{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2b4d39d4",
   "metadata": {},
   "source": [
    "## Youtube Video Trending Prediction\n",
    "\n",
    "\n",
    "Author: Anita Huang\n",
    "\n",
    "Course Project, UC Irvine, Math 10, S24\n",
    "\n",
    "I would like to post my notebook on the course’s website. Yes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ad971c5",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "- In this project, I tried to conduct a comprehensive analysis of trending YouTube videos in Japan. The goal was to identify key factors that influence the popularity of these videos. Through a systematic approach that included data cleaning, exploratory data analysis, and predictive modeling, I was able to gain several important insights."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24479571",
   "metadata": {},
   "source": [
    "## Exploratory Data Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d6bf839c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "import sklearn as sk \n",
    "import random\n",
    "\n",
    "SEED = 123\n",
    "np.random.seed(SEED)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0932374b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# videos = pd.read_csv(\"JPvideos.csv\", encoding='shift_jis', errors='replace')\n",
    "videos = pd.read_csv('JPvideos.csv', encoding='utf-8', quotechar='\"', delimiter=',', encoding_errors='ignore')\n",
    "videos['category_id'] = pd.to_numeric(videos['category_id'])\n",
    "videos['views'] = pd.to_numeric(videos['views'])\n",
    "videos['tags'] = videos['tags'].str.split('|')\n",
    "videos['like_dislike_ratio'] = videos['likes']/videos['dislikes']\n",
    "videos['like_views_ratio'] = videos['likes']/videos['views']\n",
    "videos['publish_time'] = pd.to_datetime(videos['publish_time'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "eb67aa98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>video_id</th>\n",
       "      <th>trending_date</th>\n",
       "      <th>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>category_id</th>\n",
       "      <th>publish_time</th>\n",
       "      <th>tags</th>\n",
       "      <th>views</th>\n",
       "      <th>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>comment_count</th>\n",
       "      <th>thumbnail_link</th>\n",
       "      <th>comments_disabled</th>\n",
       "      <th>ratings_disabled</th>\n",
       "      <th>video_error_or_removed</th>\n",
       "      <th>description</th>\n",
       "      <th>like_dislike_ratio</th>\n",
       "      <th>like_views_ratio</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5ugKfHgsmYw</td>\n",
       "      <td>18.07.02</td>\n",
       "      <td>陸自ヘリ、垂直に落下＝路上の車が撮影</td>\n",
       "      <td>時事通信映像センター</td>\n",
       "      <td>25</td>\n",
       "      <td>2018-02-06 03:04:37+00:00</td>\n",
       "      <td>[事故, \"佐賀\", \"佐賀県\", \"ヘリコプター\", \"ヘリ\", \"自衛隊\", \"墜落\",...</td>\n",
       "      <td>188085</td>\n",
       "      <td>591</td>\n",
       "      <td>189</td>\n",
       "      <td>0</td>\n",
       "      <td>https://i.ytimg.com/vi/5ugKfHgsmYw/default.jpg</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>佐賀県神埼市の民家に墜落した陸上自衛隊のＡＨ６４Ｄ戦闘ヘリコプターが垂直に落下する様子を、近...</td>\n",
       "      <td>3.126984</td>\n",
       "      <td>0.003142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>ohObafdd34Y</td>\n",
       "      <td>18.07.02</td>\n",
       "      <td>イッテQ お祭り男宮川×手越 巨大ブランコ②</td>\n",
       "      <td>神谷えりな Kamiya Erina 2</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-02-06 04:01:56+00:00</td>\n",
       "      <td>[[none]]</td>\n",
       "      <td>90929</td>\n",
       "      <td>442</td>\n",
       "      <td>88</td>\n",
       "      <td>174</td>\n",
       "      <td>https://i.ytimg.com/vi/ohObafdd34Y/default.jpg</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>NaN</td>\n",
       "      <td>5.022727</td>\n",
       "      <td>0.004861</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>aBr2kKAHN6M</td>\n",
       "      <td>18.07.02</td>\n",
       "      <td>Live Views of Starman</td>\n",
       "      <td>SpaceX</td>\n",
       "      <td>28</td>\n",
       "      <td>2018-02-06 21:38:22+00:00</td>\n",
       "      <td>[[none]]</td>\n",
       "      <td>6408303</td>\n",
       "      <td>165892</td>\n",
       "      <td>2331</td>\n",
       "      <td>3006</td>\n",
       "      <td>https://i.ytimg.com/vi/aBr2kKAHN6M/default.jpg</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>NaN</td>\n",
       "      <td>71.167739</td>\n",
       "      <td>0.025887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5wNnwChvmsQ</td>\n",
       "      <td>18.07.02</td>\n",
       "      <td>東京ディズニーリゾートの元キャストが暴露した秘密5選</td>\n",
       "      <td>アシタノワダイ</td>\n",
       "      <td>25</td>\n",
       "      <td>2018-02-06 06:08:49+00:00</td>\n",
       "      <td>[アシタノワダイ]</td>\n",
       "      <td>96255</td>\n",
       "      <td>1165</td>\n",
       "      <td>277</td>\n",
       "      <td>545</td>\n",
       "      <td>https://i.ytimg.com/vi/5wNnwChvmsQ/default.jpg</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>東京ディズニーリゾートの元キャストが暴露した秘密5選\\n\\nかたまりクリエイトさま\\n【検証...</td>\n",
       "      <td>4.205776</td>\n",
       "      <td>0.012103</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>B7J47qFvdsk</td>\n",
       "      <td>18.07.02</td>\n",
       "      <td>榮倉奈々、衝撃の死んだふり！映画『家に帰ると妻が必ず死んだふりをしています。』特報</td>\n",
       "      <td>シネマトゥデイ</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-02-06 02:30:00+00:00</td>\n",
       "      <td>[[none]]</td>\n",
       "      <td>108408</td>\n",
       "      <td>1336</td>\n",
       "      <td>74</td>\n",
       "      <td>201</td>\n",
       "      <td>https://i.ytimg.com/vi/B7J47qFvdsk/default.jpg</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>家に帰ってきたサラリーマンのじゅん（安田顕）は、玄関で血を出して倒れている妻ちえ（榮倉奈々）...</td>\n",
       "      <td>18.054054</td>\n",
       "      <td>0.012324</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video_id trending_date                                      title  \\\n",
       "0  5ugKfHgsmYw      18.07.02                         陸自ヘリ、垂直に落下＝路上の車が撮影   \n",
       "1  ohObafdd34Y      18.07.02                     イッテQ お祭り男宮川×手越 巨大ブランコ②   \n",
       "2  aBr2kKAHN6M      18.07.02                      Live Views of Starman   \n",
       "3  5wNnwChvmsQ      18.07.02                 東京ディズニーリゾートの元キャストが暴露した秘密5選   \n",
       "4  B7J47qFvdsk      18.07.02  榮倉奈々、衝撃の死んだふり！映画『家に帰ると妻が必ず死んだふりをしています。』特報   \n",
       "\n",
       "          channel_title  category_id              publish_time  \\\n",
       "0            時事通信映像センター           25 2018-02-06 03:04:37+00:00   \n",
       "1  神谷えりな Kamiya Erina 2            1 2018-02-06 04:01:56+00:00   \n",
       "2                SpaceX           28 2018-02-06 21:38:22+00:00   \n",
       "3               アシタノワダイ           25 2018-02-06 06:08:49+00:00   \n",
       "4               シネマトゥデイ            1 2018-02-06 02:30:00+00:00   \n",
       "\n",
       "                                                tags    views   likes  \\\n",
       "0  [事故, \"佐賀\", \"佐賀県\", \"ヘリコプター\", \"ヘリ\", \"自衛隊\", \"墜落\",...   188085     591   \n",
       "1                                           [[none]]    90929     442   \n",
       "2                                           [[none]]  6408303  165892   \n",
       "3                                          [アシタノワダイ]    96255    1165   \n",
       "4                                           [[none]]   108408    1336   \n",
       "\n",
       "   dislikes  comment_count                                  thumbnail_link  \\\n",
       "0       189              0  https://i.ytimg.com/vi/5ugKfHgsmYw/default.jpg   \n",
       "1        88            174  https://i.ytimg.com/vi/ohObafdd34Y/default.jpg   \n",
       "2      2331           3006  https://i.ytimg.com/vi/aBr2kKAHN6M/default.jpg   \n",
       "3       277            545  https://i.ytimg.com/vi/5wNnwChvmsQ/default.jpg   \n",
       "4        74            201  https://i.ytimg.com/vi/B7J47qFvdsk/default.jpg   \n",
       "\n",
       "   comments_disabled  ratings_disabled  video_error_or_removed  \\\n",
       "0               True             False                   False   \n",
       "1              False             False                   False   \n",
       "2              False             False                   False   \n",
       "3              False             False                   False   \n",
       "4              False             False                   False   \n",
       "\n",
       "                                         description  like_dislike_ratio  \\\n",
       "0  佐賀県神埼市の民家に墜落した陸上自衛隊のＡＨ６４Ｄ戦闘ヘリコプターが垂直に落下する様子を、近...            3.126984   \n",
       "1                                                NaN            5.022727   \n",
       "2                                                NaN           71.167739   \n",
       "3  東京ディズニーリゾートの元キャストが暴露した秘密5選\\n\\nかたまりクリエイトさま\\n【検証...            4.205776   \n",
       "4  家に帰ってきたサラリーマンのじゅん（安田顕）は、玄関で血を出して倒れている妻ちえ（榮倉奈々）...           18.054054   \n",
       "\n",
       "   like_views_ratio  \n",
       "0          0.003142  \n",
       "1          0.004861  \n",
       "2          0.025887  \n",
       "3          0.012103  \n",
       "4          0.012324  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "604cd286",
   "metadata": {},
   "outputs": [],
   "source": [
    "videos['trending_date'] = pd.to_datetime(videos['trending_date'], format='%y.%d.%m', utc=True)\n",
    "videos['time_till_trending'] = videos['trending_date'] - videos['publish_time']\n",
    "\n",
    "# Align datetime object format for tableau analysis\n",
    "videos['publish_time'] = videos['publish_time'].dt.strftime('%Y-%m-%dT%H:%M:%S')\n",
    "videos['trending_date'] = videos['trending_date'].dt.strftime('%Y-%m-%dT%H:%M:%S')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ffcb474c",
   "metadata": {},
   "outputs": [],
   "source": [
    "videos['hours_till_trending'] = videos['time_till_trending'].map(lambda x: x.total_seconds()) / 3600\n",
    "videos['days_till_trending'] = videos['time_till_trending'].map(lambda x: x.total_seconds()) / (3600*24)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "103ec066",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>trending_date</th>\n",
       "      <th>publish_time</th>\n",
       "      <th>time_till_trending</th>\n",
       "      <th>days_till_trending</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2018-02-07T00:00:00</td>\n",
       "      <td>2018-02-06T03:04:37</td>\n",
       "      <td>0 days 20:55:23</td>\n",
       "      <td>0.871794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2018-02-07T00:00:00</td>\n",
       "      <td>2018-02-06T04:01:56</td>\n",
       "      <td>0 days 19:58:04</td>\n",
       "      <td>0.831991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2018-02-07T00:00:00</td>\n",
       "      <td>2018-02-06T21:38:22</td>\n",
       "      <td>0 days 02:21:38</td>\n",
       "      <td>0.098356</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2018-02-07T00:00:00</td>\n",
       "      <td>2018-02-06T06:08:49</td>\n",
       "      <td>0 days 17:51:11</td>\n",
       "      <td>0.743877</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2018-02-07T00:00:00</td>\n",
       "      <td>2018-02-06T02:30:00</td>\n",
       "      <td>0 days 21:30:00</td>\n",
       "      <td>0.895833</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         trending_date         publish_time time_till_trending  \\\n",
       "0  2018-02-07T00:00:00  2018-02-06T03:04:37    0 days 20:55:23   \n",
       "1  2018-02-07T00:00:00  2018-02-06T04:01:56    0 days 19:58:04   \n",
       "2  2018-02-07T00:00:00  2018-02-06T21:38:22    0 days 02:21:38   \n",
       "3  2018-02-07T00:00:00  2018-02-06T06:08:49    0 days 17:51:11   \n",
       "4  2018-02-07T00:00:00  2018-02-06T02:30:00    0 days 21:30:00   \n",
       "\n",
       "   days_till_trending  \n",
       "0            0.871794  \n",
       "1            0.831991  \n",
       "2            0.098356  \n",
       "3            0.743877  \n",
       "4            0.895833  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos[['trending_date','publish_time','time_till_trending','days_till_trending']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "53cac40d",
   "metadata": {},
   "outputs": [],
   "source": [
    "videos.to_csv('JP_videos.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6890970f",
   "metadata": {},
   "outputs": [],
   "source": [
    "category = pd.read_json(\"JP_category_id.json\")\n",
    "category = pd.json_normalize(category['items'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "90253d2b",
   "metadata": {},
   "outputs": [],
   "source": [
    "category['id'] = pd.to_numeric(category['id'])\n",
    "#category.to_csv('JP_videos_category.csv')\n",
    "videos = videos.merge(category,how='inner',left_on='category_id', right_on='id')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "01cdecca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 20505 entries, 0 to 20504\n",
      "Data columns (total 27 columns):\n",
      " #   Column                  Non-Null Count  Dtype          \n",
      "---  ------                  --------------  -----          \n",
      " 0   video_id                20505 non-null  object         \n",
      " 1   trending_date           20505 non-null  object         \n",
      " 2   title                   20505 non-null  object         \n",
      " 3   channel_title           20505 non-null  object         \n",
      " 4   category_id             20505 non-null  int64          \n",
      " 5   publish_time            20505 non-null  object         \n",
      " 6   tags                    20505 non-null  object         \n",
      " 7   views                   20505 non-null  int64          \n",
      " 8   likes                   20505 non-null  int64          \n",
      " 9   dislikes                20505 non-null  int64          \n",
      " 10  comment_count           20505 non-null  int64          \n",
      " 11  thumbnail_link          20505 non-null  object         \n",
      " 12  comments_disabled       20505 non-null  bool           \n",
      " 13  ratings_disabled        20505 non-null  bool           \n",
      " 14  video_error_or_removed  20505 non-null  bool           \n",
      " 15  description             18381 non-null  object         \n",
      " 16  like_dislike_ratio      19114 non-null  float64        \n",
      " 17  like_views_ratio        20505 non-null  float64        \n",
      " 18  time_till_trending      20505 non-null  timedelta64[ns]\n",
      " 19  hours_till_trending     20505 non-null  float64        \n",
      " 20  days_till_trending      20505 non-null  float64        \n",
      " 21  kind                    20505 non-null  object         \n",
      " 22  etag                    20505 non-null  object         \n",
      " 23  id                      20505 non-null  int64          \n",
      " 24  snippet.channelId       20505 non-null  object         \n",
      " 25  snippet.title           20505 non-null  object         \n",
      " 26  snippet.assignable      20505 non-null  bool           \n",
      "dtypes: bool(4), float64(4), int64(6), object(12), timedelta64[ns](1)\n",
      "memory usage: 3.7+ MB\n"
     ]
    }
   ],
   "source": [
    "videos.dropna()\n",
    "#videos.to_csv('JP_videos_complete.csv')\n",
    "videos.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b06cfb19",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x282b47eb200>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(videos, vars=videos.columns[7:11])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a22b058",
   "metadata": {},
   "source": [
    "Finding relationships between numeric variables and possible linear relationships between likes and dislikes\n",
    "- Multiple linear lines in a pair plot suggest that there may be linear relationships between Views, Likes, Dislikes, and # of Comments, but these relationships may be different within each video category.\n",
    "or dominated by video content."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4c70c0d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>video_id</th>\n",
       "      <th>trending_date</th>\n",
       "      <th>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>category_id</th>\n",
       "      <th>publish_time</th>\n",
       "      <th>tags</th>\n",
       "      <th>views</th>\n",
       "      <th>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>...</th>\n",
       "      <th>like_views_ratio</th>\n",
       "      <th>time_till_trending</th>\n",
       "      <th>hours_till_trending</th>\n",
       "      <th>days_till_trending</th>\n",
       "      <th>kind</th>\n",
       "      <th>etag</th>\n",
       "      <th>id</th>\n",
       "      <th>snippet.channelId</th>\n",
       "      <th>snippet.title</th>\n",
       "      <th>snippet.assignable</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>16331</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16317</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16303</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16289</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14599</th>\n",
       "      <td>p8npDG2ulKQ</td>\n",
       "      <td>2018-05-08T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) LOVE YOURSELF 轉 Tear 'Singularity'...</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-06T15:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄\"]</td>\n",
       "      <td>15875379</td>\n",
       "      <td>2285436</td>\n",
       "      <td>19400</td>\n",
       "      <td>...</td>\n",
       "      <td>0.143961</td>\n",
       "      <td>1 days 08:59:58</td>\n",
       "      <td>32.999444</td>\n",
       "      <td>1.374977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          video_id        trending_date  \\\n",
       "16331  7C2z4GqqS5E  2018-05-20T00:00:00   \n",
       "16317  7C2z4GqqS5E  2018-05-20T00:00:00   \n",
       "16303  7C2z4GqqS5E  2018-05-20T00:00:00   \n",
       "16289  7C2z4GqqS5E  2018-05-20T00:00:00   \n",
       "14599  p8npDG2ulKQ  2018-05-08T00:00:00   \n",
       "\n",
       "                                                   title channel_title  \\\n",
       "16331                BTS (방탄소년단) 'FAKE LOVE' Official MV       ibighit   \n",
       "16317                BTS (방탄소년단) 'FAKE LOVE' Official MV       ibighit   \n",
       "16303                BTS (방탄소년단) 'FAKE LOVE' Official MV       ibighit   \n",
       "16289                BTS (방탄소년단) 'FAKE LOVE' Official MV       ibighit   \n",
       "14599  BTS (방탄소년단) LOVE YOURSELF 轉 Tear 'Singularity'...       ibighit   \n",
       "\n",
       "       category_id         publish_time  \\\n",
       "16331           10  2018-05-18T09:00:02   \n",
       "16317           10  2018-05-18T09:00:02   \n",
       "16303           10  2018-05-18T09:00:02   \n",
       "16289           10  2018-05-18T09:00:02   \n",
       "14599           10  2018-05-06T15:00:02   \n",
       "\n",
       "                                                    tags     views    likes  \\\n",
       "16331  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16317  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16303  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16289  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "14599   [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄\"]  15875379  2285436   \n",
       "\n",
       "       dislikes  ...  like_views_ratio time_till_trending  \\\n",
       "16331    119053  ...          0.071197    1 days 14:59:58   \n",
       "16317    119053  ...          0.071197    1 days 14:59:58   \n",
       "16303    119053  ...          0.071197    1 days 14:59:58   \n",
       "16289    119053  ...          0.071197    1 days 14:59:58   \n",
       "14599     19400  ...          0.143961    1 days 08:59:58   \n",
       "\n",
       "       hours_till_trending  days_till_trending                   kind  \\\n",
       "16331            38.999444            1.624977  youtube#videoCategory   \n",
       "16317            38.999444            1.624977  youtube#videoCategory   \n",
       "16303            38.999444            1.624977  youtube#videoCategory   \n",
       "16289            38.999444            1.624977  youtube#videoCategory   \n",
       "14599            32.999444            1.374977  youtube#videoCategory   \n",
       "\n",
       "                                                    etag  id  \\\n",
       "16331  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16317  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16303  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16289  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "14599  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "\n",
       "              snippet.channelId snippet.title  snippet.assignable  \n",
       "16331  UCBR8-60-B28hp2BmDPdntcQ         Music                True  \n",
       "16317  UCBR8-60-B28hp2BmDPdntcQ         Music                True  \n",
       "16303  UCBR8-60-B28hp2BmDPdntcQ         Music                True  \n",
       "16289  UCBR8-60-B28hp2BmDPdntcQ         Music                True  \n",
       "14599  UCBR8-60-B28hp2BmDPdntcQ         Music                True  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos.sort_values(by=['likes'], ascending=False).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fbceaeaa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>video_id</th>\n",
       "      <th>trending_date</th>\n",
       "      <th>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>category_id</th>\n",
       "      <th>publish_time</th>\n",
       "      <th>tags</th>\n",
       "      <th>views</th>\n",
       "      <th>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>...</th>\n",
       "      <th>like_views_ratio</th>\n",
       "      <th>time_till_trending</th>\n",
       "      <th>hours_till_trending</th>\n",
       "      <th>days_till_trending</th>\n",
       "      <th>kind</th>\n",
       "      <th>etag</th>\n",
       "      <th>id</th>\n",
       "      <th>snippet.channelId</th>\n",
       "      <th>snippet.title</th>\n",
       "      <th>snippet.assignable</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>16289</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16303</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16317</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16331</th>\n",
       "      <td>7C2z4GqqS5E</td>\n",
       "      <td>2018-05-20T00:00:00</td>\n",
       "      <td>BTS (방탄소년단) 'FAKE LOVE' Official MV</td>\n",
       "      <td>ibighit</td>\n",
       "      <td>10</td>\n",
       "      <td>2018-05-18T09:00:02</td>\n",
       "      <td>[BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...</td>\n",
       "      <td>62796390</td>\n",
       "      <td>4470923</td>\n",
       "      <td>119053</td>\n",
       "      <td>...</td>\n",
       "      <td>0.071197</td>\n",
       "      <td>1 days 14:59:58</td>\n",
       "      <td>38.999444</td>\n",
       "      <td>1.624977</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...</td>\n",
       "      <td>10</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Music</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12338</th>\n",
       "      <td>u9Mv98Gr5pY</td>\n",
       "      <td>2018-04-26T00:00:00</td>\n",
       "      <td>VENOM - Official Trailer (HD)</td>\n",
       "      <td>Sony Pictures Entertainment</td>\n",
       "      <td>24</td>\n",
       "      <td>2018-04-24T03:45:03</td>\n",
       "      <td>[Venom, \"Venom Movie\", \"Venom (2018)\", \"Marvel...</td>\n",
       "      <td>39128403</td>\n",
       "      <td>1077732</td>\n",
       "      <td>35764</td>\n",
       "      <td>...</td>\n",
       "      <td>0.027543</td>\n",
       "      <td>1 days 20:14:57</td>\n",
       "      <td>44.249167</td>\n",
       "      <td>1.843715</td>\n",
       "      <td>youtube#videoCategory</td>\n",
       "      <td>\"XI7nbFXulYBIpL0ayR_gDh3eu1k/UVB9oxX2Bvqa_w_y3...</td>\n",
       "      <td>24</td>\n",
       "      <td>UCBR8-60-B28hp2BmDPdntcQ</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          video_id        trending_date                                title  \\\n",
       "16289  7C2z4GqqS5E  2018-05-20T00:00:00  BTS (방탄소년단) 'FAKE LOVE' Official MV   \n",
       "16303  7C2z4GqqS5E  2018-05-20T00:00:00  BTS (방탄소년단) 'FAKE LOVE' Official MV   \n",
       "16317  7C2z4GqqS5E  2018-05-20T00:00:00  BTS (방탄소년단) 'FAKE LOVE' Official MV   \n",
       "16331  7C2z4GqqS5E  2018-05-20T00:00:00  BTS (방탄소년단) 'FAKE LOVE' Official MV   \n",
       "12338  u9Mv98Gr5pY  2018-04-26T00:00:00        VENOM - Official Trailer (HD)   \n",
       "\n",
       "                     channel_title  category_id         publish_time  \\\n",
       "16289                      ibighit           10  2018-05-18T09:00:02   \n",
       "16303                      ibighit           10  2018-05-18T09:00:02   \n",
       "16317                      ibighit           10  2018-05-18T09:00:02   \n",
       "16331                      ibighit           10  2018-05-18T09:00:02   \n",
       "12338  Sony Pictures Entertainment           24  2018-04-24T03:45:03   \n",
       "\n",
       "                                                    tags     views    likes  \\\n",
       "16289  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16303  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16317  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "16331  [BIGHIT, \"빅히트\", \"방탄소년단\", \"BTS\", \"BANGTAN\", \"방탄...  62796390  4470923   \n",
       "12338  [Venom, \"Venom Movie\", \"Venom (2018)\", \"Marvel...  39128403  1077732   \n",
       "\n",
       "       dislikes  ...  like_views_ratio time_till_trending  \\\n",
       "16289    119053  ...          0.071197    1 days 14:59:58   \n",
       "16303    119053  ...          0.071197    1 days 14:59:58   \n",
       "16317    119053  ...          0.071197    1 days 14:59:58   \n",
       "16331    119053  ...          0.071197    1 days 14:59:58   \n",
       "12338     35764  ...          0.027543    1 days 20:14:57   \n",
       "\n",
       "       hours_till_trending  days_till_trending                   kind  \\\n",
       "16289            38.999444            1.624977  youtube#videoCategory   \n",
       "16303            38.999444            1.624977  youtube#videoCategory   \n",
       "16317            38.999444            1.624977  youtube#videoCategory   \n",
       "16331            38.999444            1.624977  youtube#videoCategory   \n",
       "12338            44.249167            1.843715  youtube#videoCategory   \n",
       "\n",
       "                                                    etag  id  \\\n",
       "16289  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16303  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16317  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "16331  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/nqRIq97-xe5XRZTxb...  10   \n",
       "12338  \"XI7nbFXulYBIpL0ayR_gDh3eu1k/UVB9oxX2Bvqa_w_y3...  24   \n",
       "\n",
       "              snippet.channelId  snippet.title  snippet.assignable  \n",
       "16289  UCBR8-60-B28hp2BmDPdntcQ          Music                True  \n",
       "16303  UCBR8-60-B28hp2BmDPdntcQ          Music                True  \n",
       "16317  UCBR8-60-B28hp2BmDPdntcQ          Music                True  \n",
       "16331  UCBR8-60-B28hp2BmDPdntcQ          Music                True  \n",
       "12338  UCBR8-60-B28hp2BmDPdntcQ  Entertainment                True  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos.sort_values(by=['views'],ascending=False).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1732572a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "snippet.title\n",
       "Science & Technology    1.213748e+06\n",
       "Music                   8.297243e+05\n",
       "Comedy                  3.781614e+05\n",
       "Sports                  2.850889e+05\n",
       "Entertainment           2.821966e+05\n",
       "Name: views, dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos.groupby('snippet.title')['views'].mean().sort_values(ascending=False).head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fc826ec",
   "metadata": {},
   "source": [
    "Based on the previous analysis, amongst the previously trending videos, a significant portion is in  \"music\" category."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c4cdbf9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    3915.000000\n",
       "mean        0.015004\n",
       "std         0.020466\n",
       "min         0.000000\n",
       "25%         0.002627\n",
       "50%         0.006597\n",
       "75%         0.020536\n",
       "max         0.194951\n",
       "Name: like_views_ratio, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos[videos['snippet.title']=='People & Blogs']['like_views_ratio'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8831ff13",
   "metadata": {},
   "source": [
    "Now We try to determine the videos that were trending because of \"fake views\" (those with possibly flawed views), especially in \"people and blog\" catergory, by checking if some videos' like-view ratio is considered as outlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b17baf9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2287, 27)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fake = videos[(videos['snippet.title']=='People & Blogs')&(videos['like_views_ratio']<0.01)]\n",
    "fake.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f0e997ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x282e14f5ac0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x='likes',y='views',data=videos[videos['snippet.title']=='Entertainment'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1b95a861",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x282e14f7e60>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x='likes',y='views',data=videos[videos['snippet.title']=='People & Blogs'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2d1bec0d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 20505 entries, 0 to 20504\n",
      "Data columns (total 27 columns):\n",
      " #   Column                  Non-Null Count  Dtype          \n",
      "---  ------                  --------------  -----          \n",
      " 0   video_id                20505 non-null  object         \n",
      " 1   trending_date           20505 non-null  object         \n",
      " 2   title                   20505 non-null  object         \n",
      " 3   channel_title           20505 non-null  object         \n",
      " 4   category_id             20505 non-null  int64          \n",
      " 5   publish_time            20505 non-null  object         \n",
      " 6   tags                    20505 non-null  object         \n",
      " 7   views                   20505 non-null  int64          \n",
      " 8   likes                   20505 non-null  int64          \n",
      " 9   dislikes                20505 non-null  int64          \n",
      " 10  comment_count           20505 non-null  int64          \n",
      " 11  thumbnail_link          20505 non-null  object         \n",
      " 12  comments_disabled       20505 non-null  bool           \n",
      " 13  ratings_disabled        20505 non-null  bool           \n",
      " 14  video_error_or_removed  20505 non-null  bool           \n",
      " 15  description             18381 non-null  object         \n",
      " 16  like_dislike_ratio      19114 non-null  float64        \n",
      " 17  like_views_ratio        20505 non-null  float64        \n",
      " 18  time_till_trending      20505 non-null  timedelta64[ns]\n",
      " 19  hours_till_trending     20505 non-null  float64        \n",
      " 20  days_till_trending      20505 non-null  float64        \n",
      " 21  kind                    20505 non-null  object         \n",
      " 22  etag                    20505 non-null  object         \n",
      " 23  id                      20505 non-null  int64          \n",
      " 24  snippet.channelId       20505 non-null  object         \n",
      " 25  snippet.title           20505 non-null  object         \n",
      " 26  snippet.assignable      20505 non-null  bool           \n",
      "dtypes: bool(4), float64(4), int64(6), object(12), timedelta64[ns](1)\n",
      "memory usage: 3.7+ MB\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(x='likes',y='views',data=videos)\n",
    "videos.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88a97571",
   "metadata": {},
   "source": [
    "## What kind of videos are the \"most popular\" ones?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f00ed1b5",
   "metadata": {},
   "source": [
    "### Plots for Different Categories \n",
    "- Here we use aggregate heatmap to analyze the popularity of each catergory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ffd567d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "video_count_by_category = videos['category_id'].value_counts()\n",
    "\n",
    "# Plotting the bar chart\n",
    "plt.figure(figsize=(10, 6))\n",
    "current_palette = sns.color_palette(\"tab20\", n_colors=14) \n",
    "sns.barplot(x=video_count_by_category.index, y=video_count_by_category.values, hue=video_count_by_category.index, palette=current_palette) \n",
    "plt.title('Total Video Count by Different Category IDs')\n",
    "plt.xlabel('Category ID')\n",
    "plt.ylabel('Number of Videos')\n",
    "plt.xticks(rotation=45)  # Rotates the category ID labels for better readability\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a4e44827",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Aggregate total views by category_id\n",
    "total_views_by_category = videos.groupby('category_id')['views'].sum()\n",
    "\n",
    "# Sort the data for better visualization\n",
    "total_views_by_category = total_views_by_category.sort_values(ascending=False)\n",
    "\n",
    "# Plotting the bar chart\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.barplot(x=total_views_by_category.index, y=total_views_by_category.values, hue=total_views_by_category.index, palette=current_palette) \n",
    "plt.title('Total Views Count by Different Category IDs')\n",
    "plt.xlabel('Category ID')\n",
    "plt.ylabel('Total Views')\n",
    "plt.xticks(rotation=45)  # Rotates the category ID labels for better readability\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "5c683e8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Entertainment'], dtype=object)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos[videos['category_id'] == 24]['snippet.title'].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a4dcf36",
   "metadata": {},
   "source": [
    "Based on the histogram, videos in \"Music\" category have the greatest total views."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "19d4099d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For an Aggregated Heatmap, we first need to aggregate the data.\n",
    "# Let's create an aggregated DataFrame with mean views, likes, dislikes, and comment counts for each category\n",
    "\n",
    "# Aggregating the data\n",
    "agg_data = videos.groupby('category_id').agg({\n",
    "    'views': 'mean',\n",
    "    'likes': 'mean',\n",
    "    'dislikes': 'mean',\n",
    "    'comment_count': 'mean'\n",
    "}).reset_index()\n",
    "\n",
    "pivot_table = agg_data.pivot(index=\"category_id\", columns=\"views\", values=\"likes\")\n",
    "\n",
    "# Continue with your plotting code\n",
    "plt.figure(figsize=(12, 8))\n",
    "sns.heatmap(pivot_table, annot=True, fmt=\".0f\", cmap = 'coolwarm')\n",
    "plt.title(\"Heatmap of Average Likes by Category ID and Views\")\n",
    "plt.ylabel(\"Category ID\")\n",
    "plt.xlabel(\"Average Views\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0aefbd60",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Music'], dtype=object)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "videos[videos['category_id'] == 10]['snippet.title'].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b9f0abb",
   "metadata": {},
   "source": [
    "Based on the aggregate heatmap, videos in \"Music\" category tend to be those with the popular."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ec25810",
   "metadata": {},
   "source": [
    "### Linear Regression for Fraud Check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ca85c483",
   "metadata": {},
   "outputs": [],
   "source": [
    "# For music category\n",
    "df = videos[videos['snippet.title']=='Music']\n",
    "# df = videos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b141f5a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1678710.4584304 , 1985409.18248571,  576865.44128654]),\n",
       " 879282.0397286821)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "y = df['views']\n",
    "X = df[['likes','dislikes','comment_count']]\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=123)\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "scaler = StandardScaler()\n",
    "X_train = scaler.fit_transform(X_train)\n",
    "X_test = scaler.fit_transform(X_test)\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "lm = LinearRegression()\n",
    "lm.fit(X_train,y_train)\n",
    "lm.coef_, lm.intercept_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "7e398af2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Predicted Y')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred_1 = lm.predict(X_test)\n",
    "plt.scatter(y_test,pred_1,color=\"slateblue\")\n",
    "plt.xlabel('Y Test')\n",
    "plt.ylabel('Predicted Y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ce1bc887",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 791171311427.6908\n",
      "RMSE: 889478.1118317025\n"
     ]
    }
   ],
   "source": [
    "## RMSE\n",
    "from sklearn.metrics import mean_squared_error\n",
    "print(\"MSE:\",mean_squared_error(y_test,pred_1))\n",
    "print(\"RMSE:\",np.sqrt(mean_squared_error(y_test,pred_1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "110d9f5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9525663278976524"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## R^2\n",
    "from sklearn.metrics import r2_score\n",
    "r2_score(y_test, pred_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96537e56",
   "metadata": {},
   "source": [
    "### Identify Outliers and Remove Them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c5ca34c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculate residuals\n",
    "pred_df = lm.predict(X.values)  # Use training data for predictions\n",
    "residuals = y - pred_df  # Calculate residuals for the entire DataFrame\n",
    "\n",
    "# Set a threshold for identifying outliers (e.g., 3 standard deviations)\n",
    "threshold = 3 * np.std(residuals)\n",
    "\n",
    "# Identify outliers\n",
    "outliers = np.abs(residuals) > (threshold+np.mean(residuals))\n",
    "\n",
    "# Create a cleaned DataFrame (excluding outliers)\n",
    "df_clean = df[~outliers]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "8c1103a4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 954687579800.9286\n",
      "R^2: 0.7166970758420361\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y1 = df_clean['views']\n",
    "X1 = df_clean[['likes','dislikes','comment_count']]\n",
    "X1_train, X1_test, y1_train, y1_test = train_test_split(X1, y1, test_size=0.2, random_state=123)\n",
    "X1_train = scaler.fit_transform(X1_train)\n",
    "X1_test = scaler.fit_transform(X1_test)\n",
    "lm1 = LinearRegression()\n",
    "lm1.fit(X1_train,y1_train)\n",
    "pred_11 = lm1.predict(X1_test)\n",
    "plt.scatter(y1_test,pred_11, color=\"mediumpurple\")\n",
    "plt.xlabel('Y Test')\n",
    "plt.ylabel('Predicted Y')\n",
    "\n",
    "print(\"MSE:\",mean_squared_error(y1_test,pred_11))\n",
    "print(\"R^2:\",r2_score(y1_test, pred_11))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82f690db",
   "metadata": {},
   "source": [
    "We try to use different machine learning models to predict the trending status of videos. Models such as ridge regression, decision trees, and random forests were trained and evaluated. The performance of these models was measured using appropriate metrics to provide a robust framework for prediction."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4012cf5",
   "metadata": {},
   "source": [
    "### Decision Tree Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "ace6f224",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "dt = DecisionTreeRegressor(max_depth=10)\n",
    "dt.fit(X_train, y_train)\n",
    "pred_2 = dt.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "d14f519e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 757936993054.9852\n"
     ]
    }
   ],
   "source": [
    "# MSE\n",
    "print(\"MSE:\",mean_squared_error(y_test,pred_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "6b042d4c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9545588492864666"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# R^2\n",
    "r2_score(y_test, pred_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "f92447cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x28300eddd60>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xlabel('Y Test')\n",
    "plt.ylabel('Predicted Y')\n",
    "plt.scatter(y_test, pred_2, color=\"m\", label=\"max_depth=2\", linewidth=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a1f453d",
   "metadata": {},
   "source": [
    "### Random Forest Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "6b65c2e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "rf = RandomForestRegressor(random_state=123)\n",
    "rf.fit(X_train, y_train)\n",
    "pred_3 = rf.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "868cd137",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x28301031d00>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('Y Test')\n",
    "plt.ylabel('Predicted Y')\n",
    "plt.scatter(y_test, pred_3, color=\"purple\", linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ef9f6109",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.955550878511539"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## R^2\n",
    "r2_score(y_test, pred_3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22d0a05f",
   "metadata": {},
   "source": [
    "### Ridge Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "0cb64321",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.metrics import accuracy_score, roc_auc_score, classification_report, confusion_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "fa4104dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Standardize the data\n",
    "scaler = StandardScaler()\n",
    "X_train = scaler.fit_transform(X_train)\n",
    "X_test = scaler.transform(X_test)\n",
    "\n",
    "# Initialize the Ridge model\n",
    "rg = Ridge(alpha=1.0)  # Adjust alpha as needed\n",
    "\n",
    "# Train the model\n",
    "rg.fit(X_train, y_train)\n",
    "\n",
    "# Make predictions\n",
    "pred_4 = rg.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "1952b6bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2830358bd10>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('Y Test')\n",
    "plt.ylabel('Predicted Y')\n",
    "plt.scatter(y_test, pred_4, color=\"orchid\", linewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "616a53d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9525963263828874"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## R^2\n",
    "r2_score(y_test, pred_4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6a2955e",
   "metadata": {},
   "source": [
    "### 10-fold Cross Validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "8a668fbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7723659637449632"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.model_selection import cross_val_score\n",
    "\n",
    "# Linear model\n",
    "score_lm = cross_val_score(lm,X,y,cv=10)\n",
    "score_lm.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "26bd7897",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5014532073170431"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Decision tree regression\n",
    "score_dt = cross_val_score(dt,X,y,cv=10)\n",
    "score_dt.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "3d78c88f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5874674659994525"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Random forest regression\n",
    "score_dt = cross_val_score(rf,X,y,cv=10)\n",
    "score_dt.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "1e507908",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5874674659994525"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Lasso Regression\n",
    "score_dt = cross_val_score(rf,X,y,cv=10)\n",
    "score_dt.mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba17e41e",
   "metadata": {},
   "source": [
    "All the R^2 scores of the models are above 0.5, which acceptable for our purposes, especially since most of the explanatory variables are statistically significant.\n",
    "The linear regression model, with a mean R^2 score greater than 0.7 after 10 folds validation, seems to be the one with considerable significance describing how the'likes','dislikes','comment_count' of a video are correlated to its'view'."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8755490",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "83934193",
   "metadata": {},
   "source": [
    "# When would the video be trending?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "532043d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "popular = videos[ (videos['views']>=1000000)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "91caab06",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2830352c0b0>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(popular['publish_time'], alpha=0.5, label='publish_time')\n",
    "plt.hist(popular['trending_date'], alpha=0.5, label='trending_date')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "f796e4a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular['days_till_trending'].hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f2c1f2c",
   "metadata": {},
   "source": [
    "Most trending videos in Japan were on the trending board within 3 days after its publish time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "8591e5ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.082795635604581"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popular['days_till_trending'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "403f0635",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7291666666666666"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popular['days_till_trending'].median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "ecb7db8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.729167\n",
       "Name: days_till_trending, dtype: float64"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popular['days_till_trending'].mode()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "50256a4b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "News & Politics        0.8379629629629629\n",
      "Film & Animation       0.687494212962963\n",
      "Science & Technology   1.1228703703703704\n",
      "People & Blogs         1.0109027777777777\n",
      "Comedy                 0.8438888888888889\n",
      "Entertainment          0.6840277777777778\n",
      "Howto & Style          0.5371122685185186\n",
      "Autos & Vehicles       1.597037037037037\n",
      "Sports                 0.7689178240740742\n",
      "Music                  0.49997685185185187\n",
      "Gaming                 0.9085185185185185\n",
      "Education              0.3283449074074074\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 6))\n",
    "popular_time = []\n",
    "target_categories = videos['snippet.title'].unique()\n",
    "\n",
    "for category in target_categories:\n",
    "    popular = videos[(videos['snippet.title']==category) & (videos['views']>=1000000)]\n",
    "    if abs(popular['days_till_trending'].mean() - popular['days_till_trending'].median()) < 0.001:\n",
    "        # Remove outliers\n",
    "        continue\n",
    "    sns.kdeplot(popular['days_till_trending'], fill = True)\n",
    "    plt.legend(labels=videos['snippet.title'].unique())\n",
    "    print(category.ljust(22,\" \"), popular['days_till_trending'].median())\n",
    "    popular_time.append([category, popular['days_till_trending'].median()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "a71eebbc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>0.837963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Film &amp; Animation</td>\n",
       "      <td>0.687494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Science &amp; Technology</td>\n",
       "      <td>1.122870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>1.010903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Comedy</td>\n",
       "      <td>0.843889</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Entertainment</td>\n",
       "      <td>0.684028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Howto &amp; Style</td>\n",
       "      <td>0.537112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Autos &amp; Vehicles</td>\n",
       "      <td>1.597037</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Sports</td>\n",
       "      <td>0.768918</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Music</td>\n",
       "      <td>0.499977</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Gaming</td>\n",
       "      <td>0.908519</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Education</td>\n",
       "      <td>0.328345</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       0         1\n",
       "0        News & Politics  0.837963\n",
       "1       Film & Animation  0.687494\n",
       "2   Science & Technology  1.122870\n",
       "3         People & Blogs  1.010903\n",
       "4                 Comedy  0.843889\n",
       "5          Entertainment  0.684028\n",
       "6          Howto & Style  0.537112\n",
       "7       Autos & Vehicles  1.597037\n",
       "8                 Sports  0.768918\n",
       "9                  Music  0.499977\n",
       "10                Gaming  0.908519\n",
       "11             Education  0.328345"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popular_time = pd.DataFrame(popular_time)\n",
    "popular_time"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92e434c0",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3cd4c54",
   "metadata": {},
   "source": [
    "- Previous analysis implies that Youtube videos in the music category with certain tags are more likely to trend in Japan. Engagement metrics such as likes, dislikes, and number of comments have a significant impact on a video's trending potential. In addition, the time of release and the initial performance of the video play a critical role in its virality, as most popular videos start trending within 2 days of being uploaded."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "009607c6",
   "metadata": {},
   "source": [
    "## Reference"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36080b91",
   "metadata": {},
   "source": [
    "Data\n",
    "- [kaggle](https://www.kaggle.com/datasets/rsrishav/youtube-trending-video-dataset/data?select=JP_youtube_trending_data.csv)\n",
    "\n",
    "Algorithm and Methods\n",
    "- [Decision Tree](https://www.datacamp.com/tutorial/decision-tree-classification-python)\n",
    "- [Random Forest](https://www.geeksforgeeks.org/random-forest-regression-in-python/)\n",
    "- [kde plot](https://www.geeksforgeeks.org/random-forest-regression-in-python/)\n",
    "- Math 10 Course website"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "893d4e67",
   "metadata": {},
   "source": [
    "Thanks for reading :)"
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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