00          0.00   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6         0.00          0.00   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d          nan           nan   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7          nan           nan   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091          nan           nan   \n",
       "d976785cad88db062e345cb7a46b1602295b383b          nan           nan   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74         0.00          0.00   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446         0.00          0.00   \n",
       "\n",
       "                                          fb_shares       publisher_name  \\\n",
       "id                                                                         \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2    7243.00        Buzzfeed News   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5        nan                  CNN   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181        nan                  BBC   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c    2241.00        Buzzfeed News   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92        nan                  BBC   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156    1518.00        Buzzfeed News   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788    4159.00        Buzzfeed News   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4    5831.00                  CNN   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f    3871.00                  BBC   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc    5694.00             HuffPost   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539        nan                  CNN   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8    5132.00                  CNN   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae    2460.00                  BBC   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9        nan                  CNN   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343    4221.00                  CNN   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32    3924.00                  BBC   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81        nan                  BBC   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f    2203.00                  BBC   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1    1739.00        Buzzfeed News   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2    4246.00                  CNN   \n",
       "332d434b07b350510549833225fe392117243c0c        nan                  CNN   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1    7825.00       New York Times   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca    1996.00                  BBC   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9    4018.00       New York Times   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246    4426.00             HuffPost   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257    6829.00       New York Times   \n",
       "83fe5a6430080e734127806ddea0514ed9975292        nan                  CNN   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58    2962.00                  CNN   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255    7364.00       New York Times   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4    2879.00                  CNN   \n",
       "...                                             ...                  ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1        nan           Daily Mail   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650       0.00  The Washington Post   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814       1.00           Daily Mail   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0        nan  The Washington Post   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b       1.00        The Telegraph   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95        nan  The Washington Post   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba        nan  The Washington Post   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4       1.00           Daily Mail   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c       0.00  The Washington Post   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981       0.00  The Washington Post   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c        nan  The Washington Post   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0       0.00  The Washington Post   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d       0.00  The Washington Post   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589       0.00  The Washington Post   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833       0.00           Daily Mail   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827       0.00  The Washington Post   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd       0.00  The Washington Post   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403        nan  The Washington Post   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d        nan  The Washington Post   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b       0.00  The Washington Post   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49        nan  The Washington Post   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851       0.00  The Washington Post   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62       0.00  The Washington Post   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6       0.00             NBC News   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d        nan        The Telegraph   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7        nan  The Washington Post   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091        nan  The Washington Post   \n",
       "d976785cad88db062e345cb7a46b1602295b383b        nan  The Washington Post   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74       0.00        The Economist   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446       1.00      The Independent   \n",
       "\n",
       "                                               ...         \\\n",
       "id                                             ...          \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2       ...          \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5       ...          \n",
       "fab8d9250617795d93b7383e0e1cf86352338181       ...          \n",
       "42294296116b94aff50a439a4fca04dd396aac0c       ...          \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92       ...          \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156       ...          \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788       ...          \n",
       "5d0e52fea29802318a75911f3371624df4595ae4       ...          \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f       ...          \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc       ...          \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539       ...          \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8       ...          \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae       ...          \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9       ...          \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343       ...          \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32       ...          \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81       ...          \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f       ...          \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1       ...          \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2       ...          \n",
       "332d434b07b350510549833225fe392117243c0c       ...          \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1       ...          \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca       ...          \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9       ...          \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246       ...          \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257       ...          \n",
       "83fe5a6430080e734127806ddea0514ed9975292       ...          \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58       ...          \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255       ...          \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4       ...          \n",
       "...                                            ...          \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1       ...          \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650       ...          \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814       ...          \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0       ...          \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b       ...          \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95       ...          \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba       ...          \n",
       "1433808a624391c2e49054b14162b0de6b1436d4       ...          \n",
       "b112785a000a557abf5fdaa99410d03753e0879c       ...          \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981       ...          \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c       ...          \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0       ...          \n",
       "7a943c1d63edd5013f4582981831527ba812d67d       ...          \n",
       "5ced929e6f8432fca0c19b484cde443533a37589       ...          \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833       ...          \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827       ...          \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd       ...          \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403       ...          \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d       ...          \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b       ...          \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49       ...          \n",
       "be716a25981bc5b2cb462aadd7221f9039670851       ...          \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62       ...          \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6       ...          \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d       ...          \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7       ...          \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091       ...          \n",
       "d976785cad88db062e345cb7a46b1602295b383b       ...          \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74       ...          \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446       ...          \n",
       "\n",
       "                                         num_articles_on_front  fb_brand_page  \\\n",
       "id                                                                              \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2                 25.00           True   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5                 62.00           True   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181                 47.00           True   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c                 25.00           True   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92                 47.00           True   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156                 25.00           True   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788                 25.00           True   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4                 62.00           True   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f                 47.00           True   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc                 26.00           True   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539                 62.00           True   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8                 62.00           True   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae                 47.00           True   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9                 62.00           True   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343                 62.00           True   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32                 47.00           True   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81                 47.00           True   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f                 45.00           True   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1                 25.00           True   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2                 62.00           True   \n",
       "332d434b07b350510549833225fe392117243c0c                 62.00           True   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1                121.00           True   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca                 47.00           True   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9                121.00           True   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246                 26.00           True   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257                121.00           True   \n",
       "83fe5a6430080e734127806ddea0514ed9975292                 62.00           True   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58                 62.00           True   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255                121.00           True   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4                 62.00           True   \n",
       "...                                                        ...            ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1                   nan          False   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650                   nan          False   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814                   nan          False   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0                   nan          False   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b                   nan          False   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95                   nan          False   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba                   nan          False   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4                   nan          False   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c                   nan          False   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981                   nan          False   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c                   nan          False   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0                   nan          False   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d                   nan          False   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589                   nan          False   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833                   nan          False   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827                   nan          False   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd                   nan          False   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403                   nan          False   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d                   nan          False   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b                   nan          False   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49                   nan          False   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851                   nan          False   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62                   nan          False   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6                   nan          False   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d                   nan          False   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7                   nan          False   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091                   nan          False   \n",
       "d976785cad88db062e345cb7a46b1602295b383b                   nan          False   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74                   nan          False   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446                   nan          False   \n",
       "\n",
       "                                          fb_brand_page_likes  alexa_rank  \\\n",
       "id                                                                          \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2           2522745.00         147   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5          27386540.00         105   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181          41287024.00          96   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c           2505771.00         147   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92          41277414.00          96   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156           2506360.00         147   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788           2511571.00         147   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4          27444874.00         105   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f          41787920.00          96   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc           9485928.00         215   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539          27377584.00         105   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8          27393308.00         105   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae          41702575.00          96   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9          27317096.00         105   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343          27475760.00         105   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32          41807079.00          96   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81          41300131.00          96   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f          41822932.00          96   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1           2525437.00         147   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2          27352796.00         105   \n",
       "332d434b07b350510549833225fe392117243c0c          27396532.00         105   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1          13902139.00         120   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca          41465378.00          96   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9          13931550.00         120   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246           9478319.00         215   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257          13926019.00         120   \n",
       "83fe5a6430080e734127806ddea0514ed9975292          27376924.00         105   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58          27341319.00         105   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255          13944205.00         120   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4          27338171.00         105   \n",
       "...                                                       ...         ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1                  nan         158   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650                  nan         191   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814                  nan         158   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0                  nan         191   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b                  nan         370   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95                  nan         191   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba                  nan         191   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4                  nan         158   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c                  nan         191   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981                  nan         191   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c                  nan         191   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0                  nan         191   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d                  nan         191   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589                  nan         191   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833                  nan         158   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827                  nan         191   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd                  nan         191   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403                  nan         191   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d                  nan         191   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b                  nan         191   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49                  nan         191   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851                  nan         191   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62                  nan         191   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6                  nan         826   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d                  nan         370   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7                  nan         191   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091                  nan         191   \n",
       "d976785cad88db062e345cb7a46b1602295b383b                  nan         191   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74                  nan        1825   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446                  nan         386   \n",
       "\n",
       "                                          response_score  lead_score  \\\n",
       "id                                                                     \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2           50.00       19.00   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5           50.00       20.00   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181           45.00       20.00   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c           46.00       19.00   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92           50.00       20.00   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156           46.00       19.00   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788           45.00       19.00   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4           49.00       20.00   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f           48.00       20.00   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc           50.00       17.00   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539           46.00       20.00   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8           47.00       20.00   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae           45.00       20.00   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9           47.00       20.00   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343           45.00       20.00   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32           48.00       20.00   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81           44.00       20.00   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f           41.00       20.00   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1           43.00       19.00   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2           47.00       20.00   \n",
       "332d434b07b350510549833225fe392117243c0c           45.00       20.00   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1           50.00       20.00   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca           41.00       20.00   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9           50.00       20.00   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246           48.00       17.00   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257           50.00       20.00   \n",
       "83fe5a6430080e734127806ddea0514ed9975292           50.00       20.00   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58           44.00       20.00   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255           50.00       20.00   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4           44.00       20.00   \n",
       "...                                                  ...         ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1            0.00        0.00   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650            0.00        0.00   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814            0.00        0.00   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0            0.00        0.00   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b            0.00        0.00   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95            0.00        0.00   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba            0.00        0.00   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4            0.00        0.00   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c            0.00        0.00   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981            0.00        0.00   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c            0.00        0.00   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0            0.00        0.00   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d            0.00        0.00   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589            0.00        0.00   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833            0.00        0.00   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827            0.00        0.00   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd            0.00        0.00   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403            0.00        0.00   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d            0.00        0.00   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b            0.00        0.00   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49            0.00        0.00   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851            0.00        0.00   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62            0.00        0.00   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6            0.00        0.00   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d            0.00        0.00   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7            0.00        0.00   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091            0.00        0.00   \n",
       "d976785cad88db062e345cb7a46b1602295b383b            0.00        0.00   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74            0.00        0.00   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446            0.00        0.00   \n",
       "\n",
       "                                          front_score  \\\n",
       "id                                                      \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2        15.00   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5         9.00   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181        12.00   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c        15.00   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92         7.00   \n",
       "8cb28169a5402b65b3cd89f1a0b0ce3f4ee70156        15.00   \n",
       "7f10cd0e6c28956ab1fdc0ca572b45fcfeaa8788        15.00   \n",
       "5d0e52fea29802318a75911f3371624df4595ae4         7.00   \n",
       "b09f91cf0b955b39e0e58b4ce530cd0942e4a92f         7.00   \n",
       "2f34e56453c871882bb30b655e234d8aba32dfdc        10.00   \n",
       "4accbfb7fefcf1eb39df7fac49bd18bc4527f539         9.00   \n",
       "afeaaba2df87ace5da55c7e5aad38d7aca9546f8         8.00   \n",
       "09a3a8400c4395f2e18ba818b42912357e8e58ae        10.00   \n",
       "7638bc116fc4499d08b4070e417ad266fb3e23e9         7.00   \n",
       "c8c4364097e3139baf5b82eda04df00d350e8343         9.00   \n",
       "ddcf39b5f71753ab726057de7647b1922cb10d32         6.00   \n",
       "8d86ba1ca7e4dda9f0c9f4eafbf7108c6a332c81        10.00   \n",
       "f52875ade537d88acc4d0070faa6f66107b28f6f        13.00   \n",
       "2b382725ca5dc2e921e92f060dbb8920b9dc1fb1        15.00   \n",
       "2c19bf826aa073d0675b97f04b199cdf8de521f2         7.00   \n",
       "332d434b07b350510549833225fe392117243c0c         9.00   \n",
       "15ca9ed39bb09eba36bf9b04989d120fdf2bf5c1         4.00   \n",
       "a6512f6b09240bd0ad24afe567bc301979abceca        12.00   \n",
       "e96d445a030fc2b1cbb0b318c131d96430a1c8e9         4.00   \n",
       "ee25e1faebe21977e7e24f0ac56354e41e9f1246        10.00   \n",
       "f8830bbc4e15dab7593e0751b9851c048c575257         4.00   \n",
       "83fe5a6430080e734127806ddea0514ed9975292         3.00   \n",
       "deb51f871b757906c47f036142fb61cf6fe10a58         9.00   \n",
       "7cb9f49a9bd8be5a0c54a8fac7c5c829eaaa3255         4.00   \n",
       "102ab96438ef79f8b34f6b10e2aa09098af012e4         9.00   \n",
       "...                                               ...   \n",
       "80449f003315234c3f6f30cdec4278321b4c1fc1         0.00   \n",
       "98c815a3be205bf97a20740d6a1435f8974b5650         0.00   \n",
       "7c439ca28aa3385604265f55cb44ddcce0f8b814         0.00   \n",
       "acf1e0cf4830f40fe6ec36b8545c667d012a65d0         0.00   \n",
       "95703cf06c6e7297ff5b5b02467066c2cc57a53b         0.00   \n",
       "f98961b8ad120aba0f960d9a5b312f716a941c95         0.00   \n",
       "d0c0564a2aee55110d0a2ffcff033fd07801b8ba         0.00   \n",
       "1433808a624391c2e49054b14162b0de6b1436d4         0.00   \n",
       "b112785a000a557abf5fdaa99410d03753e0879c         0.00   \n",
       "61ff94a3f768868adc7aa624bb04bbe15a540981         0.00   \n",
       "09d731b52e6fb05732e8c519eef830a01363a29c         0.00   \n",
       "112e8c790964fdb1bc39f4f2b92b203c1e67b2a0         0.00   \n",
       "7a943c1d63edd5013f4582981831527ba812d67d         0.00   \n",
       "5ced929e6f8432fca0c19b484cde443533a37589         0.00   \n",
       "d6f997fab8de17bf6875e53d2151da58aaa8a833         0.00   \n",
       "cb74124b7a7bb495948313cf30cd25666cec8827         0.00   \n",
       "92641649fb260f8c72db0078f7d284f9a93110bd         0.00   \n",
       "01270e09e56dae2f9d089f2d231f1672907d2403         0.00   \n",
       "112d5df1c5e46348b7ae146dabdb237270a7135d         0.00   \n",
       "9ab54f9d81d8cfe6c9df4880b95ff895a500f56b         0.00   \n",
       "ca8dd321adbaa5a8348cde264ef99ba432af3f49         0.00   \n",
       "be716a25981bc5b2cb462aadd7221f9039670851         0.00   \n",
       "2cccfa0a1fd9def6c2a3131aae3a395b40a0ed62         0.00   \n",
       "eaad80cc454df50c3226604e74cbd510d796a8f6         0.00   \n",
       "8b42a5d98a340d82b0893fa0213e211bcb0bb63d         0.00   \n",
       "d170b61ae117b326f993447d6a2278d84bf895c7         0.00   \n",
       "fb86e77e8927140141f607b1f2eaa8e35e1f4091         0.00   \n",
       "d976785cad88db062e345cb7a46b1602295b383b         0.00   \n",
       "f3e21b3975b23fced3a0044a153dc2e01a5dbd74         0.00   \n",
       "417329307c5f0c208d027e026b8c0fdcea64c446         0.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "2b068c2fa3bdb2732465fe524b599b97ba981fa2                     12.00   \n",
       "14b0e444e8db057a9aa6df60b8172cf700f280c5                     15.00   \n",
       "fab8d9250617795d93b7383e0e1cf86352338181                     15.00   \n",
       "42294296116b94aff50a439a4fca04dd396aac0c                     12.00   \n",
       "f1ba80ccf9b7979418c5326503bc897b98eafd92                     15.00   \n",
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       "\n",
       "                                          promotion_score  attention_index  \n",
       "id                                                                          \n",
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       "...                                                   ...              ...  \n",
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       "\n",
       "[128531 rows x 23 columns]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# and lets see the articles with the biggest attention index\n",
    "data.sort_values(\"attention_index\", ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"score_diff\"] = data.promotion_score - data.response_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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       "      <td>36.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>36.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d8e02170a5b45a4438d1eb145395cc016eb3899b</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/portland-a...</td>\n",
       "      <td>One Official Tried To Warn Us About Attacks Li...</td>\n",
       "      <td>2017-05-31 19:21:15.995</td>\n",
       "      <td>2017-05-30 07:41:50</td>\n",
       "      <td>2</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>9494109.00</td>\n",
       "      <td>215</td>\n",
       "      <td>1.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>35.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fe77503974cdd9ed96e6269a1c663703f9c1836d</th>\n",
       "      <td>https://www.buzzfeed.com/dougbockclark/america...</td>\n",
       "      <td>Why Is The US Trying To Remake The World’s Pri...</td>\n",
       "      <td>2017-05-28 15:03:13.191</td>\n",
       "      <td>2017-05-18 11:39:30</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>34.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23856d48f503288938e10d5705d94e06399b2232</th>\n",
       "      <td>https://www.buzzfeed.com/alisonwillmore/the-ne...</td>\n",
       "      <td>The New Fall Shows Are Opting For Comfort Over...</td>\n",
       "      <td>2017-05-21 17:10:15.705</td>\n",
       "      <td>2017-05-19 22:37:04</td>\n",
       "      <td>1</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>34.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55519241e5fcfb028a7378cda01fe05471e12497</th>\n",
       "      <td>https://www.buzzfeed.com/priya/a-federal-judge...</td>\n",
       "      <td>A Federal Judge Ordered Uber To Return Documen...</td>\n",
       "      <td>2017-05-15 15:04:24.715</td>\n",
       "      <td>2017-05-15 14:52:24</td>\n",
       "      <td>29</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>21.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>38.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d64c64f6678104353fffca22cbcc35d443008cd6</th>\n",
       "      <td>http://www.bbc.co.uk/news/live/election-2017-4...</td>\n",
       "      <td>General election: Latest updates</td>\n",
       "      <td>2017-05-30 09:10:15.842</td>\n",
       "      <td>2017-05-30 09:09:45</td>\n",
       "      <td>421</td>\n",
       "      <td>0.77</td>\n",
       "      <td>146.00</td>\n",
       "      <td>115.00</td>\n",
       "      <td>160.00</td>\n",
       "      <td>BBC</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>41829626.00</td>\n",
       "      <td>96</td>\n",
       "      <td>17.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>06ca61dd2f4e36da6778a41713a1bea8a2b80489</th>\n",
       "      <td>https://www.buzzfeed.com/emmaloop/some-senator...</td>\n",
       "      <td>Some Senators Worry Special Counsel Will Hurt ...</td>\n",
       "      <td>2017-05-18 23:35:07.335</td>\n",
       "      <td>2017-05-18 23:26:28</td>\n",
       "      <td>24</td>\n",
       "      <td>0.17</td>\n",
       "      <td>3.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d5d04b8bf3bba2309df65df92e328095aeb41dcd</th>\n",
       "      <td>https://www.buzzfeed.com/hannahalothman/these-...</td>\n",
       "      <td>These Pictures Show Salman Abedi On The Night ...</td>\n",
       "      <td>2017-05-27 20:48:17.614</td>\n",
       "      <td>2017-05-27 19:48:33</td>\n",
       "      <td>489</td>\n",
       "      <td>2.34</td>\n",
       "      <td>146.00</td>\n",
       "      <td>308.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2522625.00</td>\n",
       "      <td>147</td>\n",
       "      <td>18.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1</th>\n",
       "      <td>https://www.buzzfeed.com/johnhudson/turkeys-fo...</td>\n",
       "      <td>Turkey’s Foreign Minister Accuses European Int...</td>\n",
       "      <td>2017-05-27 14:54:12.773</td>\n",
       "      <td>2017-05-27 14:41:30</td>\n",
       "      <td>52</td>\n",
       "      <td>0.29</td>\n",
       "      <td>2.00</td>\n",
       "      <td>24.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>6.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cdc9da260c2f69ac44612222743507f59fc1ea85</th>\n",
       "      <td>https://www.buzzfeed.com/aishagani/these-are-t...</td>\n",
       "      <td>These Are The Children Left Behind In Calais</td>\n",
       "      <td>2017-05-29 08:12:11.176</td>\n",
       "      <td>2017-05-25 14:23:45</td>\n",
       "      <td>6</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>1.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ad95623506020d40832341a492a716c089041357</th>\n",
       "      <td>https://www.buzzfeed.com/buzzfeednews/live-upd...</td>\n",
       "      <td>Live Updates: President Trump Delivers Remarks...</td>\n",
       "      <td>2017-05-29 15:30:21.840</td>\n",
       "      <td>2017-05-29 15:28:35</td>\n",
       "      <td>47</td>\n",
       "      <td>0.17</td>\n",
       "      <td>21.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>23.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>6.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46dca9508b04bf096559dae6de4c380aa43b5a1a</th>\n",
       "      <td>https://www.buzzfeed.com/borzoudaragahi/the-fa...</td>\n",
       "      <td>The Father Of The Manchester Suicide Bomber Pr...</td>\n",
       "      <td>2017-05-25 17:39:11.882</td>\n",
       "      <td>2017-05-25 16:38:13</td>\n",
       "      <td>444</td>\n",
       "      <td>1.11</td>\n",
       "      <td>73.00</td>\n",
       "      <td>314.00</td>\n",
       "      <td>57.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2517728.00</td>\n",
       "      <td>147</td>\n",
       "      <td>18.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>64.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a68cb2203f5f4adc936598ff48f48e88f90df114</th>\n",
       "      <td>https://www.buzzfeed.com/gracewyler/north-kore...</td>\n",
       "      <td>North Korea Reportedly Launched Another Projec...</td>\n",
       "      <td>2017-05-13 23:15:15.684</td>\n",
       "      <td>2017-05-13 23:05:54</td>\n",
       "      <td>44</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>26.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>6.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15</th>\n",
       "      <td>https://www.buzzfeed.com/hannahallam/what-happ...</td>\n",
       "      <td>No, The Trump Administration's Attacks On Musl...</td>\n",
       "      <td>2017-05-17 18:57:16.139</td>\n",
       "      <td>2017-05-17 18:55:43</td>\n",
       "      <td>26</td>\n",
       "      <td>0.08</td>\n",
       "      <td>1.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>32.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>28.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17a00d45c745161632b8bc4e925a98946ee4495b</th>\n",
       "      <td>https://www.buzzfeed.com/adolfoflores/undocume...</td>\n",
       "      <td>The Underground Network To Ferry Undocumented ...</td>\n",
       "      <td>2017-05-20 15:33:18.644</td>\n",
       "      <td>2017-05-19 19:44:49</td>\n",
       "      <td>66</td>\n",
       "      <td>0.44</td>\n",
       "      <td>1.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>7.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a6f209e9944ba0d610b6434c94698fcbc6efc4c3</th>\n",
       "      <td>https://www.buzzfeed.com/albertonardelli/g7-be...</td>\n",
       "      <td>Here's What's Going On Behind The Scenes Durin...</td>\n",
       "      <td>2017-05-26 20:12:22.410</td>\n",
       "      <td>2017-05-26 20:10:27</td>\n",
       "      <td>27</td>\n",
       "      <td>0.16</td>\n",
       "      <td>1.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>22.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>31.00</td>\n",
       "      <td>35.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05</th>\n",
       "      <td>http://www.npr.org/2017/05/31/530929894/jury-s...</td>\n",
       "      <td>Jury Selection Begins In South Dakota 'Pink Sl...</td>\n",
       "      <td>2017-05-31 21:00:33.572</td>\n",
       "      <td>2017-05-31 20:00:00</td>\n",
       "      <td>14</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>NPR</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>6008762.00</td>\n",
       "      <td>594</td>\n",
       "      <td>3.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9ca581ae49a1d1c9378930a5692e5b277b39345a</th>\n",
       "      <td>https://www.buzzfeed.com/danvergano/how-lidar-...</td>\n",
       "      <td>Everything You Need To Know About The Technolo...</td>\n",
       "      <td>2017-05-15 18:12:03.981</td>\n",
       "      <td>2017-05-12 21:14:37</td>\n",
       "      <td>63</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>7.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4ade00f8a8b024605911ff619d371603c1acad6f</th>\n",
       "      <td>https://www.buzzfeed.com/zoetillman/federal-ap...</td>\n",
       "      <td>Federal Appeals Court Upholds The Nationwide I...</td>\n",
       "      <td>2017-05-25 18:09:19.095</td>\n",
       "      <td>2017-05-25 18:09:05</td>\n",
       "      <td>518</td>\n",
       "      <td>4.01</td>\n",
       "      <td>57.00</td>\n",
       "      <td>342.00</td>\n",
       "      <td>119.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2518012.00</td>\n",
       "      <td>147</td>\n",
       "      <td>19.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>65.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35084b054f4015c12db62c965f792f634b09ceac</th>\n",
       "      <td>http://www.nbcnews.com/storyline/trumps-first-...</td>\n",
       "      <td>On Saudi Trip, Trump Tasked With Mending Relat...</td>\n",
       "      <td>2017-05-19 19:27:06.021</td>\n",
       "      <td>2017-05-19 18:19:00</td>\n",
       "      <td>3</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>NBC News</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>8922889.00</td>\n",
       "      <td>826</td>\n",
       "      <td>1.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>28.00</td>\n",
       "      <td>29.00</td>\n",
       "      <td>27.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
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       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256                 The Public Square Belongs to 4Chan   \n",
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       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2  Leaked Internal Documents Show UberPool Was A ...   \n",
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       "d8e02170a5b45a4438d1eb145395cc016eb3899b  One Official Tried To Warn Us About Attacks Li...   \n",
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       "55519241e5fcfb028a7378cda01fe05471e12497  A Federal Judge Ordered Uber To Return Documen...   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6                   General election: Latest updates   \n",
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       "cdc9da260c2f69ac44612222743507f59fc1ea85       These Are The Children Left Behind In Calais   \n",
       "ad95623506020d40832341a492a716c089041357  Live Updates: President Trump Delivers Remarks...   \n",
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       "a68cb2203f5f4adc936598ff48f48e88f90df114  North Korea Reportedly Launched Another Projec...   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15  No, The Trump Administration's Attacks On Musl...   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b  The Underground Network To Ferry Undocumented ...   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3  Here's What's Going On Behind The Scenes Durin...   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05  Jury Selection Begins In South Dakota 'Pink Sl...   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a  Everything You Need To Know About The Technolo...   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f  Federal Appeals Court Upholds The Nationwide I...   \n",
       "35084b054f4015c12db62c965f792f634b09ceac  On Saudi Trip, Trump Tasked With Mending Relat...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256 2017-05-18 19:45:20.292   \n",
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       "                                                   published  fb_engagements  \\\n",
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       "d8e02170a5b45a4438d1eb145395cc016eb3899b     ...              True   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d     ...             False   \n",
       "23856d48f503288938e10d5705d94e06399b2232     ...             False   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497     ...             False   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6     ...              True   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489     ...             False   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd     ...              True   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1     ...             False   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85     ...             False   \n",
       "ad95623506020d40832341a492a716c089041357     ...             False   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a     ...              True   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114     ...             False   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15     ...             False   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b     ...             False   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3     ...             False   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05     ...              True   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a     ...             False   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f     ...              True   \n",
       "35084b054f4015c12db62c965f792f634b09ceac     ...              True   \n",
       "\n",
       "                                          fb_brand_page_likes  alexa_rank  \\\n",
       "id                                                                          \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256           2498318.00         147   \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700           2522329.00         147   \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355           2521837.00         147   \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8           2523526.00         147   \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2           2526007.00         147   \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004           9456258.00         215   \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b           9494109.00         215   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d                  nan         147   \n",
       "23856d48f503288938e10d5705d94e06399b2232                  nan         147   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497                  nan         147   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6          41829626.00          96   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489                  nan         147   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd           2522625.00         147   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1                  nan         147   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85                  nan         147   \n",
       "ad95623506020d40832341a492a716c089041357                  nan         147   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a           2517728.00         147   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114                  nan         147   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15                  nan         147   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b                  nan         147   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3                  nan         147   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05           6008762.00         594   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a                  nan         147   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f           2518012.00         147   \n",
       "35084b054f4015c12db62c965f792f634b09ceac           8922889.00         826   \n",
       "\n",
       "                                          response_score  lead_score  \\\n",
       "id                                                                     \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256            0.00       19.00   \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700            0.00       19.00   \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355            5.00       19.00   \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8            6.00       19.00   \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2            1.00       19.00   \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004            0.00       17.00   \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b            1.00       17.00   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d            0.00       19.00   \n",
       "23856d48f503288938e10d5705d94e06399b2232            0.00       19.00   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497            4.00       19.00   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6           17.00       20.00   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489            4.00       19.00   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd           18.00       19.00   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1            6.00       19.00   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85            1.00       19.00   \n",
       "ad95623506020d40832341a492a716c089041357            6.00       19.00   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a           18.00       19.00   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114            6.00       19.00   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15            4.00       19.00   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b            7.00       19.00   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3            4.00       19.00   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05            3.00       15.00   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a            7.00       19.00   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f           19.00       19.00   \n",
       "35084b054f4015c12db62c965f792f634b09ceac            1.00       14.00   \n",
       "\n",
       "                                          front_score  \\\n",
       "id                                                      \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256        15.00   \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700        15.00   \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355        15.00   \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8        15.00   \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2         7.00   \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004         6.00   \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b         6.00   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d        15.00   \n",
       "23856d48f503288938e10d5705d94e06399b2232        15.00   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497        15.00   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6        12.00   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489        13.00   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd        15.00   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1        15.00   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85        10.00   \n",
       "ad95623506020d40832341a492a716c089041357        15.00   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a        15.00   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114        15.00   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15        13.00   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b        15.00   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3        12.00   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05         2.00   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a        15.00   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f        15.00   \n",
       "35084b054f4015c12db62c965f792f634b09ceac         1.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256                     12.00   \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700                     12.00   \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355                     12.00   \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8                     12.00   \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2                     12.00   \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004                     13.00   \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b                     13.00   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d                      0.00   \n",
       "23856d48f503288938e10d5705d94e06399b2232                      0.00   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497                      0.00   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6                     15.00   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489                      0.00   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd                     12.00   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1                      0.00   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85                      0.00   \n",
       "ad95623506020d40832341a492a716c089041357                      0.00   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a                     12.00   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114                      0.00   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15                      0.00   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b                      0.00   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3                      0.00   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05                     13.00   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a                      0.00   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f                     12.00   \n",
       "35084b054f4015c12db62c965f792f634b09ceac                     13.00   \n",
       "\n",
       "                                          promotion_score  attention_index  \\\n",
       "id                                                                           \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256            46.00            46.00   \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700            46.00            46.00   \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355            46.00            51.00   \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8            46.00            52.00   \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2            38.00            39.00   \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004            36.00            36.00   \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b            36.00            37.00   \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d            34.00            34.00   \n",
       "23856d48f503288938e10d5705d94e06399b2232            34.00            34.00   \n",
       "55519241e5fcfb028a7378cda01fe05471e12497            34.00            38.00   \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6            47.00            64.00   \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489            32.00            36.00   \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd            46.00            64.00   \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1            34.00            40.00   \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85            29.00            30.00   \n",
       "ad95623506020d40832341a492a716c089041357            34.00            40.00   \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a            46.00            64.00   \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114            34.00            40.00   \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15            32.00            36.00   \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b            34.00            41.00   \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3            31.00            35.00   \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05            30.00            33.00   \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a            34.00            41.00   \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f            46.00            65.00   \n",
       "35084b054f4015c12db62c965f792f634b09ceac            28.00            29.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "276f94591dbcc1637e7b17ef8c1f756f55875256       46.00  \n",
       "2e86caccaa0f4d2487fbfe7e66c7d9a1bd7d9700       46.00  \n",
       "b719c5a9926a584c03998c5cb3b966189d9f2355       41.00  \n",
       "86e29ec1cdb2bfbaca4c7d5c7dced916b514bba8       40.00  \n",
       "08c2282049e8764a1cd56b1d7b548fa4bf4989c2       37.00  \n",
       "2386c9b079c7fe36ce6d834c70740d4944b87004       36.00  \n",
       "d8e02170a5b45a4438d1eb145395cc016eb3899b       35.00  \n",
       "fe77503974cdd9ed96e6269a1c663703f9c1836d       34.00  \n",
       "23856d48f503288938e10d5705d94e06399b2232       34.00  \n",
       "55519241e5fcfb028a7378cda01fe05471e12497       30.00  \n",
       "d64c64f6678104353fffca22cbcc35d443008cd6       30.00  \n",
       "06ca61dd2f4e36da6778a41713a1bea8a2b80489       28.00  \n",
       "d5d04b8bf3bba2309df65df92e328095aeb41dcd       28.00  \n",
       "eec485815c62fe8f7d9f92cfc1a9e3b4505f9da1       28.00  \n",
       "cdc9da260c2f69ac44612222743507f59fc1ea85       28.00  \n",
       "ad95623506020d40832341a492a716c089041357       28.00  \n",
       "46dca9508b04bf096559dae6de4c380aa43b5a1a       28.00  \n",
       "a68cb2203f5f4adc936598ff48f48e88f90df114       28.00  \n",
       "a753c5ecbc0ba12d832bd9a6f2c835c2ed48ba15       28.00  \n",
       "17a00d45c745161632b8bc4e925a98946ee4495b       27.00  \n",
       "a6f209e9944ba0d610b6434c94698fcbc6efc4c3       27.00  \n",
       "7a54ed2dd7aaa6b1570f8f4921d3ee48f5c94d05       27.00  \n",
       "9ca581ae49a1d1c9378930a5692e5b277b39345a       27.00  \n",
       "4ade00f8a8b024605911ff619d371603c1acad6f       27.00  \n",
       "35084b054f4015c12db62c965f792f634b09ceac       27.00  \n",
       "\n",
       "[25 rows x 24 columns]"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# promoted but low response\n",
    "data.sort_values(\"score_diff\", ascending=False).head(25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th>headline</th>\n",
       "      <th>discovered</th>\n",
       "      <th>published</th>\n",
       "      <th>fb_engagements</th>\n",
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       "      <th>...</th>\n",
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       "      <th>facebook_promotion_score</th>\n",
       "      <th>promotion_score</th>\n",
       "      <th>attention_index</th>\n",
       "      <th>score_diff</th>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "  <tbody>\n",
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       "      <th>bc6d2a659ec806138ffbff7973f3849c2d5170fd</th>\n",
       "      <td>http://yournewswire.com/world-gets-behind-puti...</td>\n",
       "      <td>World Gets Behind Putin's Vow To Destroy New W...</td>\n",
       "      <td>2017-05-17 10:51:54.096</td>\n",
       "      <td>2017-05-06 22:00:12.000</td>\n",
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       "      <td>114380.00</td>\n",
       "      <td>27908.00</td>\n",
       "      <td>Your News Wire</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15</th>\n",
       "      <td>https://www.washingtonpost.com/news/parenting/...</td>\n",
       "      <td>The important role of aunts and uncles in chil...</td>\n",
       "      <td>2017-05-26 10:06:13.945</td>\n",
       "      <td>2017-05-26 10:00:00.000</td>\n",
       "      <td>84117</td>\n",
       "      <td>83.45</td>\n",
       "      <td>8077.00</td>\n",
       "      <td>62427.00</td>\n",
       "      <td>13613.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6f582dfe1ce09b7896bc16ff135c62d61eb46c44</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/chris-corn...</td>\n",
       "      <td>Chris Cornell: When Suicide Doesn't Make Sense</td>\n",
       "      <td>2017-05-19 13:30:19.144</td>\n",
       "      <td>2017-05-18 14:47:50.000</td>\n",
       "      <td>73548</td>\n",
       "      <td>58.41</td>\n",
       "      <td>11786.00</td>\n",
       "      <td>50465.00</td>\n",
       "      <td>11297.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>215</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5</th>\n",
       "      <td>https://www.nytimes.com/2017/05/19/business/li...</td>\n",
       "      <td>Lisa Su on the Art of Setting Ambitious Goals</td>\n",
       "      <td>2017-05-19 11:03:27.185</td>\n",
       "      <td>2017-05-19 11:00:01.000</td>\n",
       "      <td>149799</td>\n",
       "      <td>72.18</td>\n",
       "      <td>65.00</td>\n",
       "      <td>149665.00</td>\n",
       "      <td>69.00</td>\n",
       "      <td>New York Times</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3fb57d744f1b05e05f6745bd5244130eeb77aa69</th>\n",
       "      <td>http://www.independent.co.uk/jeff-sessions-wom...</td>\n",
       "      <td>Woman found guilty and faces year in jail for ...</td>\n",
       "      <td>2017-05-03 17:50:18.534</td>\n",
       "      <td>2017-05-03 17:48:28.000</td>\n",
       "      <td>60406</td>\n",
       "      <td>88.37</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Independent</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>386</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>971f61642849a7db6f16046b241cc16819f87a33</th>\n",
       "      <td>http://www.cnn.com/2013/05/28/travel/100-best-...</td>\n",
       "      <td>World's 100 best beaches</td>\n",
       "      <td>2017-05-11 11:15:18.220</td>\n",
       "      <td>2017-05-11 11:06:29.000</td>\n",
       "      <td>82513</td>\n",
       "      <td>0.00</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>CNN</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>238e488a22925512652eef984fb16fd547ac9512</th>\n",
       "      <td>https://www.washingtonpost.com/local/obituarie...</td>\n",
       "      <td>Representative: Rocker Chris Cornell has died ...</td>\n",
       "      <td>2017-05-18 07:45:22.278</td>\n",
       "      <td>2017-05-18 07:36:12.000</td>\n",
       "      <td>57145</td>\n",
       "      <td>267.37</td>\n",
       "      <td>11497.00</td>\n",
       "      <td>40224.00</td>\n",
       "      <td>5424.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c55509930e92f71ee534edf7d570b70ed81a2267</th>\n",
       "      <td>https://www.indy100.com/article/divorced-fathe...</td>\n",
       "      <td>This dad's brilliant post about his ex-wife is...</td>\n",
       "      <td>2017-05-15 11:09:18.339</td>\n",
       "      <td>2017-05-14 08:36:41.000</td>\n",
       "      <td>1114468</td>\n",
       "      <td>8.34</td>\n",
       "      <td>58501.00</td>\n",
       "      <td>914126.00</td>\n",
       "      <td>141841.00</td>\n",
       "      <td>indy100</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>5014</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d864ee5c2c85f8cb99380b309268422f81d48165</th>\n",
       "      <td>https://www.indy100.com/article/luxembourg-gay...</td>\n",
       "      <td>Luxembourg's openly gay 'first husband' joined...</td>\n",
       "      <td>2017-05-26 12:05:12.044</td>\n",
       "      <td>2017-05-26 11:57:01.000</td>\n",
       "      <td>156503</td>\n",
       "      <td>108.48</td>\n",
       "      <td>5846.00</td>\n",
       "      <td>141474.00</td>\n",
       "      <td>9183.00</td>\n",
       "      <td>indy100</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>5014</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5811a42e5a65ce6dca6b1b85fb72b585914d495e</th>\n",
       "      <td>http://www.independent.co.uk/news/world/americ...</td>\n",
       "      <td>US citizens with cancer could pay up to $140,0...</td>\n",
       "      <td>2017-05-04 11:08:25.992</td>\n",
       "      <td>2017-05-04 10:18:47.000</td>\n",
       "      <td>75268</td>\n",
       "      <td>108.33</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Independent</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>386</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7258bf39dbb64771f0a084202fb7aa15138274f3</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/black-farm...</td>\n",
       "      <td>Black Farmer Calls Out Liberal Racism In Power...</td>\n",
       "      <td>2017-05-24 19:21:13.921</td>\n",
       "      <td>2017-05-24 07:00:55.000</td>\n",
       "      <td>52881</td>\n",
       "      <td>18.61</td>\n",
       "      <td>5498.00</td>\n",
       "      <td>38879.00</td>\n",
       "      <td>8504.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>215</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7e4d3e7c555faa571afb985b7283f0a707d0662b</th>\n",
       "      <td>https://www.washingtonpost.com/national/repres...</td>\n",
       "      <td>Representative: Rocker Chris Cornell has died ...</td>\n",
       "      <td>2017-05-18 07:39:09.658</td>\n",
       "      <td>2017-05-18 07:28:13.000</td>\n",
       "      <td>49937</td>\n",
       "      <td>62.50</td>\n",
       "      <td>9600.00</td>\n",
       "      <td>35506.00</td>\n",
       "      <td>4831.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6a9c8aa43c71cb24777862596739902fb4b06ff8</th>\n",
       "      <td>https://www.indy100.com/article/luxembourg-gay...</td>\n",
       "      <td>Luxembourg's openly gay 'first husband' joined...</td>\n",
       "      <td>2017-05-26 09:35:12.615</td>\n",
       "      <td>2017-05-26 09:30:24.000</td>\n",
       "      <td>131750</td>\n",
       "      <td>145.08</td>\n",
       "      <td>4788.00</td>\n",
       "      <td>120893.00</td>\n",
       "      <td>6069.00</td>\n",
       "      <td>indy100</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>5014</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6c1158c4d5575103f2d3ea9666ea9fd8a94576c8</th>\n",
       "      <td>https://www.indy100.com/article/white-privileg...</td>\n",
       "      <td>This student's message about white privilege i...</td>\n",
       "      <td>2017-05-15 11:09:03.877</td>\n",
       "      <td>2017-05-13 15:05:34.000</td>\n",
       "      <td>221132</td>\n",
       "      <td>191.67</td>\n",
       "      <td>27010.00</td>\n",
       "      <td>143505.00</td>\n",
       "      <td>50617.00</td>\n",
       "      <td>indy100</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>5014</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e029967f1b95be119e29603ec4b975a8ccedcfbe</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/pharrell-n...</td>\n",
       "      <td>Pharrell To College Graduates: 'We Need To Lif...</td>\n",
       "      <td>2017-05-18 19:12:14.557</td>\n",
       "      <td>2017-05-18 09:13:21.000</td>\n",
       "      <td>50390</td>\n",
       "      <td>36.58</td>\n",
       "      <td>821.00</td>\n",
       "      <td>45904.00</td>\n",
       "      <td>3665.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>215</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0765a68170be1d1bc8d466cd312b4198b1bed52a</th>\n",
       "      <td>https://www.washingtonpost.com/news/morning-mi...</td>\n",
       "      <td>Kid genius brothers, 11 and 14, graduate high ...</td>\n",
       "      <td>2017-05-12 08:12:05.453</td>\n",
       "      <td>2017-05-12 08:06:00.000</td>\n",
       "      <td>68072</td>\n",
       "      <td>58.41</td>\n",
       "      <td>2142.00</td>\n",
       "      <td>56282.00</td>\n",
       "      <td>9648.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24c4629edddc8db232fe20107e1eeed658d04980</th>\n",
       "      <td>http://evolvepolitics.com/one-britains-influen...</td>\n",
       "      <td>One of Britain's most influential rappers just...</td>\n",
       "      <td>2017-05-16 10:35:22.163</td>\n",
       "      <td>2017-05-09 16:52:45.000</td>\n",
       "      <td>55710</td>\n",
       "      <td>1.61</td>\n",
       "      <td>7810.00</td>\n",
       "      <td>36702.00</td>\n",
       "      <td>11198.00</td>\n",
       "      <td>EvolvePolitics.com</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>119412</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7465f0aa8747b4b86761fe8c64da207a048347e7</th>\n",
       "      <td>https://www.buzzfeed.com/aishamirza/until-whit...</td>\n",
       "      <td>Until White Women Ruined It</td>\n",
       "      <td>2017-05-23 20:25:14.205</td>\n",
       "      <td>2017-05-23 17:25:19.000</td>\n",
       "      <td>50599</td>\n",
       "      <td>17.11</td>\n",
       "      <td>17118.00</td>\n",
       "      <td>28783.00</td>\n",
       "      <td>4698.00</td>\n",
       "      <td>Buzzfeed News</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>147</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8b2f321660974d49d7bbff5eb7bbacff15c034b9</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/mickey-row...</td>\n",
       "      <td>Finally, An Actor With Autism Is Starring In '...</td>\n",
       "      <td>2017-05-10 16:20:24.388</td>\n",
       "      <td>2017-05-10 04:43:41.000</td>\n",
       "      <td>43300</td>\n",
       "      <td>31.04</td>\n",
       "      <td>2726.00</td>\n",
       "      <td>36456.00</td>\n",
       "      <td>4118.00</td>\n",
       "      <td>HuffPost</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>215</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ec37e52e5822f54de86ca03fdccb331e63efce9f</th>\n",
       "      <td>http://yournewswire.com/melania-trump-bans-mon...</td>\n",
       "      <td>Melania Trump Bans Monsanto Products From The ...</td>\n",
       "      <td>2017-05-30 18:20:12.797</td>\n",
       "      <td>2017-05-30 18:14:49.000</td>\n",
       "      <td>64190</td>\n",
       "      <td>43.00</td>\n",
       "      <td>10865.00</td>\n",
       "      <td>45276.00</td>\n",
       "      <td>8049.00</td>\n",
       "      <td>Your News Wire</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>22568</td>\n",
       "      <td>50.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>53.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1f5b4b137dd3d3590710c2b94575fe1b54dbda02</th>\n",
       "      <td>https://www.washingtonpost.com/news/early-lead...</td>\n",
       "      <td>Torrey Smith just paid the adoption fee for 46...</td>\n",
       "      <td>2017-05-07 20:36:02.478</td>\n",
       "      <td>2017-05-07 20:27:00.000</td>\n",
       "      <td>70570</td>\n",
       "      <td>49.83</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>53.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f370c7baac0ce9a5d9a74e3a022790b8536ef400</th>\n",
       "      <td>http://www.washingtonpost.com/politics/2017/li...</td>\n",
       "      <td>Democrats are demanding an investigation of Se...</td>\n",
       "      <td>2017-05-17 17:00:09.780</td>\n",
       "      <td>2017-05-17 17:00:09.780</td>\n",
       "      <td>42073</td>\n",
       "      <td>92.58</td>\n",
       "      <td>2922.00</td>\n",
       "      <td>37359.00</td>\n",
       "      <td>1792.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2ae7ddbb5ead761510ae0b05f24f3d9cc096c157</th>\n",
       "      <td>https://www.washingtonpost.com/news/energy-env...</td>\n",
       "      <td>Scientists just published an entire study refu...</td>\n",
       "      <td>2017-05-24 17:57:12.090</td>\n",
       "      <td>2017-05-24 17:46:23.000</td>\n",
       "      <td>47462</td>\n",
       "      <td>41.72</td>\n",
       "      <td>2589.00</td>\n",
       "      <td>37804.00</td>\n",
       "      <td>7069.00</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dffa1bb577da46da34e2d0753a48ad497fde3e25</th>\n",
       "      <td>https://www.indy100.com/article/justin-trudeau...</td>\n",
       "      <td>Two of the most popular world leaders went for...</td>\n",
       "      <td>2017-05-26 11:25:16.769</td>\n",
       "      <td>2017-05-26 11:11:53.000</td>\n",
       "      <td>42286</td>\n",
       "      <td>48.39</td>\n",
       "      <td>4105.00</td>\n",
       "      <td>35844.00</td>\n",
       "      <td>2337.00</td>\n",
       "      <td>indy100</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>5014</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0ae249e0a6761c5c59710c905a88de0341bcef4c</th>\n",
       "      <td>https://www.washingtonpost.com/national/health...</td>\n",
       "      <td>Journalist arrested during US health secretary...</td>\n",
       "      <td>2017-05-10 11:30:11.366</td>\n",
       "      <td>2017-05-10 11:22:13.000</td>\n",
       "      <td>41446</td>\n",
       "      <td>300.40</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>nan</td>\n",
       "      <td>The Washington Post</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>191</td>\n",
       "      <td>47.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd  http://yournewswire.com/world-gets-behind-puti...   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15  https://www.washingtonpost.com/news/parenting/...   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44  http://www.huffingtonpost.com/entry/chris-corn...   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5  https://www.nytimes.com/2017/05/19/business/li...   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69  http://www.independent.co.uk/jeff-sessions-wom...   \n",
       "971f61642849a7db6f16046b241cc16819f87a33  http://www.cnn.com/2013/05/28/travel/100-best-...   \n",
       "238e488a22925512652eef984fb16fd547ac9512  https://www.washingtonpost.com/local/obituarie...   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  https://www.indy100.com/article/divorced-fathe...   \n",
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       "5811a42e5a65ce6dca6b1b85fb72b585914d495e  http://www.independent.co.uk/news/world/americ...   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3  http://www.huffingtonpost.com/entry/black-farm...   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b  https://www.washingtonpost.com/national/repres...   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8  https://www.indy100.com/article/luxembourg-gay...   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8  https://www.indy100.com/article/white-privileg...   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe  http://www.huffingtonpost.com/entry/pharrell-n...   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a  https://www.washingtonpost.com/news/morning-mi...   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980  http://evolvepolitics.com/one-britains-influen...   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7  https://www.buzzfeed.com/aishamirza/until-whit...   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9  http://www.huffingtonpost.com/entry/mickey-row...   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f  http://yournewswire.com/melania-trump-bans-mon...   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02  https://www.washingtonpost.com/news/early-lead...   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400  http://www.washingtonpost.com/politics/2017/li...   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157  https://www.washingtonpost.com/news/energy-env...   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25  https://www.indy100.com/article/justin-trudeau...   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c  https://www.washingtonpost.com/national/health...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd  World Gets Behind Putin's Vow To Destroy New W...   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15  The important role of aunts and uncles in chil...   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44     Chris Cornell: When Suicide Doesn't Make Sense   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5      Lisa Su on the Art of Setting Ambitious Goals   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69  Woman found guilty and faces year in jail for ...   \n",
       "971f61642849a7db6f16046b241cc16819f87a33                           World's 100 best beaches   \n",
       "238e488a22925512652eef984fb16fd547ac9512  Representative: Rocker Chris Cornell has died ...   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  This dad's brilliant post about his ex-wife is...   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165  Luxembourg's openly gay 'first husband' joined...   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e  US citizens with cancer could pay up to $140,0...   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3  Black Farmer Calls Out Liberal Racism In Power...   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b  Representative: Rocker Chris Cornell has died ...   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8  Luxembourg's openly gay 'first husband' joined...   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8  This student's message about white privilege i...   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe  Pharrell To College Graduates: 'We Need To Lif...   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a  Kid genius brothers, 11 and 14, graduate high ...   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980  One of Britain's most influential rappers just...   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7                        Until White Women Ruined It   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9  Finally, An Actor With Autism Is Starring In '...   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f  Melania Trump Bans Monsanto Products From The ...   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02  Torrey Smith just paid the adoption fee for 46...   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400  Democrats are demanding an investigation of Se...   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157  Scientists just published an entire study refu...   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25  Two of the most popular world leaders went for...   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c  Journalist arrested during US health secretary...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd 2017-05-17 10:51:54.096   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15 2017-05-26 10:06:13.945   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44 2017-05-19 13:30:19.144   \n",
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       "3fb57d744f1b05e05f6745bd5244130eeb77aa69 2017-05-03 17:50:18.534   \n",
       "971f61642849a7db6f16046b241cc16819f87a33 2017-05-11 11:15:18.220   \n",
       "238e488a22925512652eef984fb16fd547ac9512 2017-05-18 07:45:22.278   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267 2017-05-15 11:09:18.339   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165 2017-05-26 12:05:12.044   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e 2017-05-04 11:08:25.992   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3 2017-05-24 19:21:13.921   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b 2017-05-18 07:39:09.658   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8 2017-05-26 09:35:12.615   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8 2017-05-15 11:09:03.877   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe 2017-05-18 19:12:14.557   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a 2017-05-12 08:12:05.453   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980 2017-05-16 10:35:22.163   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7 2017-05-23 20:25:14.205   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9 2017-05-10 16:20:24.388   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f 2017-05-30 18:20:12.797   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02 2017-05-07 20:36:02.478   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400 2017-05-17 17:00:09.780   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157 2017-05-24 17:57:12.090   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25 2017-05-26 11:25:16.769   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c 2017-05-10 11:30:11.366   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd 2017-05-06 22:00:12.000   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15 2017-05-26 10:00:00.000   \n",
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       "3fb57d744f1b05e05f6745bd5244130eeb77aa69 2017-05-03 17:48:28.000   \n",
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       "c55509930e92f71ee534edf7d570b70ed81a2267 2017-05-14 08:36:41.000   \n",
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       "6a9c8aa43c71cb24777862596739902fb4b06ff8 2017-05-26 09:30:24.000   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8 2017-05-13 15:05:34.000   \n",
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       "0765a68170be1d1bc8d466cd312b4198b1bed52a 2017-05-12 08:06:00.000   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980 2017-05-09 16:52:45.000   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7 2017-05-23 17:25:19.000   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9 2017-05-10 04:43:41.000   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f 2017-05-30 18:14:49.000   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02 2017-05-07 20:27:00.000   \n",
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       "\n",
       "                                          fb_engagements  \\\n",
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       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
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       "d864ee5c2c85f8cb99380b309268422f81d48165                      108.48   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e                      108.33   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3                       18.61   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b                       62.50   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8                      145.08   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8                      191.67   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe                       36.58   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a                       58.41   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980                        1.61   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7                       17.11   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9                       31.04   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f                       43.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02                       49.83   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400                       92.58   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157                       41.72   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25                       48.39   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c                      300.40   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd     24418.00     114380.00   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15      8077.00      62427.00   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44     11786.00      50465.00   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5        65.00     149665.00   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69          nan           nan   \n",
       "971f61642849a7db6f16046b241cc16819f87a33          nan           nan   \n",
       "238e488a22925512652eef984fb16fd547ac9512     11497.00      40224.00   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267     58501.00     914126.00   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165      5846.00     141474.00   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e          nan           nan   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3      5498.00      38879.00   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b      9600.00      35506.00   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8      4788.00     120893.00   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8     27010.00     143505.00   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe       821.00      45904.00   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a      2142.00      56282.00   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980      7810.00      36702.00   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7     17118.00      28783.00   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9      2726.00      36456.00   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f     10865.00      45276.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02          nan           nan   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400      2922.00      37359.00   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157      2589.00      37804.00   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25      4105.00      35844.00   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c          nan           nan   \n",
       "\n",
       "                                          fb_shares       publisher_name  \\\n",
       "id                                                                         \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd   27908.00       Your News Wire   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15   13613.00  The Washington Post   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44   11297.00             HuffPost   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5      69.00       New York Times   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69        nan      The Independent   \n",
       "971f61642849a7db6f16046b241cc16819f87a33        nan                  CNN   \n",
       "238e488a22925512652eef984fb16fd547ac9512    5424.00  The Washington Post   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267  141841.00              indy100   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165    9183.00              indy100   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e        nan      The Independent   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3    8504.00             HuffPost   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b    4831.00  The Washington Post   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8    6069.00              indy100   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8   50617.00              indy100   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe    3665.00             HuffPost   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a    9648.00  The Washington Post   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980   11198.00   EvolvePolitics.com   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7    4698.00        Buzzfeed News   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9    4118.00             HuffPost   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f    8049.00       Your News Wire   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02        nan  The Washington Post   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400    1792.00  The Washington Post   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157    7069.00  The Washington Post   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25    2337.00              indy100   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c        nan  The Washington Post   \n",
       "\n",
       "                                             ...     fb_brand_page  \\\n",
       "id                                           ...                     \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd     ...             False   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15     ...             False   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44     ...             False   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5     ...             False   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69     ...             False   \n",
       "971f61642849a7db6f16046b241cc16819f87a33     ...             False   \n",
       "238e488a22925512652eef984fb16fd547ac9512     ...             False   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267     ...             False   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165     ...             False   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e     ...             False   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3     ...             False   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b     ...             False   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8     ...             False   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8     ...             False   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe     ...             False   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a     ...             False   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980     ...             False   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7     ...             False   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9     ...             False   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f     ...             False   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02     ...             False   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400     ...             False   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157     ...             False   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25     ...             False   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c     ...             False   \n",
       "\n",
       "                                          fb_brand_page_likes  alexa_rank  \\\n",
       "id                                                                          \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd                  nan       22568   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15                  nan         191   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44                  nan         215   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5                  nan         120   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69                  nan         386   \n",
       "971f61642849a7db6f16046b241cc16819f87a33                  nan         105   \n",
       "238e488a22925512652eef984fb16fd547ac9512                  nan         191   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267                  nan        5014   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165                  nan        5014   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e                  nan         386   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3                  nan         215   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b                  nan         191   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8                  nan        5014   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8                  nan        5014   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe                  nan         215   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a                  nan         191   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980                  nan      119412   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7                  nan         147   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9                  nan         215   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f                  nan       22568   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02                  nan         191   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400                  nan         191   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157                  nan         191   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25                  nan        5014   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c                  nan         191   \n",
       "\n",
       "                                          response_score  lead_score  \\\n",
       "id                                                                     \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd           50.00        0.00   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15           50.00        0.00   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44           50.00        0.00   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5           50.00        0.00   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69           50.00        0.00   \n",
       "971f61642849a7db6f16046b241cc16819f87a33           50.00        0.00   \n",
       "238e488a22925512652eef984fb16fd547ac9512           50.00        0.00   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267           50.00        0.00   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165           50.00        0.00   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e           50.00        0.00   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3           49.00        0.00   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b           49.00        0.00   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8           50.00        0.00   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8           50.00        0.00   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe           49.00        0.00   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a           50.00        0.00   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980           49.00        0.00   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7           49.00        0.00   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9           48.00        0.00   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f           50.00        2.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02           50.00        0.00   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400           48.00        0.00   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157           48.00        0.00   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25           48.00        0.00   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c           47.00        0.00   \n",
       "\n",
       "                                          front_score  \\\n",
       "id                                                      \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd         0.00   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15         0.00   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44         0.00   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5         0.00   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69         0.00   \n",
       "971f61642849a7db6f16046b241cc16819f87a33         0.00   \n",
       "238e488a22925512652eef984fb16fd547ac9512         1.00   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267         1.00   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165         1.00   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e         1.00   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3         0.00   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b         0.00   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8         1.00   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8         1.00   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe         0.00   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a         2.00   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980         1.00   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7         1.00   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9         0.00   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f         1.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02         3.00   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400         1.00   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157         1.00   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25         1.00   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c         0.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd                      0.00   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15                      0.00   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44                      0.00   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5                      0.00   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69                      0.00   \n",
       "971f61642849a7db6f16046b241cc16819f87a33                      0.00   \n",
       "238e488a22925512652eef984fb16fd547ac9512                      0.00   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267                      0.00   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165                      0.00   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e                      0.00   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3                      0.00   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b                      0.00   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8                      0.00   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8                      0.00   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe                      0.00   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a                      0.00   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980                      0.00   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7                      0.00   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9                      0.00   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f                      0.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02                      0.00   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400                      0.00   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157                      0.00   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25                      0.00   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c                      0.00   \n",
       "\n",
       "                                          promotion_score  attention_index  \\\n",
       "id                                                                           \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd             0.00            50.00   \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15             0.00            50.00   \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44             0.00            50.00   \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5             0.00            50.00   \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69             0.00            50.00   \n",
       "971f61642849a7db6f16046b241cc16819f87a33             0.00            50.00   \n",
       "238e488a22925512652eef984fb16fd547ac9512             1.00            51.00   \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267             1.00            51.00   \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165             1.00            51.00   \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e             1.00            51.00   \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3             0.00            49.00   \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b             0.00            49.00   \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8             1.00            51.00   \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8             1.00            51.00   \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe             0.00            49.00   \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a             2.00            52.00   \n",
       "24c4629edddc8db232fe20107e1eeed658d04980             1.00            50.00   \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7             1.00            50.00   \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9             0.00            48.00   \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f             3.00            53.00   \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02             3.00            53.00   \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400             1.00            49.00   \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157             1.00            49.00   \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25             1.00            49.00   \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c             0.00            47.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "bc6d2a659ec806138ffbff7973f3849c2d5170fd      -50.00  \n",
       "f9e0e40d7a2ae8a3ee8cea21e7a4972358b94f15      -50.00  \n",
       "6f582dfe1ce09b7896bc16ff135c62d61eb46c44      -50.00  \n",
       "a31e662de58eeb12d8dcb5f1d40f6302a7cb42a5      -50.00  \n",
       "3fb57d744f1b05e05f6745bd5244130eeb77aa69      -50.00  \n",
       "971f61642849a7db6f16046b241cc16819f87a33      -50.00  \n",
       "238e488a22925512652eef984fb16fd547ac9512      -49.00  \n",
       "c55509930e92f71ee534edf7d570b70ed81a2267      -49.00  \n",
       "d864ee5c2c85f8cb99380b309268422f81d48165      -49.00  \n",
       "5811a42e5a65ce6dca6b1b85fb72b585914d495e      -49.00  \n",
       "7258bf39dbb64771f0a084202fb7aa15138274f3      -49.00  \n",
       "7e4d3e7c555faa571afb985b7283f0a707d0662b      -49.00  \n",
       "6a9c8aa43c71cb24777862596739902fb4b06ff8      -49.00  \n",
       "6c1158c4d5575103f2d3ea9666ea9fd8a94576c8      -49.00  \n",
       "e029967f1b95be119e29603ec4b975a8ccedcfbe      -49.00  \n",
       "0765a68170be1d1bc8d466cd312b4198b1bed52a      -48.00  \n",
       "24c4629edddc8db232fe20107e1eeed658d04980      -48.00  \n",
       "7465f0aa8747b4b86761fe8c64da207a048347e7      -48.00  \n",
       "8b2f321660974d49d7bbff5eb7bbacff15c034b9      -48.00  \n",
       "ec37e52e5822f54de86ca03fdccb331e63efce9f      -47.00  \n",
       "1f5b4b137dd3d3590710c2b94575fe1b54dbda02      -47.00  \n",
       "f370c7baac0ce9a5d9a74e3a022790b8536ef400      -47.00  \n",
       "2ae7ddbb5ead761510ae0b05f24f3d9cc096c157      -47.00  \n",
       "dffa1bb577da46da34e2d0753a48ad497fde3e25      -47.00  \n",
       "0ae249e0a6761c5c59710c905a88de0341bcef4c      -47.00  \n",
       "\n",
       "[25 rows x 24 columns]"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# high response but not promoted\n",
    "data.sort_values(\"score_diff\", ascending=True).head(25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write that data to a file. Note that the scores here are provisional for two reasons:\n",
    "1. they should be using a rolling-month based on the article publication date to calculate medians/min/max etc, whereas in this workbook we as just using values for the month of May\n",
    "2. for analysis, we've rounded the numbers; we don't expect to do that for the actual scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.to_csv(\"articles_with_provisional_scores_2017-05-01_2017-05-31.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attention index of an article is comprised of four components:\n",
    "\n",
    "- *lead score* (max 20 points) based on how long an article was the lead story on the publisher's home page, scaled by the traffic to that publisher\n",
    "- *front score* (max 15 points) based on how long an article was present on the publisher's home page, scaled by traffic to that publisher\n",
    "- *Facebook promotion score* (max 15 points) based on whether the article was promoted to the publisher's Facebook brand page, scaled by the reach of that brand page\n",
    "- *response score* (max 50 points) based on the number of Facebook engagements the article received, relative to other articles\n",
    "\n",
    "Or, in other words:\n",
    "\n",
    "\\begin{align}\n",
    "attentionIndex_a &= leadScore_a + frontScore_a + facebookPromotionScore_a + responseScore_a \\\\\n",
    "leadScore_a &= 20 \\cdot \\left(\\frac{\\min(minsAsLead_a, 60)}{alexaRank_a}\\right) \\cdot \\left( \\frac{\\min(alexaRank)}{60} \\right) \\\\\n",
    "frontScore_a &= \n",
    "15 \\cdot\n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \\cdot\n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right) \\\\\n",
    "facebookPromotion_a &= \n",
    "\\begin{cases}\n",
    " 0 \\text{ if not shared on brand page }\\\\\n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\text{ otherwise }\n",
    "\\end{cases}   \n",
    "\\\\\n",
    "responseScore_a &= \n",
    "\\begin{cases} \n",
    "   0 \\text{ if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))} \\text{ if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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