Marketing_Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f3ddde24-db13-4c01-ba70-90697d6e6592",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f669d1fd-46ee-40b5-926c-ef4ab7b5a927",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"trending_videos.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b4985a78-34e1-4b0f-858a-9ca834a14954",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>video_id</th>\n",
       "      <th>video_time</th>\n",
       "      <th>video_length</th>\n",
       "      <th>n_likes</th>\n",
       "      <th>n_shares</th>\n",
       "      <th>n_comments</th>\n",
       "      <th>n_plays</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>1.000000e+02</td>\n",
       "      <td>1.000000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>6.339416e+18</td>\n",
       "      <td>6.988683e+18</td>\n",
       "      <td>1.627180e+09</td>\n",
       "      <td>15.400000</td>\n",
       "      <td>2.627353e+06</td>\n",
       "      <td>1.090323e+05</td>\n",
       "      <td>4.786165e+04</td>\n",
       "      <td>2.338491e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.697732e+18</td>\n",
       "      <td>9.770098e+15</td>\n",
       "      <td>2.274777e+06</td>\n",
       "      <td>13.318173</td>\n",
       "      <td>4.151951e+06</td>\n",
       "      <td>2.425277e+05</td>\n",
       "      <td>1.559688e+05</td>\n",
       "      <td>3.761375e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.195685e+07</td>\n",
       "      <td>6.967089e+18</td>\n",
       "      <td>1.622152e+09</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>3.438000e+03</td>\n",
       "      <td>2.490000e+02</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>2.913000e+05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>6.721275e+18</td>\n",
       "      <td>6.981136e+18</td>\n",
       "      <td>1.625422e+09</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>2.799750e+05</td>\n",
       "      <td>1.155000e+04</td>\n",
       "      <td>3.610250e+03</td>\n",
       "      <td>3.375000e+06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>6.786934e+18</td>\n",
       "      <td>6.992289e+18</td>\n",
       "      <td>1.628019e+09</td>\n",
       "      <td>11.000000</td>\n",
       "      <td>9.478000e+05</td>\n",
       "      <td>4.195000e+04</td>\n",
       "      <td>1.045000e+04</td>\n",
       "      <td>1.040000e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>6.879898e+18</td>\n",
       "      <td>6.997130e+18</td>\n",
       "      <td>1.629146e+09</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>3.300000e+06</td>\n",
       "      <td>1.096750e+05</td>\n",
       "      <td>3.112500e+04</td>\n",
       "      <td>2.700000e+07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>6.995923e+18</td>\n",
       "      <td>7.000078e+18</td>\n",
       "      <td>1.629833e+09</td>\n",
       "      <td>83.000000</td>\n",
       "      <td>2.800000e+07</td>\n",
       "      <td>2.100000e+06</td>\n",
       "      <td>1.500000e+06</td>\n",
       "      <td>2.223000e+08</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            user_id      video_id    video_time  video_length       n_likes  \\\n",
       "count  1.000000e+02  1.000000e+02  1.000000e+02    100.000000  1.000000e+02   \n",
       "mean   6.339416e+18  6.988683e+18  1.627180e+09     15.400000  2.627353e+06   \n",
       "std    1.697732e+18  9.770098e+15  2.274777e+06     13.318173  4.151951e+06   \n",
       "min    1.195685e+07  6.967089e+18  1.622152e+09      7.000000  3.438000e+03   \n",
       "25%    6.721275e+18  6.981136e+18  1.625422e+09      9.000000  2.799750e+05   \n",
       "50%    6.786934e+18  6.992289e+18  1.628019e+09     11.000000  9.478000e+05   \n",
       "75%    6.879898e+18  6.997130e+18  1.629146e+09     15.000000  3.300000e+06   \n",
       "max    6.995923e+18  7.000078e+18  1.629833e+09     83.000000  2.800000e+07   \n",
       "\n",
       "           n_shares    n_comments       n_plays  \n",
       "count  1.000000e+02  1.000000e+02  1.000000e+02  \n",
       "mean   1.090323e+05  4.786165e+04  2.338491e+07  \n",
       "std    2.425277e+05  1.559688e+05  3.761375e+07  \n",
       "min    2.490000e+02  0.000000e+00  2.913000e+05  \n",
       "25%    1.155000e+04  3.610250e+03  3.375000e+06  \n",
       "50%    4.195000e+04  1.045000e+04  1.040000e+07  \n",
       "75%    1.096750e+05  3.112500e+04  2.700000e+07  \n",
       "max    2.100000e+06  1.500000e+06  2.223000e+08  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ff1b5d93-a6e2-477c-9858-cfc8f0f3cb13",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_name</th>\n",
       "      <th>user_id</th>\n",
       "      <th>video_id</th>\n",
       "      <th>video_desc</th>\n",
       "      <th>video_time</th>\n",
       "      <th>video_length</th>\n",
       "      <th>video_link</th>\n",
       "      <th>n_likes</th>\n",
       "      <th>n_shares</th>\n",
       "      <th>n_comments</th>\n",
       "      <th>n_plays</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>bts_official_bighit</td>\n",
       "      <td>6737188750352401410</td>\n",
       "      <td>6999919482068077826</td>\n",
       "      <td>✌️💜😚 #쮀이호오오옵 과 함께 신나게 #PTD</td>\n",
       "      <td>1629795759</td>\n",
       "      <td>18</td>\n",
       "      <td>https://www.tiktok.com/@bts_official_bighit/vi...</td>\n",
       "      <td>3600000</td>\n",
       "      <td>109500</td>\n",
       "      <td>212900</td>\n",
       "      <td>9700000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>dulssy</td>\n",
       "      <td>6527426242138870784</td>\n",
       "      <td>6989072033573391621</td>\n",
       "      <td>😂😂😂😂</td>\n",
       "      <td>1627270146</td>\n",
       "      <td>9</td>\n",
       "      <td>https://www.tiktok.com/@dulssy/video/698907203...</td>\n",
       "      <td>2500000</td>\n",
       "      <td>233300</td>\n",
       "      <td>31100</td>\n",
       "      <td>34800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>coco224466</td>\n",
       "      <td>6974782710108521477</td>\n",
       "      <td>6977625126338710789</td>\n",
       "      <td>He really did the 🦗🦟#happydog #puppy #dog #fun...</td>\n",
       "      <td>1624604959</td>\n",
       "      <td>10</td>\n",
       "      <td>https://www.tiktok.com/@coco224466/video/69776...</td>\n",
       "      <td>4000000</td>\n",
       "      <td>306500</td>\n",
       "      <td>122500</td>\n",
       "      <td>45100000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>moontellthat</td>\n",
       "      <td>6807620910251115525</td>\n",
       "      <td>6978279631048772869</td>\n",
       "      <td>I do need help 😩 #trolling  #vietnamesegirl #c...</td>\n",
       "      <td>1624757343</td>\n",
       "      <td>27</td>\n",
       "      <td>https://www.tiktok.com/@moontellthat/video/697...</td>\n",
       "      <td>11300000</td>\n",
       "      <td>908100</td>\n",
       "      <td>125200</td>\n",
       "      <td>101200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>spicekingcam</td>\n",
       "      <td>6770811947673404422</td>\n",
       "      <td>6967513355456187654</td>\n",
       "      <td>shhh asmr #spiceking</td>\n",
       "      <td>1622250623</td>\n",
       "      <td>15</td>\n",
       "      <td>https://www.tiktok.com/@spicekingcam/video/696...</td>\n",
       "      <td>2700000</td>\n",
       "      <td>18300</td>\n",
       "      <td>59700</td>\n",
       "      <td>27900000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             user_name              user_id             video_id  \\\n",
       "0  bts_official_bighit  6737188750352401410  6999919482068077826   \n",
       "1               dulssy  6527426242138870784  6989072033573391621   \n",
       "2           coco224466  6974782710108521477  6977625126338710789   \n",
       "3         moontellthat  6807620910251115525  6978279631048772869   \n",
       "4         spicekingcam  6770811947673404422  6967513355456187654   \n",
       "\n",
       "                                          video_desc  video_time  \\\n",
       "0                         ✌️💜😚 #쮀이호오오옵 과 함께 신나게 #PTD  1629795759   \n",
       "1                                               😂😂😂😂  1627270146   \n",
       "2  He really did the 🦗🦟#happydog #puppy #dog #fun...  1624604959   \n",
       "3  I do need help 😩 #trolling  #vietnamesegirl #c...  1624757343   \n",
       "4                               shhh asmr #spiceking  1622250623   \n",
       "\n",
       "   video_length                                         video_link   n_likes  \\\n",
       "0            18  https://www.tiktok.com/@bts_official_bighit/vi...   3600000   \n",
       "1             9  https://www.tiktok.com/@dulssy/video/698907203...   2500000   \n",
       "2            10  https://www.tiktok.com/@coco224466/video/69776...   4000000   \n",
       "3            27  https://www.tiktok.com/@moontellthat/video/697...  11300000   \n",
       "4            15  https://www.tiktok.com/@spicekingcam/video/696...   2700000   \n",
       "\n",
       "   n_shares  n_comments    n_plays  \n",
       "0    109500      212900    9700000  \n",
       "1    233300       31100   34800000  \n",
       "2    306500      122500   45100000  \n",
       "3    908100      125200  101200000  \n",
       "4     18300       59700   27900000  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9bb9c9cf-cc83-4a01-9fab-e6ae7b022675",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "user_name        0\n",
      "user_id          0\n",
      "video_id         0\n",
      "video_desc      13\n",
      "video_time       0\n",
      "video_length     0\n",
      "video_link       0\n",
      "n_likes          0\n",
      "n_shares         0\n",
      "n_comments       0\n",
      "n_plays          0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(df.isnull().sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e7208fe-5018-46c3-aeba-880c484e036d",
   "metadata": {},
   "source": [
    "## Calculating Total and Average Engagement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f50fd385-72fb-46d0-adb0-9d10539a96df",
   "metadata": {},
   "outputs": [],
   "source": [
    "total_engagement = {\n",
    "    'total_likes' : df['n_likes'].sum(),\n",
    "    'total_shares' : df['n_shares'].sum(),\n",
    "    'total_plays' : df['n_plays'].sum(),\n",
    "    'total_comments' : df['n_comments'].sum()\n",
    "    \n",
    "}\n",
    "\n",
    "average_engagement = {\n",
    "    'average_likes' : df['n_likes'].mean(),\n",
    "    'average_shares' : df['n_shares'].mean(),\n",
    "    'average_plays' : df['n_plays'].mean(),\n",
    "    'average_comments' : df['n_comments'].mean()\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7a902d2-381e-4954-9afa-c247a52fc9d7",
   "metadata": {},
   "source": [
    "## Visualizing Engagement Metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a7dc7666-4a6e-4e23-8128-d26cce360c73",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.bar(total_engagement.keys(),total_engagement.values())\n",
    "plt.title(\"Total Engagement Metrics\")\n",
    "plt.ylabel(\"count\")\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.bar(average_engagement.keys(), average_engagement.values())\n",
    "plt.title(\"Average Engagement Metrics\")\n",
    "plt.ylabel(\"Average Count\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37b28694-4b03-4595-b647-24b768c84d95",
   "metadata": {},
   "source": [
    "## Analyzing Engagement by Video Length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3945fb57-75df-412d-a6c3-40c1094457d0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Administrator\\AppData\\Local\\Temp\\ipykernel_11588\\3917376952.py:7: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n",
      "  length_engagement = df.groupby('length_category').agg({\n"
     ]
    }
   ],
   "source": [
    "bins = [0, 30, 60, 120, float('inf')]\n",
    "labels = ['Short', 'Medium', 'Long', 'Very Long']\n",
    "df['length_category'] = pd.cut(df['video_length'], bins=bins, labels=labels)\n",
    "\n",
    "# Calculate average engagement by length category\n",
    "\n",
    "length_engagement = df.groupby('length_category').agg({\n",
    "    'n_likes': 'mean',\n",
    "    'n_comments': 'mean',\n",
    "    'n_shares': 'mean',\n",
    "    'n_plays': 'mean'\n",
    "}).reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bdfa27ac-fecf-42df-a0a9-cae8379ff41e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  length_category       n_likes   n_comments       n_shares       n_plays\n",
      "0           Short  2.653976e+06  49738.51087  107317.934783  2.221947e+07\n",
      "1          Medium  2.867567e+06  30437.00000  149496.833333  4.733333e+07\n",
      "2            Long  6.820500e+05  13800.00000   66500.000000  5.150000e+06\n",
      "3       Very Long           NaN          NaN            NaN           NaN\n"
     ]
    }
   ],
   "source": [
    "print(length_engagement)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88f316d9-9c07-428a-bbbc-0779b3549037",
   "metadata": {},
   "source": [
    "## Visualizing Engagement by Video Length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "83fa8332-d6e3-415b-8f91-120655d0c824",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "length_engagement.plot(x='length_category', kind='bar', figsize=(10, 5), title='Average Engagement by Video Length')\n",
    "plt.ylabel('Average Count')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a807cde6-092c-49ba-a04c-35b35586e7b9",
   "metadata": {},
   "source": [
    "## Calculating the correlation between engagement metrics to identify relationships."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "835be810-9580-4eb1-9f38-62f683aa62cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Encode video length categories into numeric values\n",
    "df['length_category_encoded'] = df['length_category'].map({'Short': 1, 'Medium': 2, 'Long': 3, 'Very Long': 4})\n",
    "correlation_matrix = df[['length_category_encoded', 'n_likes', 'n_comments', 'n_shares', 'n_plays']].corr()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b025c884-4622-41c2-aa63-90a108563370",
   "metadata": {},
   "source": [
    "## Using a heatmap to visualize correlations between video lengths and other metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3cff7b0d-4b69-43da-b811-ed86309bd0e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm', fmt='.2f')\n",
    "plt.title('Correlation Matrix with Categorized Video Length')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b2b3a251-a39f-424e-aa52-720beda53fcd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                         length_category_encoded   n_likes  n_comments  \\\n",
      "length_category_encoded                 1.000000 -0.042564   -0.043035   \n",
      "n_likes                                -0.042564  1.000000    0.783226   \n",
      "n_comments                             -0.043035  0.783226    1.000000   \n",
      "n_shares                                0.008351  0.709019    0.857165   \n",
      "n_plays                                 0.052432  0.879343    0.671663   \n",
      "\n",
      "                         n_shares   n_plays  \n",
      "length_category_encoded  0.008351  0.052432  \n",
      "n_likes                  0.709019  0.879343  \n",
      "n_comments               0.857165  0.671663  \n",
      "n_shares                 1.000000  0.626206  \n",
      "n_plays                  0.626206  1.000000  \n"
     ]
    }
   ],
   "source": [
    "print(correlation_matrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0fd03fdb-3409-40ea-9684-f4c8cdfec48f",
   "metadata": {},
   "source": [
    "## Converting Uinx time to datetime format"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f31fd6b4-9132-4586-9a0e-d25f4f00f058",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert Unix timestamp to datetime format\n",
    "df['timestamp'] = pd.to_datetime(df['video_time'], unit='s')\n",
    "\n",
    "#Extracting Features\n",
    "df['hour'] = df['timestamp'].dt.hour\n",
    "df['day_of_week'] = df['timestamp'].dt.day_name()\n",
    "df['month'] = df['timestamp'].dt.month_name()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "ef79815b-36aa-46e3-b8a5-01d99f242ba4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              user_name              user_id             video_id  \\\n",
      "0   bts_official_bighit  6737188750352401410  6999919482068077826   \n",
      "1                dulssy  6527426242138870784  6989072033573391621   \n",
      "2            coco224466  6974782710108521477  6977625126338710789   \n",
      "3          moontellthat  6807620910251115525  6978279631048772869   \n",
      "4          spicekingcam  6770811947673404422  6967513355456187654   \n",
      "..                  ...                  ...                  ...   \n",
      "95              l_s_d_r  6768091588151739398  6990459477203963141   \n",
      "96    campuzanoabelardo  6752168394252977158  6987921399197355270   \n",
      "97          sexy_human_  6995922574211367938  6999390104183721218   \n",
      "98       henriquezedwin  6584140933355372549  6994894437725916422   \n",
      "99         kirito_jose1  6960452618931389445  6977566892558912774   \n",
      "\n",
      "                                           video_desc  video_time  \\\n",
      "0                          ✌️💜😚 #쮀이호오오옵 과 함께 신나게 #PTD  1629795759   \n",
      "1                                                😂😂😂😂  1627270146   \n",
      "2   He really did the 🦗🦟#happydog #puppy #dog #fun...  1624604959   \n",
      "3   I do need help 😩 #trolling  #vietnamesegirl #c...  1624757343   \n",
      "4                                shhh asmr #spiceking  1622250623   \n",
      "..                                                ...         ...   \n",
      "95                                                NaN  1627593180   \n",
      "96  Who else has experienced this?!!🤣🇲🇽#XfinityFan...  1627002241   \n",
      "97                                                NaN  1629672506   \n",
      "98  Es re tóxica y pobre compa 🤣🤣 y el material 🤣 ...  1628625775   \n",
      "99                                               😂😂😂😂  1624591396   \n",
      "\n",
      "    video_length                                         video_link   n_likes  \\\n",
      "0             18  https://www.tiktok.com/@bts_official_bighit/vi...   3600000   \n",
      "1              9  https://www.tiktok.com/@dulssy/video/698907203...   2500000   \n",
      "2             10  https://www.tiktok.com/@coco224466/video/69776...   4000000   \n",
      "3             27  https://www.tiktok.com/@moontellthat/video/697...  11300000   \n",
      "4             15  https://www.tiktok.com/@spicekingcam/video/696...   2700000   \n",
      "..           ...                                                ...       ...   \n",
      "95            11  https://www.tiktok.com/@l_s_d_r/video/69904594...    976900   \n",
      "96            66  https://www.tiktok.com/@campuzanoabelardo/vide...   1000000   \n",
      "97            11  https://www.tiktok.com/@sexy_human_/video/6999...    147300   \n",
      "98            15  https://www.tiktok.com/@henriquezedwin/video/6...   1000000   \n",
      "99            11  https://www.tiktok.com/@kirito_jose1/video/697...    475300   \n",
      "\n",
      "    n_shares  n_comments    n_plays length_category length_category_encoded  \\\n",
      "0     109500      212900    9700000           Short                       1   \n",
      "1     233300       31100   34800000           Short                       1   \n",
      "2     306500      122500   45100000           Short                       1   \n",
      "3     908100      125200  101200000           Short                       1   \n",
      "4      18300       59700   27900000           Short                       1   \n",
      "..       ...         ...        ...             ...                     ...   \n",
      "95    143400       10400   29800000           Short                       1   \n",
      "96     36400       15300    6200000            Long                       3   \n",
      "97     13000        1335    2100000           Short                       1   \n",
      "98    137100       12100   17100000           Short                       1   \n",
      "99     34500        4790    2400000           Short                       1   \n",
      "\n",
      "             timestamp  hour day_of_week   month  \n",
      "0  2021-08-24 09:02:39     9     Tuesday  August  \n",
      "1  2021-07-26 03:29:06     3      Monday    July  \n",
      "2  2021-06-25 07:09:19     7      Friday    June  \n",
      "3  2021-06-27 01:29:03     1      Sunday    June  \n",
      "4  2021-05-29 01:10:23     1    Saturday     May  \n",
      "..                 ...   ...         ...     ...  \n",
      "95 2021-07-29 21:13:00    21    Thursday    July  \n",
      "96 2021-07-23 01:04:01     1      Friday    July  \n",
      "97 2021-08-22 22:48:26    22      Sunday  August  \n",
      "98 2021-08-10 20:02:55    20     Tuesday  August  \n",
      "99 2021-06-25 03:23:16     3      Friday    June  \n",
      "\n",
      "[100 rows x 17 columns]\n"
     ]
    }
   ],
   "source": [
    "print(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82699c96-f1d5-4ca1-82b4-93edd5e8803a",
   "metadata": {},
   "source": [
    "##  Video Performance by Time of Day"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1c531ab6-0b67-4c5b-8fc5-bcdb92ce6b0b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Group by hour to analyze performance\n",
    "hourly_engagement = df.groupby('hour').agg({\n",
    "    'n_plays': 'mean',\n",
    "    'n_likes': 'mean',\n",
    "    'n_comments': 'mean',\n",
    "    'n_shares': 'mean'\n",
    "})\n",
    "\n",
    "# Plot engagement metrics by hour of the day\n",
    "hourly_engagement.plot(kind='bar', figsize=(10,6))\n",
    "plt.title('Average Engagement by Hour of the Day')\n",
    "plt.xlabel('Hour of the Day')\n",
    "plt.ylabel('Average Engagement Metrics')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "77919888-03fd-43b5-becf-3f0fd7947433",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           n_plays       n_likes     n_comments       n_shares\n",
      "hour                                                          \n",
      "0     1.616667e+07  1.974583e+06   21882.166667   92545.000000\n",
      "1     2.503142e+07  3.303211e+06   32990.333333  133272.333333\n",
      "2     3.623043e+07  5.233667e+06   39713.000000  113227.666667\n",
      "3     1.496667e+07  1.306633e+06   14086.666667  103133.333333\n",
      "4     1.020000e+07  4.497000e+05    8086.000000   54382.000000\n",
      "5     1.310000e+07  1.200000e+06   27200.000000   91000.000000\n",
      "6     1.660000e+07  2.653633e+06  119035.000000  228933.333333\n",
      "7     4.510000e+07  4.000000e+06  122500.000000  306500.000000\n",
      "8     1.756667e+07  4.066367e+06   66374.666667   43800.000000\n",
      "9     7.333333e+06  1.370767e+06   73447.000000   56416.666667\n",
      "10    1.500000e+07  3.351450e+06   87758.500000   35840.000000\n",
      "11    1.100000e+07  1.458250e+06    7769.000000    2820.500000\n",
      "12    8.633333e+06  8.552667e+05   19199.666667  131900.000000\n",
      "13    4.145000e+07  3.273550e+06   23750.000000   52150.000000\n",
      "14    6.390000e+07  6.877675e+06   92928.750000   67930.750000\n",
      "15    4.305000e+07  6.077700e+06   59716.500000   31936.000000\n",
      "16    2.148000e+07  1.947280e+06   13634.000000   34270.400000\n",
      "17    1.310608e+07  1.186289e+06   12937.000000   60391.111111\n",
      "18    5.328571e+07  6.516371e+06  237289.428571  365838.428571\n",
      "19    4.640575e+06  7.841595e+05    7675.250000   10633.250000\n",
      "20    1.075556e+07  1.088333e+06   15874.222222   49927.666667\n",
      "21    5.576667e+07  3.576500e+06   41323.666667  134683.333333\n",
      "22    9.200000e+06  9.795833e+05   12391.666667   97213.500000\n",
      "23    1.070000e+07  1.294440e+06   25065.200000  186758.600000\n"
     ]
    }
   ],
   "source": [
    "print(hourly_engagement)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6a3f2df-4d23-40d3-8122-d0edde3a1dea",
   "metadata": {},
   "source": [
    "## Video Performance by Seasons(Months/Quarters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1b58b31e-62fc-4c80-86ad-7ae1a7e50972",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Group by month to analyze seasonal trends\n",
    "avg_monthly_engagement = df.groupby('month').agg({\n",
    "    'n_plays': 'mean',\n",
    "    'n_likes': 'mean',\n",
    "    'n_comments': 'mean',\n",
    "    'n_shares': 'mean'\n",
    "})\n",
    "\n",
    "total_monthly_engagement = df.groupby('month').agg({\n",
    "    'n_plays': 'sum',\n",
    "    'n_likes': 'sum',\n",
    "    'n_comments': 'sum',\n",
    "    'n_shares': 'sum'\n",
    "})\n",
    "\n",
    "# Plotting average engagement metrics by month\n",
    "avg_monthly_engagement.plot(kind='line', figsize=(10,6))\n",
    "plt.title('Average Engagement by Month')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('Average Engagement Metrics')\n",
    "plt.show()\n",
    "\n",
    "# Plotting total engagement metrics by month\n",
    "total_monthly_engagement.plot(kind='line', figsize=(10,6))\n",
    "plt.title('Total Engagement by Month')\n",
    "plt.xlabel('Month')\n",
    "plt.ylabel('Total Engagement Metrics')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "a96f2760-cad7-45b6-b455-6928f5cd6379",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "month\n",
      "May       5.988000e+07\n",
      "June      3.455831e+07\n",
      "July      2.434231e+07\n",
      "August    1.574423e+07\n",
      "Name: n_plays, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "monthly_plays = df.groupby('month')['n_plays'].mean().reindex(['May', 'June', 'July', 'August'])\n",
    "print(monthly_plays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "232dae69-2844-4d04-bda9-d9ac3dc4dcdb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "month\n",
      "May       299400000\n",
      "June      587491300\n",
      "July      632900000\n",
      "August    818699800\n",
      "Name: n_plays, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "monthly_plays = df.groupby('month')['n_plays'].sum().reindex(['May', 'June', 'July', 'August'])\n",
    "print(monthly_plays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "750055f9-bd88-4e05-983a-b878419cad4c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100\n"
     ]
    }
   ],
   "source": [
    "n_videos = len(df)\n",
    "print(n_videos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0d673513-bec8-4882-895e-0bc8051d39ba",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5e766fb5-352e-475f-804a-5f062970d5a8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}