FinalProject_group073.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# COGS 108 Final Project - Spring 2019\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Group Members and Contributions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### - Abigail Diamse XXXXXXXXX\n",
    "Intro & Background, Data Visualization, Conclusion\n",
    "### - Fangyu Liu XXXXXXXXX \n",
    "Data Cleaning, Data Visualization,Privacy/ethical considerations\n",
    "### - Weisi Luo XXXXXXXXX \n",
    "Data Visualization, Data Analysis, Privacy/ethical considerations,Conclusion\n",
    "### - Prasen Shakya XXXXXXXXX \n",
    "Intro & Background, Data Cleaning, Data Visualization,Data Analysis\n",
    "### - Yanyu Tao XXXXXXXXX  \n",
    "Data Visualization, Data Analysis, Privacy/ethical considerations\n",
    "### - Yuhua Xu XXXXXXXXX \n",
    "Data Cleaning, Data Visualization, Discussion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Considering that Youtube is a constantly growing website with billions of videos being uploaded every day, many wonder what factors decide which videos end up viral, what leads to videos becoming number 1 on the website, etc. As Youtube has a vast audience of different age groups, cultures, backgrounds, etc., the number of views that video gets could be an indicator as to its popularity especially within their specific genres. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Background and Prior Work\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1. “Youtube and the Dynamics of the Participatory Culture”\n",
    "http://eprints.qut.edu.au/18431/1/18431.pdf\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Summary of prior work: \n",
    "This essay defines the term “viral” and compares it to a definition of the word “meme” so to be able to correlate the two together. By doing so, the essay is able to explore a video’s ability to incorporate itself into popular culture through its “spreadability”. As a video begins to gain traction from the masses of the media, it starts being “reuse[d], rework[ed] and redistribut[ed]” further into popular culture, in which its content evolves to have different interpreted meanings, reaching even more audiences, and becoming its own subculture of influence all through this spreadability. More or less, this is how the concept of “participatory culture” is defined, where as a popular video becomes “viral”, people begin to participate more in its trend and not only watch it a multitude of times but also contribute to the subculture that is started by the video itself.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### How we plan to expand on this: \n",
    "We plan to explore different trends within several different genres in Youtube in an attempt to see a relationship between the popularity of a video different trends that occur. The concept of “Participatory Culture” is the idea that people are jumping onto trends that at popularity at the time, thus increasing the potential of those videos to become more popular. Thus, we plan to find and make visual this relationship. \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.“On the prediction of popularity of trends and hits for user generated videos”\n",
    "https://dl.acm.org/citation.cfm?id=2433489"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Summary of prior work: \n",
    "The paper in this academic journal delves into the topic of predicting trending popularity in user generated content using data from both Youtube and Vimeo. The researchers intend to expand on the existing research on this topic where previous papers’ results failed to account for temporal data of individual videos popularity evaluation curve (or trend). At the time of this paper’s release the researchers believed they were the first to “extend these models to predict not only popularity measures at specific target dates but also the popularity evolution trend (or curve)” for videos. They intended to outline their work by adressing general popularity trends, putting quantitative data for the relationship between user generated content “features” and popularity trends, also essesing previous modles used for predicting popularity trends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### How we plan to expand on this: \n",
    "We plan to present the performance of different genres of videos using prediction models. We will evaluate the prediction models on a random sample of Youtube videos\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Research Question"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### What are the most influential elements that define a successful trending Youtube video in the US?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hypothesis\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We predict the relationship between genres/categories of the videos are directional to the popularity and user-engagement of the videos. The popularity of the videos will be measured by looking into the relationships between the views, likes vs. dislikes, number of comments. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data Description\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Datasets\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dataset Name: Trending YouTube Video Statistics \n",
    "Link to the dataset: https://www.kaggle.com/datasnaek/youtube-new\n",
    "\n",
    "The datasets concludes the trending youtube video data, which contains 5 csv files and 5 json files(for 5 different regions). The number of observations in our dataset is 40379. It shows the information about titles, channel names, categories of the videos, etc. \n",
    "For our project, we choose these elements as columns of the dataframe: video_title, hannel_title, publish_time, trending_date, tags, views, likes, dislikes, comment_count, category.\n",
    "We plan to use one csv file called “USvideos.csv” as our dataset and see how the correlation between these factors of video titles, channels, categories, publish time, number of likes and dislikes, tags of the video will influence the popularity.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import packages\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import json\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm\n",
    "from sklearn.preprocessing import PolynomialFeatures \n",
    "from sklearn.linear_model import LinearRegression \n",
    "import math\n",
    "import seaborn as sns\n",
    "from collections import Counter\n",
    "\n",
    "import patsy\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as stats\n",
    "from scipy.stats import ttest_ind, chisquare, normaltest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read csv file into 'csv'\n",
    "\n",
    "csv = pd.read_csv('USvideos.csv')\n",
    "\n",
    "typeofid = {}\n",
    "\n",
    "with open(\"US_category_id.json\", 'r') as f:\n",
    "    json_data = json.load(f)\n",
    "    for index in json_data['items']:\n",
    "        typeofid[index['id']] = index['snippet']['title']\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "## Data Cleaning/Pre-processing\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "idnum = list(typeofid.keys())\n",
    "\n",
    "category = []\n",
    "for i in typeofid.keys():\n",
    "    category.append(typeofid[i])\n",
    "    \n",
    "d = {'category_id': idnum, 'category':category}\n",
    "df = pd.DataFrame(data = d)\n",
    "df['category_id'] = df.category_id.apply(lambda x: int(x))\n",
    "    \n",
    "merged = csv.merge(df, on = 'category_id')\n",
    "\n",
    "# df is the main dataframe\n",
    "df = merged.drop(['thumbnail_link', 'comments_disabled', 'ratings_disabled', 'video_error_or_removed', 'description'], axis = 1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create data frame that will be merged"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "df['publish_time'] = pd.to_datetime(df['publish_time'], errors='coerce', format='%Y-%m-%dT%H:%M:%S.%fZ')\n",
    "df['trending_date'] = pd.to_datetime(df['trending_date'], errors='coerce', format='%y.%d.%m')\n",
    "df['trending_date'] = pd.to_datetime(df['trending_date']).dt.date\n",
    "df['publish_time'] = df['publish_time'].dt.date\n",
    "df = df.rename(columns = {'publish_time' : 'publish_date'})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reformatting date of publish_time and trending_date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>publish_date</th>\n",
       "      <th>trending_date</th>\n",
       "      <th>views</th>\n",
       "      <th>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>comment_count</th>\n",
       "      <th>category</th>\n",
       "      <th>category_id</th>\n",
       "      <th>tags</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2kyS6SvSYSE</td>\n",
       "      <td>WE WANT TO TALK ABOUT OUR MARRIAGE</td>\n",
       "      <td>CaseyNeistat</td>\n",
       "      <td>2017-11-13</td>\n",
       "      <td>2017-11-14</td>\n",
       "      <td>748374</td>\n",
       "      <td>57527</td>\n",
       "      <td>2966</td>\n",
       "      <td>15954</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>22</td>\n",
       "      <td>SHANtell martin</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0mlNzVSJrT0</td>\n",
       "      <td>Me-O Cats Commercial</td>\n",
       "      <td>Nobrand</td>\n",
       "      <td>2017-04-21</td>\n",
       "      <td>2017-11-14</td>\n",
       "      <td>98966</td>\n",
       "      <td>2486</td>\n",
       "      <td>184</td>\n",
       "      <td>532</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>22</td>\n",
       "      <td>cute|\"cats\"|\"thai\"|\"eggs\"</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>STI2fI7sKMo</td>\n",
       "      <td>AFFAIRS, EX BOYFRIENDS, $18MILLION NET WORTH -...</td>\n",
       "      <td>Shawn Johnson East</td>\n",
       "      <td>2017-11-11</td>\n",
       "      <td>2017-11-14</td>\n",
       "      <td>321053</td>\n",
       "      <td>4451</td>\n",
       "      <td>1772</td>\n",
       "      <td>895</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>22</td>\n",
       "      <td>shawn johnson|\"andrew east\"|\"shawn east\"|\"shaw...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>KODzih-pYlU</td>\n",
       "      <td>BLIND(folded) CAKE DECORATING CONTEST (with Mo...</td>\n",
       "      <td>Grace Helbig</td>\n",
       "      <td>2017-11-11</td>\n",
       "      <td>2017-11-14</td>\n",
       "      <td>197062</td>\n",
       "      <td>7250</td>\n",
       "      <td>217</td>\n",
       "      <td>456</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>22</td>\n",
       "      <td>itsgrace|\"funny\"|\"comedy\"|\"vlog\"|\"grace\"|\"helb...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>8mhTWqWlQzU</td>\n",
       "      <td>Wearing Online Dollar Store Makeup For A Week</td>\n",
       "      <td>Safiya Nygaard</td>\n",
       "      <td>2017-11-11</td>\n",
       "      <td>2017-11-14</td>\n",
       "      <td>2744430</td>\n",
       "      <td>115426</td>\n",
       "      <td>1110</td>\n",
       "      <td>6541</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>22</td>\n",
       "      <td>wearing online dollar store makeup for a week|...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video_id                                              title  \\\n",
       "0  2kyS6SvSYSE                 WE WANT TO TALK ABOUT OUR MARRIAGE   \n",
       "1  0mlNzVSJrT0                               Me-O Cats Commercial   \n",
       "2  STI2fI7sKMo  AFFAIRS, EX BOYFRIENDS, $18MILLION NET WORTH -...   \n",
       "3  KODzih-pYlU  BLIND(folded) CAKE DECORATING CONTEST (with Mo...   \n",
       "4  8mhTWqWlQzU      Wearing Online Dollar Store Makeup For A Week   \n",
       "\n",
       "        channel_title publish_date trending_date    views   likes  dislikes  \\\n",
       "0        CaseyNeistat   2017-11-13    2017-11-14   748374   57527      2966   \n",
       "1             Nobrand   2017-04-21    2017-11-14    98966    2486       184   \n",
       "2  Shawn Johnson East   2017-11-11    2017-11-14   321053    4451      1772   \n",
       "3        Grace Helbig   2017-11-11    2017-11-14   197062    7250       217   \n",
       "4      Safiya Nygaard   2017-11-11    2017-11-14  2744430  115426      1110   \n",
       "\n",
       "   comment_count        category  category_id  \\\n",
       "0          15954  People & Blogs           22   \n",
       "1            532  People & Blogs           22   \n",
       "2            895  People & Blogs           22   \n",
       "3            456  People & Blogs           22   \n",
       "4           6541  People & Blogs           22   \n",
       "\n",
       "                                                tags  \n",
       "0                                    SHANtell martin  \n",
       "1                          cute|\"cats\"|\"thai\"|\"eggs\"  \n",
       "2  shawn johnson|\"andrew east\"|\"shawn east\"|\"shaw...  \n",
       "3  itsgrace|\"funny\"|\"comedy\"|\"vlog\"|\"grace\"|\"helb...  \n",
       "4  wearing online dollar store makeup for a week|...  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df[['video_id','title','channel_title','publish_date','trending_date','views','likes','dislikes','comment_count','category','category_id','tags']]\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visually pleasing arrangement of columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "tags = pd.DataFrame(df[['tags']])\n",
    "\n",
    "# Prepare dataframe for cleaning tags\n",
    "# Add new column for split tags\n",
    "tags_series = tags['tags'].str.split(pat=\"|\")\n",
    "tags['tags_split'] = tags_series\n",
    "\n",
    "# Add new column for clean & split tags\n",
    "tags['tags_cleaned'] = tags['tags_split'].apply(lambda ss: [s.strip('\"') for s in ss])\n",
    "\n",
    "df['tags'] = tags['tags_cleaned']\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tags cleaned and turned into lists for easy access"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "tags_list = []\n",
    "for s in tags['tags_cleaned']:\n",
    "    tags_list.extend(s)\n",
    "\n",
    "tags_list = list(set(tags_list))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create list of all tags"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "first_occ = df.sort_values('trending_date').drop_duplicates(subset = ['video_id'], keep = 'first')\n",
    "\n",
    "last_occ = df.sort_values('trending_date').drop_duplicates(subset = ['video_id'], keep = 'last')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def user_engagement(like,comment,views,dislike):\n",
    "    return ((like + comment + dislike)*100/views)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Two dataframes with entries for when video first trended and last trended"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "ft = first_occ.copy(deep=True)\n",
    "lt = last_occ.copy(deep=True)\n",
    "\n",
    "ft.set_index('video_id', inplace=True)\n",
    "lt.set_index('video_id', inplace=True)\n",
    "\n",
    "td = pd.DataFrame(ft[['title', 'channel_title', 'publish_date','category','category_id']])\n",
    "\n",
    "# td.rename(columns={'trending_date' : 'first_trend', 'views' : 'first_views', 'likes' : 'first_likes', 'dislikes' : 'first_dislikes', 'comment_count' : 'first_comments'})\n",
    "\n",
    "td['first_trend'] = ft['trending_date']\n",
    "td['first_views'] = ft['views']\n",
    "td['first_likes'] = ft['likes']\n",
    "td['first_dislikes'] = ft['dislikes']\n",
    "td['first_comments'] = ft['comment_count']\n",
    "\n",
    "\n",
    "td['last_trend'] = lt['trending_date']\n",
    "td['last_views'] = lt['views']\n",
    "td['last_likes'] = lt['likes']\n",
    "td['last_dislikes'] = lt['dislikes']\n",
    "td['last_comments'] = lt['comment_count']\n",
    "\n",
    "td['trend_dur'] = td['last_trend'] - td['first_trend']\n",
    "td['view_diff'] = td['last_views'] - td['first_views']\n",
    "td['publish_trend'] = td['first_trend']-td['publish_date']\n",
    "\n",
    "td['trend_dur'] = td['trend_dur'].astype(str)\n",
    "td['trend_dur'] = td['trend_dur'].apply(lambda x: x.split(' ')[0])\n",
    "td['trend_dur'] = td['trend_dur'].astype(int) + 1\n",
    "\n",
    "td['publish_trend'] = td['publish_trend'].astype(str)\n",
    "td['publish_trend'] = td['publish_trend'].apply(lambda x: x.split(' ')[0])\n",
    "td['publish_trend'] = td['publish_trend'].astype(int) + 1\n",
    "td['first_engagement'] = user_engagement(td['first_likes'],td['first_comments'],td['first_views'],td['first_dislikes'])\n",
    "td['last_engagement'] = user_engagement(td['last_likes'],td['last_comments'],td['last_views'],td['last_dislikes'])\n",
    "\n",
    "td = td[['title', 'channel_title', 'category','category_id','first_engagement','last_engagement','publish_trend','publish_date','first_trend', 'last_trend', 'trend_dur', 'first_views', 'last_views', 'view_diff', 'first_likes', 'last_likes', 'first_dislikes', 'last_dislikes', 'first_comments', 'last_comments']]\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Creating dataframe for comparison over different variables on video's first trend date and last trend date"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>category</th>\n",
       "      <th>category_id</th>\n",
       "      <th>first_engagement</th>\n",
       "      <th>last_engagement</th>\n",
       "      <th>publish_trend</th>\n",
       "      <th>publish_date</th>\n",
       "      <th>first_trend</th>\n",
       "      <th>last_trend</th>\n",
       "      <th>trend_dur</th>\n",
       "      <th>first_views</th>\n",
       "      <th>last_views</th>\n",
       "      <th>view_diff</th>\n",
       "      <th>first_likes</th>\n",
       "      <th>last_likes</th>\n",
       "      <th>first_dislikes</th>\n",
       "      <th>last_dislikes</th>\n",
       "      <th>first_comments</th>\n",
       "      <th>last_comments</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>video_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>kZete48ZtsY</th>\n",
       "      <td>Roger Federer 20th Grand Slam Victory Tribute</td>\n",
       "      <td>ATPWorldTour</td>\n",
       "      <td>Sports</td>\n",
       "      <td>17</td>\n",
       "      <td>4.252164</td>\n",
       "      <td>0.954198</td>\n",
       "      <td>2</td>\n",
       "      <td>2018-01-28</td>\n",
       "      <td>2018-01-29</td>\n",
       "      <td>2018-02-03</td>\n",
       "      <td>6</td>\n",
       "      <td>33042</td>\n",
       "      <td>2620</td>\n",
       "      <td>-30422</td>\n",
       "      <td>1297</td>\n",
       "      <td>8</td>\n",
       "      <td>12</td>\n",
       "      <td>12</td>\n",
       "      <td>96</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6DuLfoU3apA</th>\n",
       "      <td>Urban opera singer</td>\n",
       "      <td>Marcos Horacio</td>\n",
       "      <td>Sports</td>\n",
       "      <td>17</td>\n",
       "      <td>1.160299</td>\n",
       "      <td>2.324638</td>\n",
       "      <td>3</td>\n",
       "      <td>2018-01-19</td>\n",
       "      <td>2018-01-21</td>\n",
       "      <td>2018-01-24</td>\n",
       "      <td>4</td>\n",
       "      <td>13531</td>\n",
       "      <td>7399</td>\n",
       "      <td>-6132</td>\n",
       "      <td>136</td>\n",
       "      <td>148</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>16</td>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1L_fPteZOYQ</th>\n",
       "      <td>Learn to Juggle 5 Balls in 1 Month || Max's Mo...</td>\n",
       "      <td>Max Hertan</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>24</td>\n",
       "      <td>1.523504</td>\n",
       "      <td>1.893287</td>\n",
       "      <td>15</td>\n",
       "      <td>2018-01-03</td>\n",
       "      <td>2018-01-17</td>\n",
       "      <td>2018-01-20</td>\n",
       "      <td>4</td>\n",
       "      <td>9977</td>\n",
       "      <td>8715</td>\n",
       "      <td>-1262</td>\n",
       "      <td>120</td>\n",
       "      <td>129</td>\n",
       "      <td>11</td>\n",
       "      <td>15</td>\n",
       "      <td>21</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tySwY8qXwbQ</th>\n",
       "      <td>Never Bet Your Money On Another Man's Game</td>\n",
       "      <td>Spinach Dippa</td>\n",
       "      <td>Music</td>\n",
       "      <td>10</td>\n",
       "      <td>2.726124</td>\n",
       "      <td>2.821650</td>\n",
       "      <td>6</td>\n",
       "      <td>2018-01-26</td>\n",
       "      <td>2018-01-31</td>\n",
       "      <td>2018-02-01</td>\n",
       "      <td>2</td>\n",
       "      <td>56197</td>\n",
       "      <td>55464</td>\n",
       "      <td>-733</td>\n",
       "      <td>1108</td>\n",
       "      <td>1138</td>\n",
       "      <td>211</td>\n",
       "      <td>214</td>\n",
       "      <td>213</td>\n",
       "      <td>213</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>OBLeg0CvHek</th>\n",
       "      <td>The best places to watch the Falcon Heavy launch!</td>\n",
       "      <td>Everyday Astronaut</td>\n",
       "      <td>Science &amp; Technology</td>\n",
       "      <td>28</td>\n",
       "      <td>2.821226</td>\n",
       "      <td>2.871075</td>\n",
       "      <td>6</td>\n",
       "      <td>2018-02-02</td>\n",
       "      <td>2018-02-07</td>\n",
       "      <td>2018-02-09</td>\n",
       "      <td>3</td>\n",
       "      <td>125052</td>\n",
       "      <td>124483</td>\n",
       "      <td>-569</td>\n",
       "      <td>3004</td>\n",
       "      <td>3036</td>\n",
       "      <td>64</td>\n",
       "      <td>64</td>\n",
       "      <td>460</td>\n",
       "      <td>474</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                         title  \\\n",
       "video_id                                                         \n",
       "kZete48ZtsY      Roger Federer 20th Grand Slam Victory Tribute   \n",
       "6DuLfoU3apA                                 Urban opera singer   \n",
       "1L_fPteZOYQ  Learn to Juggle 5 Balls in 1 Month || Max's Mo...   \n",
       "tySwY8qXwbQ         Never Bet Your Money On Another Man's Game   \n",
       "OBLeg0CvHek  The best places to watch the Falcon Heavy launch!   \n",
       "\n",
       "                  channel_title              category  category_id  \\\n",
       "video_id                                                             \n",
       "kZete48ZtsY        ATPWorldTour                Sports           17   \n",
       "6DuLfoU3apA      Marcos Horacio                Sports           17   \n",
       "1L_fPteZOYQ          Max Hertan         Entertainment           24   \n",
       "tySwY8qXwbQ       Spinach Dippa                 Music           10   \n",
       "OBLeg0CvHek  Everyday Astronaut  Science & Technology           28   \n",
       "\n",
       "             first_engagement  last_engagement  publish_trend publish_date  \\\n",
       "video_id                                                                     \n",
       "kZete48ZtsY          4.252164         0.954198              2   2018-01-28   \n",
       "6DuLfoU3apA          1.160299         2.324638              3   2018-01-19   \n",
       "1L_fPteZOYQ          1.523504         1.893287             15   2018-01-03   \n",
       "tySwY8qXwbQ          2.726124         2.821650              6   2018-01-26   \n",
       "OBLeg0CvHek          2.821226         2.871075              6   2018-02-02   \n",
       "\n",
       "            first_trend  last_trend  trend_dur  first_views  last_views  \\\n",
       "video_id                                                                  \n",
       "kZete48ZtsY  2018-01-29  2018-02-03          6        33042        2620   \n",
       "6DuLfoU3apA  2018-01-21  2018-01-24          4        13531        7399   \n",
       "1L_fPteZOYQ  2018-01-17  2018-01-20          4         9977        8715   \n",
       "tySwY8qXwbQ  2018-01-31  2018-02-01          2        56197       55464   \n",
       "OBLeg0CvHek  2018-02-07  2018-02-09          3       125052      124483   \n",
       "\n",
       "             view_diff  first_likes  last_likes  first_dislikes  \\\n",
       "video_id                                                          \n",
       "kZete48ZtsY     -30422         1297           8              12   \n",
       "6DuLfoU3apA      -6132          136         148               5   \n",
       "1L_fPteZOYQ      -1262          120         129              11   \n",
       "tySwY8qXwbQ       -733         1108        1138             211   \n",
       "OBLeg0CvHek       -569         3004        3036              64   \n",
       "\n",
       "             last_dislikes  first_comments  last_comments  \n",
       "video_id                                                   \n",
       "kZete48ZtsY             12              96              5  \n",
       "6DuLfoU3apA              7              16             17  \n",
       "1L_fPteZOYQ             15              21             21  \n",
       "tySwY8qXwbQ            214             213            213  \n",
       "OBLeg0CvHek             64             460            474  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "td.sort_values('view_diff', ascending=True).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#drop the cells with negative view_diff \n",
    "\n",
    "td = td[td['view_diff']>=0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>channel_title</th>\n",
       "      <th>category</th>\n",
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       "    <tr>\n",
       "      <th>8O-ZUXGcuWU</th>\n",
       "      <td>Nintendo @ E3 2018: Day 2</td>\n",
       "      <td>Nintendo</td>\n",
       "      <td>Gaming</td>\n",
       "      <td>20</td>\n",
       "      <td>1.596981</td>\n",
       "      <td>1.596981</td>\n",
       "      <td>1</td>\n",
       "      <td>2018-06-14</td>\n",
       "      <td>2018-06-14</td>\n",
       "      <td>2018-06-14</td>\n",
       "      <td>1</td>\n",
       "      <td>1549110</td>\n",
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       "      <td>0</td>\n",
       "      <td>21905</td>\n",
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       "      <td>1516</td>\n",
       "      <td>1516</td>\n",
       "      <td>1318</td>\n",
       "      <td>1318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Qf24J2Twws4</th>\n",
       "      <td>Troye Sivan My My My! Official Lyrics &amp; Meanin...</td>\n",
       "      <td>Genius</td>\n",
       "      <td>Music</td>\n",
       "      <td>10</td>\n",
       "      <td>8.336978</td>\n",
       "      <td>8.336978</td>\n",
       "      <td>7</td>\n",
       "      <td>2018-01-26</td>\n",
       "      <td>2018-02-01</td>\n",
       "      <td>2018-02-01</td>\n",
       "      <td>1</td>\n",
       "      <td>205770</td>\n",
       "      <td>205770</td>\n",
       "      <td>0</td>\n",
       "      <td>16055</td>\n",
       "      <td>16055</td>\n",
       "      <td>200</td>\n",
       "      <td>200</td>\n",
       "      <td>900</td>\n",
       "      <td>900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>HEuJgDU68wo</th>\n",
       "      <td>This Is Us 2x14 Promo Super Bowl Sunday (HD)</td>\n",
       "      <td>TV Promos</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>24</td>\n",
       "      <td>0.787092</td>\n",
       "      <td>0.787092</td>\n",
       "      <td>8</td>\n",
       "      <td>2018-01-24</td>\n",
       "      <td>2018-01-31</td>\n",
       "      <td>2018-01-31</td>\n",
       "      <td>1</td>\n",
       "      <td>234280</td>\n",
       "      <td>234280</td>\n",
       "      <td>0</td>\n",
       "      <td>1349</td>\n",
       "      <td>1349</td>\n",
       "      <td>7</td>\n",
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       "      <td>488</td>\n",
       "      <td>488</td>\n",
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       "    <tr>\n",
       "      <th>7FceZB6qMiA</th>\n",
       "      <td>Kyrie Irving and Stephen Curry Duel at Oracle ...</td>\n",
       "      <td>NBA</td>\n",
       "      <td>Sports</td>\n",
       "      <td>17</td>\n",
       "      <td>2.246365</td>\n",
       "      <td>2.246365</td>\n",
       "      <td>4</td>\n",
       "      <td>2018-01-28</td>\n",
       "      <td>2018-01-31</td>\n",
       "      <td>2018-01-31</td>\n",
       "      <td>1</td>\n",
       "      <td>155006</td>\n",
       "      <td>155006</td>\n",
       "      <td>0</td>\n",
       "      <td>2607</td>\n",
       "      <td>2607</td>\n",
       "      <td>43</td>\n",
       "      <td>43</td>\n",
       "      <td>832</td>\n",
       "      <td>832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>oWithLP0VlQ</th>\n",
       "      <td>#AboveTheNoise feat. Serena Williams, Neymar J...</td>\n",
       "      <td>Beats by Dre</td>\n",
       "      <td>Music</td>\n",
       "      <td>10</td>\n",
       "      <td>0.385920</td>\n",
       "      <td>0.385920</td>\n",
       "      <td>8</td>\n",
       "      <td>2017-11-22</td>\n",
       "      <td>2017-11-29</td>\n",
       "      <td>2017-11-29</td>\n",
       "      <td>1</td>\n",
       "      <td>2152261</td>\n",
       "      <td>2152261</td>\n",
       "      <td>0</td>\n",
       "      <td>7824</td>\n",
       "      <td>7824</td>\n",
       "      <td>158</td>\n",
       "      <td>158</td>\n",
       "      <td>324</td>\n",
       "      <td>324</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      ],
      "text/plain": [
       "                                                         title channel_title  \\\n",
       "video_id                                                                       \n",
       "8O-ZUXGcuWU                          Nintendo @ E3 2018: Day 2      Nintendo   \n",
       "Qf24J2Twws4  Troye Sivan My My My! Official Lyrics & Meanin...        Genius   \n",
       "HEuJgDU68wo       This Is Us 2x14 Promo Super Bowl Sunday (HD)     TV Promos   \n",
       "7FceZB6qMiA  Kyrie Irving and Stephen Curry Duel at Oracle ...           NBA   \n",
       "oWithLP0VlQ  #AboveTheNoise feat. Serena Williams, Neymar J...  Beats by Dre   \n",
       "\n",
       "                  category  category_id  first_engagement  last_engagement  \\\n",
       "video_id                                                                     \n",
       "8O-ZUXGcuWU         Gaming           20          1.596981         1.596981   \n",
       "Qf24J2Twws4          Music           10          8.336978         8.336978   \n",
       "HEuJgDU68wo  Entertainment           24          0.787092         0.787092   \n",
       "7FceZB6qMiA         Sports           17          2.246365         2.246365   \n",
       "oWithLP0VlQ          Music           10          0.385920         0.385920   \n",
       "\n",
       "             publish_trend publish_date first_trend  last_trend  trend_dur  \\\n",
       "video_id                                                                     \n",
       "8O-ZUXGcuWU              1   2018-06-14  2018-06-14  2018-06-14          1   \n",
       "Qf24J2Twws4              7   2018-01-26  2018-02-01  2018-02-01          1   \n",
       "HEuJgDU68wo              8   2018-01-24  2018-01-31  2018-01-31          1   \n",
       "7FceZB6qMiA              4   2018-01-28  2018-01-31  2018-01-31          1   \n",
       "oWithLP0VlQ              8   2017-11-22  2017-11-29  2017-11-29          1   \n",
       "\n",
       "             first_views  last_views  view_diff  first_likes  last_likes  \\\n",
       "video_id                                                                   \n",
       "8O-ZUXGcuWU      1549110     1549110          0        21905       21905   \n",
       "Qf24J2Twws4       205770      205770          0        16055       16055   \n",
       "HEuJgDU68wo       234280      234280          0         1349        1349   \n",
       "7FceZB6qMiA       155006      155006          0         2607        2607   \n",
       "oWithLP0VlQ      2152261     2152261          0         7824        7824   \n",
       "\n",
       "             first_dislikes  last_dislikes  first_comments  last_comments  \n",
       "video_id                                                                   \n",
       "8O-ZUXGcuWU            1516           1516            1318           1318  \n",
       "Qf24J2Twws4             200            200             900            900  \n",
       "HEuJgDU68wo               7              7             488            488  \n",
       "7FceZB6qMiA              43             43             832            832  \n",
       "oWithLP0VlQ             158            158             324            324  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "td.sort_values('view_diff', ascending=True).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 25 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [10, 10])\n",
    "df1 = td[['category_id','view_diff','first_likes','publish_trend','first_views']]\n",
    "pd.plotting.scatter_matrix(df1)\n",
    "f4 = plt.gcf()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Data Visualization\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>views</th>\n",
       "      <th>comment_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>likes</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.447186</td>\n",
       "      <td>0.849177</td>\n",
       "      <td>0.803057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dislikes</th>\n",
       "      <td>0.447186</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.472213</td>\n",
       "      <td>0.700184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>views</th>\n",
       "      <td>0.849177</td>\n",
       "      <td>0.472213</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.617621</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>comment_count</th>\n",
       "      <td>0.803057</td>\n",
       "      <td>0.700184</td>\n",
       "      <td>0.617621</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  likes  dislikes     views  comment_count\n",
       "likes          1.000000  0.447186  0.849177       0.803057\n",
       "dislikes       0.447186  1.000000  0.472213       0.700184\n",
       "views          0.849177  0.472213  1.000000       0.617621\n",
       "comment_count  0.803057  0.700184  0.617621       1.000000"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plotring process the Heatmaps of Correlation\n",
    "# only picking up these variables to find the correlations\n",
    "# picking up four columns including \"likes\", \"dislikes\", \"views\" and \"comment number\" as variables\n",
    "\n",
    "# The mattrix of correlation\n",
    "new_cols = ['likes','dislikes', 'views', 'comment_count']\n",
    "corr_matrix = df[new_cols].corr()\n",
    "corr_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.plot(*args, scalex=True, scaley=True, data=None, **kwargs)>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot Heatmap\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax = sns.heatmap(corr_matrix, vmin=0, vmax=1, center=0.5, cmap=sns.diverging_palette(20, 220, n=200), square=True)\n",
    "ax.set_xticklabels(ax.get_xticklabels(), rotation=45, horizontalalignment='right');\n",
    "ax.set_yticklabels(ax.get_yticklabels(), rotation=45, horizontalalignment='right');\n",
    "plt.plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Relationship between categories and different variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'The Number of Videos in Different Categories')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# an overview between number of videos and category\n",
    "#first we get the number of videos in different categories by using 'groupby' function\n",
    "video_num = last_occ.groupby('category')['video_id'].agg('count')\n",
    "video_num = video_num.sort_values(ascending=False)\n",
    "video_num = video_num.reset_index()\n",
    "video_num.columns = ['category','video_num']\n",
    "# use 'barplot' in seaborn to get the plot\n",
    "# x axis means the number of videos\n",
    "# y axis means categories\n",
    "sns.barplot(x=\"video_num\", y=\"category\", data = video_num)\n",
    "plt.plot\n",
    "plt.title(\"The Number of Videos in Different Categories\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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>likes</th>\n",
       "      <th>dislikes</th>\n",
       "      <th>views</th>\n",
       "      <th>comment_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>likes</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.420619</td>\n",
       "      <td>0.834639</td>\n",
       "      <td>0.765288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dislikes</th>\n",
       "      <td>0.420619</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.441923</td>\n",
       "      <td>0.734943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>views</th>\n",
       "      <td>0.834639</td>\n",
       "      <td>0.441923</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.573885</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>comment_count</th>\n",
       "      <td>0.765288</td>\n",
       "      <td>0.734943</td>\n",
       "      <td>0.573885</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  likes  dislikes     views  comment_count\n",
       "likes          1.000000  0.420619  0.834639       0.765288\n",
       "dislikes       0.420619  1.000000  0.441923       0.734943\n",
       "views          0.834639  0.441923  1.000000       0.573885\n",
       "comment_count  0.765288  0.734943  0.573885       1.000000"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plotring process the Heatmaps of Correlation\n",
    "# only picking up these variables to find the correlations\n",
    "# picking up four columns including \"likes\", \"dislikes\", \"views\" and \"comment number\" as variables\n",
    "\n",
    "# The mattrix of correlation\n",
    "new_cols = ['likes','dislikes', 'views', 'comment_count']\n",
    "corr_matrix = last_occ[new_cols].corr()\n",
    "corr_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Average of view count of each type\n",
    "# IF there data does not exist for type of video, we use 0\n",
    "\n",
    "average = [0]*40\n",
    "for index in range(40):\n",
    "    newone = last_occ[last_occ['category_id']==index]\n",
    "    average[index] = (newone['views'].mean())\n",
    "    if math.isnan(average[index]):\n",
    "        average[index]= 0\n",
    "        \n",
    "# Create x y values for prediction\n",
    "\n",
    "X= []\n",
    "y = []\n",
    "count = 0\n",
    "for i in average:\n",
    "    X.append([count])\n",
    "    y.append(i)\n",
    "    count = count+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Linear Regression of category and view count, which shows that if the category_id is smaller, it tends to have a \n",
    "#better view counts. \n",
    "\n",
    "lin = LinearRegression()   \n",
    "lin.fit(X, average)\n",
    "plt.scatter(X, average, color = 'blue') \n",
    "plt.plot(X, lin.predict(X), color = 'red') \n",
    "plt.title('Linear Regression') \n",
    "plt.xlabel('category_id') \n",
    "plt.ylabel('views') \n",
    "  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polynomial Regression of category and view count\n",
    "\n",
    "poly = PolynomialFeatures(degree = 5) \n",
    "X_poly = poly.fit_transform(X) \n",
    "poly.fit(X_poly, average) \n",
    "lin2 = LinearRegression() \n",
    "lin2.fit(X_poly,average)\n",
    "\n",
    "# Plot polynomial regression\n",
    "\n",
    "plt.scatter(X,average, color = 'blue') \n",
    "plt.plot(X,lin2.predict(poly.fit_transform(X)),color = 'red') \n",
    "plt.title('Polynomial Regression') \n",
    "plt.xlabel('type') \n",
    "plt.ylabel('views') \n",
    "  \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Like_view Ratio in Different categories')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CMWe2dQhmrcrJMszMzOqQG2gzM7M65Aa6lUlaXtJNkl7P84nfV+GxrJba9/jWTFpiZmZzzg10K5Ik0vPQgyNijYjoCZzCrFOZmpmZuYFuZTuSptucMWlKRIwEnpB0Vp4YZUyeKKWUvWuIpJslvZIzXQ1Uyj09RtIaudwykm6TNDT/bJOXd5P0YM7GdQl5ClRJv5c0Y1IYSX/Mc46bmVmdcAPdujYAhldYvj8pH3UvUvKMsyStkNf1Is2wtiFptrW1I2Jz4DLg2FzmXOCciNiMNHPYZXn5b4AnImJj0mxlq+bllwOHAeQpUw8mZRObzazZrCol9DIzs5bgx6zqw7bAjTnZx3uShgCbAZOAoRHxLoCk10lzd0PKQLVjft2PNE1pqb4lcv7q7cmpKSPiXkkT8+vxkj6UtDFpeH1ERHxYKbCIuJSUz5te3ZdvP9POmZm1c26gW9cLpMQZ5RrKvlXM6jW98H46Mz+/+YCtyvJGkxvsao3qZcDhwPLAFQ0FbWZmrc9D3K3rX8CCkn5QWiBpM2Ai0F9SJ0nLkHq+lZJgVPMg8ONCnb3zy8dIWcKQtDuwZGGbO4DdSD31B5p+KGZm1pLcg25FERGS9gP+Kulk4EtgPHA8sBgwitTjPSki/iepPMVlNccBF+asYJ1JDfNRwG+BG3O2rSHAfwqxTJH0KPBxIY+2mZnViXaVzcqaT7457HngWxHxai3b9OnTJ4YNG9aygZmZzUPmJpuVh7g7IEk9gdeAR2ptnM3MrHV5iLsDiogXgdXbOg4zM6vODbTV7LMPXmPoJXu3dRg2D9vsh3e3dQhmdcND3GZmZnWowzbQkiaXvT9c0gVzWWdfSVvPwXZ758QZYyX9sYFyy0m6R9KoUqKNvLyHpENq2M9cH6OZmbUOD3E3r77AZOCpJm73V6BfRLwhabUGyv0OeCgizgWQtFFe3gM4BLihifs1M7M61WF70A2R1F3SI5JG59+r5klExinpKmm6pO1z+cclrUl69vgESSMlbVepniq7nAKsDBARbzQQ2grA26U3ETE6vzwD2C7v94QcT2myEiQ9WWjMS8sqJtgwM7P60JEb6IVzgzZS0khS77TkAuCaiNiIlETivDyZxytAT9Lc2cNJjeKCwMoR8RpwMSlpRe+IeLxSPeVB5OeR/w1c0UjvGeBC4HJJj0r6laQV8/KTgcfzfs9h5jSe5FzTCxYa85JqCTbK45uRLOPjyVMaCc/MzJpLR26gv8gNWu+I6A2cWli3FTOHi68lNcgAj5Om4dweOD0v3wwYWmUf1eopOpY0R/fRwN25Z7u5pFvKC0bEA6THo/4OrAuMyFODlrsF2EvS/MB3gasqlOkHXJC/nNzFzAQb5fu8NCL6RESfrostUOUwzcysuXXkBropStOtPQ5sB2wO3Ad0JV13fqyJ9RTtSpow5GFSL/5e4FBgUMUKIj6KiBsi4jukLwbbVyjzOfAQsA9wEJWvTZcSbJS+pKwUEZ/WeBxmZtbC3EBX9hQpRzKkZBNP5NfPAlsD0yPiS2Ak8ENSww3wKbB4DfUUjQC+LWm+iLgZeJV0w9e95QUl7SRpkfx6cWAN0vza5fuFNGR9Hild5UcV9lstwYaZmdUBN9CVHQcckZNPfAf4CUBEfAW8BTyTyz1OahjH5Pd3A/uVbhKrVk+ZP5LSTY6VNBx4D7gEuCFfny7aFBiW63sauCwihgKjgWn58asTcqzDSfmkr2zgGPvkG9heJN3gZmZmdcLJMuZR+QaywcC6ETG9Oepcr3vXuOaU7ZqjKrOKPJOYzWvmJlmGn4OeB0k6lNQz/2lzNc4Aiy6zpv+Ampm1EjfQ86CIuAa4pq3jMDOzOedr0GZmZnXIPWir2ccTXuUfV+ze1mFYO7fPd//Z1iGYtQvuQZuZmdUhN9DNSNLXxelDJZ1coUxfSfc0835nyaIl6ah8o5iZmbVTHuJuXl/kaUNbW18KWbQi4uI2iMHMzJqRe9CtQNJukl6S9ASwf2H5aZJOLLwfK6lHfn1onkRklKRr87K9JT0raYSkh3N+6B7MnkVrRr2Sekt6Jtd1h6Ql8/LBks6U9JykV/LEKmZmVifcQDevWTJkSeovaSFScou9SfN4L99YJZLWB34F7BQRvZg5A9kTwJYRsTFwE3BSRIxn9ixaRdcAv8gZtcYAvyms6xwRmwPHly0vxjIjm9UkZ7MyM2s1HuJuXrMNcec5rt+IiFfz++uAIxupZyfg1oiYAClBRl6+MjBI0grAAkBDuaOR1AXoGhFD8qKrSZmuSm7Pv4cDPSrVERGXApcCrNmji6edMzNrJe5Bt45qDds0Zv0MFsq/VWWb84ELImJDUpKOhSqUaYqv8u+v8Zc1M7O64ga65b0ErCZpjfx+QGHdeGATAEmbAKvl5Y8AB0nqltctlZd3Af6bXx9WqKdSNisi4hNgYuH68neAIeXlzMys/riBbl7l16DPyGkpjwTuzTeJvVkofxuwlKSRwNHAKwAR8QJpLu0hkkYBf8nlTwNukfQ4MKFQT3kWraLDgLNyBqzepJzTZmZW55zNymrWp0+fGDZsWFuHYWbWbsxNNiv3oM3MzOqQG2gzM7M65Dt3rWYffPgql1y7a1uHYe3MD7/zQFuHYNYuuQdtZmZWhzpMA11IZDFW0i2SFmnm+q+SdGATt/mBpJclvSDpmAbKnSbpvzn+lyRdJGm+Od2vmZnVvw7TQJNn+YqIDYAppPmr24ykzqRHqTYDNgDua2STc/IsZT2BDYEdWjZCMzNrSx2pgS56HFgTQNK3c8KIkZIukdQpLx8gaUzucZ9Z2lDSZEl/lvS8pEckLVNeuaRNJQ2RNFzSA3lqzko6A90iGV9j7AuQZhCbWGG/O+dEGmMkXSFpwbx8j1KyDknnldJdStqh8Mz2CEmzTXZiZmZto8M10LnnujswRtJ6QH9gm9w7/RoYKGlF4EzSnNi9gc0k7ZurWBR4PiI2Ic3K9Zuy+ucnTcl5YERsClxB6imX6wyMBu4szBTWkBPyhCbvAq9ExMiy/S4EXAX0z1OBdgaOzssvAXaPiG2B4heKE4Ef5WPfDviihjjMzKwVdKQGeuHcwA0D/gNcDuwMbAoMzet2BlYnDTsPjogPImIacD2wfa5nOjAov74O2LZsP+uQhqwfynX+mpTkotzpwLXAn4G7JS0i6SBJZ1WJvzTEvSywqKSDK+z3jYh4Jb+/Ose8LjAuIkqJNW4sbPMk8BdJx5GSakwr32kxm9XkT53NysystXSkx6wqZZoScHVE/LJs+b7UrnwqNgEvRMRWjWy3K3BuRIyXtCwpy9RnQLUGOu0sYqqk+0mN701l+62k2nIi4gxJ9wJ7AM9I6hcRL5WVmZHNqvtqzmZlZtZaOlIPupJHgANzA4mkpSR1B54FdpC0dL4mPYCZSSbmA0p3TR9CytFc9DKwjKStcp3z5/zO5UYAh+bXfyElu1iflPqxqvylYmvg9bJVLwE9JK2Z35cSY7wErC6pR17ev1DXGhExJiLOJI0srNvQvs3MrPV06AY6Il4kDUE/mJNJPASsEBHvAr8EHgVGka45/yNv9hmwvqThpGvUvyurcwqpAT8zJ7oYSWpQyx0P9Jb0AvAc8AAwFDinSrila9BjSSMffyvb75fAEaRkGmNIQ/EXR8QXwDHA/TlZx3vAJ6UY8k1wo0jXn//Z4AkzM7NW42QZTSRpckQs1tZxNIWkxSJicu59Xwi8GhHVvghU1X21LnHK77Zs/gBtnuaZxKwjm5tkGR3pGnRH9gNJh5Ee0RpBuqu7yZbptpb/2JqZtRI30E3U3nrPALm33OQes5mZtZ0OfQ3azMysXrkHbTV7e+Kr/OLW3do6DGtDZx54f1uHYNZhuAdtZmZWh9xA1zlJIenawvvOkj4ozac9B/VdJqln80VoZmYtwUPc9e8zYANJC+dnmncB/junlUXE95stMjMzazHuQbcP/wT2zK8HUJhPO+eKPrHwfqykHpIWlXSvpFF5Wf+8frCkPvn1bjkr1yhJj7Ti8ZiZWSPcQLcPNwEH58xUG5GmIm3MbsA7EdEr58Ce5e6enCbz78ABEdEL+FalSorJMr6Y5GQZZmatxQ10OxARo4EepN7zfTVuNgboJ+lMSdtFxCdl67cEHitluYqIj6rs+9KI6BMRfRZeYoE5OwAzM2syN9Dtx13A2cyaLhJgGrN+jgsB5LSTm5Ia6tMlnVq2nZg9E5eZmdUJN9DtxxXA7yJiTNny8cAmAJI2AVbLr1cEPo+I60gN+yZl2z1NythVKr9Uy4VuZmZN5bu424mIeBs4t8Kq24BDc6arocArefmGwFmSpgNTgaPL6vtA0pHA7ZLmA94n3SFuZmZ1wA10nas093dEDAYG59dfAN+osOl4UgrL8m37Fl7/E6eYNDOrS26grWYrL7mWp3o0M2slvgZtZmZWh9yDtpq9+vHb7HHnz9o6DGtB9+3757YOwcwy96DNzMzqkBtoMzOzOuQGuo1IWk7SDZLGSRou6WlJ+zVDvUdJOrQ5YjQzs7bja9BtQJKAO4GrI+KQvKw78M25rTsiLp7bOszMrO25B902dgKmFBvTiHgzIs7Pmagez1mmnpe0NYCkvpKGSLpZ0iuSzpA0UNJzksZIWiOXm5HdKmeuOjOXeUXSdnn5Irme0ZIGSXq2lOHKzMzqg3vQbWN94Pkq694HdomILyWtRZp7u9R49gLWAz4CxgGXRcTmkn4CHAscX6G+zrnMHsBvgH7AMcDEiNhI0gbAyGqB5tnGjgRYaJnFm3iYZmY2p2rqQUs6W9L6LR1MRyXpwpyTeSgwP/B3SWOAW4CehaJDI+LdiPgKeB14MC8fQ8p2Vcnt+ffwQpltSSksiYixwOhqsRWzWS2wxCJNPjYzM5sztQ5xvwRcmodCj5LUpSWD6gBeoJC8IiJ+BOwMLAOcALxH6i33AYo5Hr8qvJ5eeD+d6qMhpTJfF8poLmI3M7NWUFMDHRGXRcQ2wKGkXtjofAfyji0Z3DzsX8BCkooJLErd0y7AuxExHfgO0KkF9v8EcBCApJ6kxBpmZlZHar5JTFInYN38MwEYBfxU0k0tFNs8KyIC2JeU7vENSc8BVwO/AP4GHCbpGWBt4LMWCOFvwDKSRud9jgY+aYH9mJnZHFJqKxopJP0F2JvU87s8Ip4rrHs5ItZpuRCtueUvW/PnG9HWAB4B1o6IKQ1t16dPnxg2bFirxGhmNi+QNDwi5ugpmUbv4s7P7E4EekXE5xWKbD4nO7Y2tQjwqKT5Sdejj26scTYzs9bVaAMdESFp34j4fZX1HhptZyLiU2Y+umVmZnWo1uegn5G0WUQMbdForK69+vH77Hn7+W0dhjXi3v2PbesQzKwZ1NpA7wj8UNKbpJuWROpcb9RikZmZmXVgtd7FvTuwBmmKyr2BvfLvdkHS15JGShor6RZJDc64IemUOdjHaZJeyvtoMOmFpM6SJkg6vca6vynp5KbGVKWuwZ7W08ys/tX6HPSbQFdSo7w30DUvay++iIjeEbEBMAU4qpHyTWqgJa0CDCQ9T9wbaOxSwDeAl4GD8k14DYqIuyLijKbEZGZm7VutU33+BLgeWDb/XCepvV7oehxYE0DSt3MiiZGSLpHUSdIZwMJ52fWSFpV0b56Kc6yk/hXqnAYsASwWEdMi4u1GYhgAnAv8B9iytFDSeEm/zUkyxkhaNy8/XNIF+fVVki6S9GhOVbmDpCsk/VvSVYW6LpI0TNILkn5bHkA+1qvyMY2RdEJTTqKZmbWsWoe4vwdsERGnRsSppEblBy0XVsuQ1Jk0XD9G0npAf2CbiOhNmgpzYESczMwe90BgN+CdiOiVe+D3V6j6K9L0nLdLWrCRGBYmTet5DykRxoCyIhMiYhPgIuDEKtUsSbrccAJwN3AOKQHHhpJ65zK/ys/ebUSaEKX8foHewEoRsUFEbAhcWSXeI3NDP2zKJ5MbOjQzM2tGtTbQIjVgJV/TvuZzXljSSGAYqdd6OamR3BQYmtftDKxeYdsxQL+ctnG7Ko+VXU5qLP8F3CBpPkknSfpRhbJ7AY/mZ8pvA/bLE4eUVEpuUe7uPBvZGOC9iBiTpwZ9obDNQZKeB0aQGu+eZXWMA1aXdL6k3YBJlXaXSarsAAAgAElEQVQ0S7KMLotVCcfMzJpbrXdxXwk8K+mO/H5fUqPUXnyRe8kz5Gu/V0fELxvaMCJekbQpsAdwuqQHI+J3ZcX6AQdGxCOSzidNpbkOae7ycgOAbSSNz++7ke6Sfzi/r5TcolwxSUZ5Ao3OklYj9b43i4iJeeh7obLjmiipF7Ar8CPS3NzfrbI/MzNrZbXeJPYX4AhSHuKJwBER8deWDKwVPAIcKGlZAElLSeqe103Ns2whaUXg84i4DjibQhaqgtHAt/Prk0gN9lcR8VaxkKQlSKkeV42IHhHRg9Q4lg9zz60lSI/DfSJpOdKw/iwkLQ3MFxG3Af9H5eMyM7M2UlMPWtJSwPj8U1o2f0RMbZmwWl5EvCjp18CDkuYDppIayzeBS0kZu54HrgHOkjQ9lzm6QnWHApdI+hnwJakhP0DST/OXm5L9gX/lfM4l/wD+1Ni16yYe2yhJI0hD3uOAJysUWwm4Mh87QIMjCWZm1rpqTZYxHliF1HsW6ZGrd4H3gR9ExPAWjNHqRJc1V41t//Tztg7DGuGZxMzqR4smy8juB+6IiAfyDr9Burv5ZtL11i3mZOfWvqzVdVn/8TczayW13sXdp9Q4A0TEg8D2EfEM0GxDs2ZmZpbU2oP+SNIvgJvy+/7AxPx40PQWiczMzKwDq7WBPgT4DXBnfv9EXtaJ9HiOdQCvTfyIvW69vq3D6PDuOXBgW4dgZq2gpgY6IiYAx0paLCLKp5N6rfnDMjMz69hqnYt7a0kvAi/m970k/a1FI2tBhexWpZ8GM0VJ6itp6znYT29Je9RQro+k85paf3OZk+xdZmbWsmod4j6HNOPUXTDjOdvtWyyqljfbzGKN6AtMBp6qdYM873dvoA9wX0NlI2IYaRrStnIK8P/acP9mZlam1ru4KZ8Vi1nn5p4nVMomJakHKT3lCbm3vZ2kZSTdJmlo/tkmb3+apEslPUia4OR3QP+8XX9Jm0t6StKI/HudvF1fSfcU6rhCKW/zOEnH5eU9lPJNX5YzUF0vqZ+kJyW9KmnzXG7RvP3QvJ998vLDJd0u6f5c/k95+SzZu1rzfJuZWXW19qDfykO8IWkB4Djg3y0XVosrJc8oOT0iBuXXEyJiE0nHACdGxPclXQxMjoizASTdAJwTEU9IWhV4AFgvb78psG1EfCHpcNIjaj/O2y1BejxtmqR+pF7rARXiW5c0P/fiwMuSLsrL1wS+BRxJyjl9CGnq0G+SesH7Ar8izVb2XUldgeckleb57g1sTJq/+2VJ50fEyZJ+XG1EQdKReX8svHS3Rk6rmZk1l1ob6KNI+YtXAt4GHgSOaamgWkFDQ9zFbFL7VynTD+iZ8m0AsISkxfPruyLiiyrbdQGulrQWEMD8Vcrdm6cD/UrS+8ByefkbETEGQNILwCMREZLGMDOL1TeAb0oqpapcCFg1v36klI0r31PQHSgfGZlFRFxKmvqUrmus3vi0c2Zm1ixqbaDXybmRZ8jDupXmeG7vaskmNR+wVXlDnBvszxqo+/ekVJP75aHzwY3EUB5HeeaqYlarUhkBB0TEy2WxbdFAvWZmVmdqvQZ9fo3L5lWfkoabSx4Eflx6I6lab7x8uy7Af/Prw5sxvqIHSI/EKce2cQ3bzMjeZWZm9aHBBlrSVjlD0zKSflr4OY00SUl7VbopqvRzRiPl7wb2K90kRroG30fS6DxUfFSV7R4lDYWPlNQf+BMpp/STtNz5+z1p6Hy0pLH5fWNK2bt8k5iZWZ1oMJuVpB1IjxgdBVxcWPUpcHdEvNqi0Vld6dOnTwwb1pZPg5mZtS9qqWxWETEEGCLpqoh4c46iMzMzsyar9SahzyWdBaxPuisYgIjYqUWiMjMz6+BqbaCvBwYBe5GGuw8DPmipoKw+vTbxE/a59Z9tHUaH948Dd2/rEMysFdR6F3e3iLgcmBoRQyLiu8CWLRiXmZlZh1ZrAz01/35X0p750Z2VG9pA0q8kvZDvdB6Zn8OtVrbNkkVIWkvScznOh6uU2bBwx/dHkt7IryuWb2R/10nad+4jB0lPNPCIl5mZtWO1DnH/QVIX4Gek55+XAI6vVljSVqTh8E0i4itJSwMLVCvfxskiTgYuiogrJa1WqUCevas3gKSrgHsi4tbWC9HMzDqaWnvQ3yI9kjU2InYEdgH2a6D8CqQ5rb+ClE86It4BkLRZThQxKvdcFy9LFtGkZA953W5KCS5GSXqkoXoqmEIeDYiIN2o8H7OQdHKhF35qYfkRedkoSVcWNtkxn4NxkvbLZftJeiQf48uSrinUs0vusY+R9Hel+dDLY/h2Xj9W0v8rLP+hpFeUkm9cJumvkrrmfXfOZbrmUYH2/Gy7mdk8pdYe9EYR8XHpTUR81MgMVQ8Cp0p6BXgYGBQRQ3LDMgjoHxFDlZJHlM9b3aRkD8CXwN9JSSjekLRUQ/VERPlUnK8DJ0saERH31Hg+ZlDK97wqsAVpms37lBKLfAb8Atg6n6+lCpstC2wDbAjcDNyRl28C9ATeB56RtCUwGrgC6BsRr+fJRI4ELijEsDLwB1Jqy0+AhyXtBYwijRBskuMZDDwXER/nyVJ2A+4hJd24OSLmuQxlZmbtVa096PkkLVl6kxubqo17REwmZXU6knS39yClzE7rAO9GxNBcblJETCvb/BukBnMkqUGZLdlDRHwJlJI9bAk8Vur9RsRHNdRTOo5NgD1Ijf5ZkrZWMk6amQmjEd8AdgdGAM+TMk6tDexE+mLyUVlcAHdGMpqUgKTkmYh4NzeUI0kJMNYDXo2I13OZa4DyXNxbkL6MTIiIqcANuUxp+cSImAIUh+UvA47Ir48Aij38GSQdKWmYpGFTJk2q7YyYmdlcq7UH/WfgKUm3krIwHQT8saENciMzGBislG3pMFID1lhGpKYme1CVOivWU6YfqXF/Kw8130WaMe2+aGiKtdn384d8l3sx3p9WiQtmPQ5VWV48vlpiaMpy8ojGBZJ2JN2d/1KVcoVsVms5m5WZWSupqQcdEdeQ8ha/R+oR7x8R11YrL2kdpZSKJb2BN4GXgBUlbZbLLV66DlrQ1GQPTwM7lG7wKgwl11LPCGAfSV1yA3UW6cvIdY3sszze70laNO9n5XxT3MPAwaV4yoa4m+JFYC1Jq+f33waGlJV5hnRdu1s+nwfnMs/m5V2VkmGUp8+8jvSMe8Xes5mZtZ2a0w1GxIukxqIWiwHn52u/04DXgCMjYopS0ojzJS1Muv7cr2zb3wN/JSVvEDCedEd4tbg+kHQkcLuk+UjXb3eppZ6IeEjSdaTrvZ8Db5CGe6+StF1ENDoZS0TcJ2ndXAekecoPiYjRSjeyPSZpGim/9Pcaq69C/Z9L+l4+vk6kRvfvZWXezjenDSb1mu+OiHsBlGaAe46UResF0jXqkuuBU0n3BZiZWR1pMFmGtX+SFouIybkH/Q/SI2V353UHA7tGxBENVpJ1XWOt2OHMNnlc3Qo8k5hZ+6GWSpZh84TfS+pLuknuftJd20i6iDR6sVutFa25ZBc3DmZmrcQN9DwuIk6osvzo1o7FzMxqV+tjVmZmZtaK3IO2mr0+8XMOvO35tg5jnnHrAZu0dQhmVsfcgzYzM6tD7baBlvS1ZmaYGimphwpZsZTm7r6gsXoaqF+SLpX0Yp7jeqtGyi8jaaqkH9ZY/1GSDp3T+MrqOqXs/VPNUa+ZmbWd9jzE/UVElKdaHE/zZcXaFlgLWB9YGFi8kfLfIk0YMgC4pLHKI+LiuQ2w4BRgRoKMiNi6Ges2M7M20G570JWokBWrbPlVki6S9GieZ3sHpUxX/1ZKH1nJFGA5YP6I+Dwi3mtk9wNI6ThXljRjfm1JkyX9USmj1TOSlsvLT5N0Yn49WNI5kh7LMW2mlNXqVUl/KNR1p6ThSnm2j8zLzgAWzqMI15f2mX9L0llKGa7G5EliSudpsKRbJb0k6frSjGtmZlYf2nMDXWqURkq6o/HiLElKYHECcDdwDql3vKGk8p44pGlNlyDNKtZg4yVpFWD5iHiOlJ2qf2H1oqQkGL2Ax4AfVKlmSkRsT5oL/B/Aj4ANgMMldctlvhsRm5KyVh0nqVtEnEweTYiIgWV17k+aZrUX6ZnnsyStkNdtTMrp3RNYnZRdq9KxzUiW8dWkiQ2dBjMza0btuYEuNUq9I6Kh3NQld+cEGGOA9yJiTERMJ01/2aNC+VuBnYHPSY05kv4mac8KZQ8mNcwAN5F60yVTyJODkKb7rLQvSIk6yPG9kLNafQWMA1bJ646TNIo0lL4KaQi+IdsCN0bE13kEYAiwWV73XES8nc9BKXPWbCLi0ojoExF9FlxiyUpFzMysBbTnBrqpSpmipjNr1qjplF2Ll7QssHTOhPVDoIek35B6roMr1D2A1NMdT2poe2lmspCphcxYpQxVTY4vzwbWD9gq98ZHkGYHa0hDPf9KmbPMzKxOdKQGuik+IF3C3TGnzTwS+AnwfER8ViwoaR1g0YhYKSJ6REQP4HRSr7o5dQEm5uQZ65LyYJdMzXNtl3sM6C+pk6RlSDmin2vmuMzMrAW4ga4g93gPAP4oaSRwJ/BjYEtJB5YVHwCUXwO/jVmHuZvD/aSe9GhSpq5nCusuJWXtur5smzuA0cAo4F/ASRHxv2aOy8zMWoCzWVnNllyjZ+z8p6akyraGeCYxs3mfs1lZq1hjyUXcqJiZtRIPcZuZmdUh96CtZv/7eCpn3vFuW4cxz/jFfis0XsjMOiz3oM3MzOqQG+g6JOlXeTrP0XmmtC0kjZe0dFvHZmZmrcND3HUmZ83aC9gkIr7KjfICbRyWmZm1Mveg688KwIQ8zScRMSEi3snrjpX0fE58sS6ApKVyEo3RORnHRnn5GEldc8KMD0upLSVdK6mfpPUlPZd76KMLM5+ZmVkdcANdfx4EVpH0Sp77e4fCugkRsQlwEXBiXvZbYEREbERKO3lNXv4kKQHG+qT5vLfLy7ckTXJyFHBuTtnZB3i7BY/JzMyayA10nYmIycCmpOlFPwAGSTo8r749/y4m3dgWuDZv+y+gm6QuwOOkqT23JzXoG+Y0mB/lfTwNnCLpF0D3iPiiUjzFbFafTfqwWY/VzMyqcwNdh3L2qcER8RvSFKMH5FWlBBfF5BaVEmIEaR7u7fLPYFJjfyCp4SYibgC+CXwBPCBppyqxzMhmtegS3SoVMTOzFuAGus5IWqfsenBv4M0GNnkMGJi37UsaBp8UEW8BSwNrRcQ44AnSsPjjuezqwLiIOI+UgWuj5j4WMzObc26g689iwNWSXsyJMXoCpzVQ/jSgTy57BnBYYd2zwCv59ePASqSGGqA/MDYnA1mXmdeuzcysDjhZhtVs5TV7xbFn3d/WYcwzPJOY2bzPyTKsVSzfdX43KmZmrcRD3GZmZnXIDbSZmVkd8hC31eyTidP456AJbR1Gu7Z7f0+nbma1cQ/azMysDrmBrkOVslk1Q519JW3dHPGZmVnL8xB3nWmJbFaSOgN9gcnAU3MdpJmZtTg30PVntmxWAJLGA4OAHXO5QyLiNUndgSuAZUjTeR4REf+RdBXwEbBx/r0N8LWkbwPHAssDvyFNG/pJRGzfOodnZma18BB3/Wkom9WkiNgcuAD4a152AXBNzmZ1PXBeofzaQL+IOAC4GDgnInpHxOPAqcCuEdGLNCd3RcVkGZOcLMPMrNW4ga4zjWSzurHwe6v8eivghvz6WlJ2q5JbIuLrKrt6ErhK0g+ATg3EMyNZxhJOlmFm1mo8xF2HcqM6GBgsaQwz59cuzstabY7W4vLPGtjHUfnmsz2BkZJ6R4S7yGZmdcI96DrTSDar/oXfT+fXTwEH59cDmZkMo9ynwOKF/awREc9GxKnABGCVZgjfzMyaiXvQ9Wcx4HxJXYFpwGuk4e69gAUlPUv6YjUglz8OuELSz8k3iVWp927gVkn7kG4SOyF/ERDwCDCqhY7HzMzmgBvoOhMRw4HZnleWBHBhRPy2rPx4YKcK9Rxe9v4VZs35/PjcR2tmZi3FDbTVrMuSnT1VpZlZK3ED3U5ERI+2jsHMzFqPG2ir2RcfTOWFi99r6zCa1fpHLdfWIZiZVeS7uM3MzOqQG2gzM7M6NM830JJC0p8L70+UdFor7HdBSXdKGiNphKTVGyg7PpcbJelBScs3Uvf4nEQDSU/l3z0kHVIo00fSedXqMDOz+jbPN9DAV8D+pQatFR1ESkKxIekxqI8aKb9jnhd7GHBKrTuJiNIjWT2AQwrLh0XEcU2K2MzM6kZHaKCnAZcCJ5SvkLSMpNskDc0/2+TlYyR1VfKhpEPz8msl9ZO0vqTncq7m0WUzf5VMAVaSpIiYGBEf1xjvY8CaeX8DcixjJZ1ZqbCkyfnlGcB2OaYTcv7ne3KZxSRdmesaLekASZ0kXZXrHiNptvNjZmZtpyM00AAXAgMldSlbfi4pw9NmwAHAZXn5k6T0jOsD44Dt8vItgWeAo4BzI6I30Ad4u8I+x5GSXpzexFj3AsZIWhE4k9T77g1sJmnfBrY7GXg8Z6s6p2zd/5F78znr1b9ynStFxAa5l39lpUqL2awmTm5sEMDMzJpLh2igI2IScA1pWsyifsAFkkYCdwFLSFqcNMvW9vnnImBDSSsBH+VsU08Dp0j6BdA9Ir4oVippYeAqUgPfW9Lxefl9ktavEuajOY4lSI36ZsDgiPggIqaRUknOac7mfqQvKQBExETSF4jVJZ0vaTdgUqUNi9msllxsqTncvZmZNVWHaKCzvwLfAxYtLJsP2Cr3OntHxEoR8SlpmHm7/DOYNMf1geTpMSPiBlIO5S+ABySVT7W5IfBBRLxD6pn3l/QToCvwYpX4dswxHJqHwzXXRzyTKMt+lRvpXqTj+xEzRw/MzKwOdJgGOiI+Am4mNdIlDwI/Lr2R1DuXfQtYGlgrIsaRMkSdSG6g8x3Z4yLiPFLPuzjHNcCrwLqS1o+Iz/I+zwLuiohqaSLLPQvsIGlpSZ1IyTGGNFB+lmxVZcqPc8l809x8EXEbaQh8kxrjMjOzVtBhGujsz6SGt+Q4oE++cepF0rXlkmeBV/Lrx4GVmJnKsT8wNg9Jr0saPp8h904PA66VNAL4GykV5PclzZYIo5KIeBf4JfAoKdPU8xHxjwY2GQ1My49qld/w9QdgyXxD2Chgx3w8g/MxXJX3ZWZmdUK1d+iso+vTp08MGzasrcMwM2s3JA2PiD5zsm1H60GbmZm1C26gzczM6pCzWVnNpr73Jf/780ttHUaDlv/Zum0dgplZs3AP2szMrA7Ncw20pG55usuRkv4n6b+F9wu00D6fKD2iVbZcki6X9GKeTnPzRup4uRDroGaOcXVJBzdnnWZm1nLmuSHuiPiQNI0lOWvV5Ig4u1hGkkh3sE9v4XD6kmYa6ylpEWCxRsr3j4iRLRTL6sDBwE0tVL+ZmTWjea4HXY2kNfNzwBcDzwMrSLo0zzP9gqRTc7m9Jd1Q2K6fpDvy690lPS3peUmDJC1aeW8zTAGWkzR/RHweEe83MealJL2Rv1CUkl78R1JnSWtJekDScEmPSVo7l7lO0rmSnpI0TtJ+ubozgB1z7/w4SRsqJQgpJfyomg7TzMxaX4dpoLOewOURsXFE/Bc4OT+f1gvYRVJP4AFSVqiF8zb9gUGSliUlpNg5IjYhTQzyk0b29y7QDbii1Mg2YlBhiPuMPPvZi8C2ef0+wH15bu5LgWMiYlPSJCMXFOpZlpTsY19mJus4GXg0Tyd6HnAMcHZO+LEZ8E4N8ZmZWSvpaA306xExtPB+gKTnST3q9YCeETEFeAjYU9L8wK7A3cDWpAb+qTz71kBSDuaKcoN8KynBxdekqT7JvfZdq2zWvzAv+Ml52SDSlwRIQ9SDJHUlZda6LcdyIbBioZ47IxlNmjGskqeAX0s6CVglIr6schwzsll9+NnEaodrZmbNrKM10J+VXijlcP4JsFNOwXg/sFBePQg4CNgFeDrPpy3g/kID2jMijmxgXysAS0TEa8D3gXUk/Zp0ffyxJsR8J7CXpG6kJBxDciwTCrH0jogNCtt8VXhdseceEdcC++WyD0mqmCmrmM2q26JLNiFsMzObGx2tgS5agpRgYpKkFUg95ZJHgC1ISS5Kd1M/RUpesTqApEVzI1/N/4AFJW2fh6R/QEq48Vx5esqG5FSZI0jZuO6KiOl5ru93S9eXJc0nqVcjVc2STEPS6hHxWkScC9zL7Ak/zMysDc1zd3E3wfOk67tjSbmRnyytiIhpkv4JHEIayiYi3pP0PdIQc+lxrVNImatmExHTJR0AnJvv4P6MdN33ZEn7RcQdFTYbJKnUeL8XEaUvDYOAG5l5LRrScPdF+U71BYDrSEk1qhkBdMrJMi4n5b4eAEwlXX/+dQPbmplZK3OyDKtZr1U2iAeOv7Wtw2iQZxIzs3oyN8kyOnIP2ppo/uUWcgNoZtZKOvI1aDMzs7rlBtrMzKwOeYjbajbt/U95//xHW3Wfyx67Y6vuz8ysXrgHbWZmVofmiQZa0n6SQlJNdzBJOj4/+tQc+/5BzkL1gqRjqpTpK+npsmWdJb2Xn8GuVvdVkg6ssHxFSQ3eTi1psKQ5unPQzMza3jzRQAMDgCdIzwbX4nhgrhtoSZ2BP5Lmst4AuK9K0ceAlSX1KCzrB4yNiHebut+IeCciZmu4zcxs3tHuG2hJi5ESQ3yPQgOde633FN5fIOlwSceR5q1+VNKjed0ApXzNYyWdmZd1yj3YsXndCVVC6Ax0y3Nfj69UIKe1vIWZc2qTY70x72sNSffnzFSPl40EbF/ITHVgLt9D0thCnGfnGEdLOrbCOfqGZmbhuiWfMySdoZSrerSks8u3MzOzttPuG2hSxqb7I+IV4CNJmzRUOGdyegfYMSJ2lLQicCawE2me7M0k7ZtfrxQRG0TEhsCVFarrTMpqdaekpRqJ80byFwhJCwJ7ALfldZcCx+bMVCcCfytstwJpBrG9SCkjyx0JrAZsnOcUv764UtLSpFnC+uUsXMOAn+Z49wPWz9v9oVLQsyTLmPxJI4doZmbNZV5ooAcAN+XXN+X3TbEZMDgiPshzZl9PykA1Dlhd0vmSdgMmVdj2dOBa4M/A3ZIWkXSQpLPKC+YsWotJWgfYHXgmIibm3uzWwC05M9UlpEa55M48//aLwHIVYugHXJxjJ6eoLNqSlIXryVz/YUD3fDxfApdJ2h/4vNLJmSVZxmJdKhUxM7MW0K4fs8oZnnYCNpAUQCcgcgrFacz6BWShClVA9WxPE3MCil2BH5GyW323rNiuwLkRMV4pX/QtpDm3Z2ugs5tIvej1yMPbOcaPc17mShrLTCWgoflaBTwUEbN9cZG0ObBzjunHpHNpZmZ1oL33oA8EromI7hHRIyJWAd4gDQm/CfSUtKCkLqSGqKSY2elZUpaqpSV1IvXAh+Sh4fki4jbg/4BKQ+cjgEPz67/kOtcHhleJ90bg26SG8C6Yka3qDUnfgpRHuobMVEUPAkflG9aoMNT+DLCNpDXz+kUkrZ177l0i4j7STXPVviCYmVkbaO8N9ACgPCvUbcAhEfEWcDPpGvH1pMa05FLgn5IezXdR/xJ4lJQN6vmI+AewEjA4DwtflcuUOx7oLekF4DngAWAocE6lYPMw9efAv3KO6ZKBwPdypqkXgH1qO3wALgP+A4zO2x9Sts8PgMOBGyWNJjXY65K+TNyTlw0Bqt0EZ2ZmbcDZrKxmvVddJx78+cWtuk/PJGZm7ZmzWVmr6Lzs4m4wzcxaiXvQVjNJnwIvt3UcjVgamNDWQTSiPcQI7SPO9hAjtI8420OM0D7iLMbYPSKWmZNK3IO2pnh5TodqWoukYY6xebSHONtDjNA+4mwPMUL7iLO5YmzvN4mZmZnNk9xAm5mZ1SE30NYUl7Z1ADVwjM2nPcTZHmKE9hFne4gR2keczRKjbxIzMzOrQ+5Bm5mZ1SE30GZmZnXIDbQhaTdJL0t6TdLJFdYvKGlQXv+spB6Fdb/My1+WtGs9ximpm6RHJU2WdEGdxrhLzgc+Jv9u0cQlcxHn5pJG5p9RkvartxgL61fNn/mJ9RajUk73LwrnskWn6JvL/+MbKeWTfyH/+6yWeKhNYpQ0sHAeR0qaLqnFcgvMRZzzS7o6n8N/S6o0ffSsIsI/HfiHlAHsdWB1YAHSfOQ9y8ocQ0ppCSnz1aD8umcuvyApJ/XrQKc6jHNRUgKVo4AL6vRcbgysmF9vAPy3TuNcBOicX68AvF96Xy8xFtbfRsowd2IdnscewNiW+oybMc5Szvte+X23lvg/3hyfd16+ITCuTs/lIcBN+fUiwHigR0P7cw/aNgdei4hxETGFlBKzPFnHPsDV+fWtwM6SlJffFBFfRcQbwGu5vrqKMyI+i4gnSPmvW9LcxDgiIt7Jy18AFpK0YB3G+Xnk3OOkFK4tdZfp3Py7RNK+pJzuL7RQfHMdYyuamzi/AYyOiFEAEfFhRHxdZzEWDWBmKt+WMDdxBrCoUubBhYEpwKSGduYG2lYC3iq8fzsvq1gm/3H+hPRNupZt6yHO1tJcMR4AjIiIr2gZcxWnpC2UMriNAY4qNNh1EaOkRYFfAL9tgbiaJca8bjVJIyQNkbRdnca5NhCSHpD0vKT/397dx2w1x3Ecf3+q0YiySVtLeiDpTkzIU1EzG4byME0kM9NkbCZDZpjlIcNm6w//NDa2FkOeEtnq1pSKVHqSFKYxxfRg1vT1x+931+VyX93VdZ065vPart3X/Tvnd873Ond33/M753ef730ljLHS9RSboOuJ8zVgO7CJVIHwmYjYsred+VGf1trZfPWoqNY6+9K3UeqJ82CpO0ZJTcBTpJFLUeqKMyIWAk2STgFekvR+RDT66kQ9MT4KPBcR2woerNYT4yagZ0RsljQYeFNSU6T68I1WT5wdSLeHziKVyp2jVJ1pTmNDbMjvzhBgR0SsaGRg+1CL04YAAATYSURBVBNDG+ucDfwFdAeOAZolfRQR62vtzCNo+wE4vuL7HsCPtdbJl2c6A1v2sW8Z4jxY6opRUg9SffOxEfFNWeNsERGrSCOCgSWLcQjwtKQNpJrtD0q6s0wx5ttCmwEiYgnpvma/AmKsK87cPjcifomIHcB7wBkli7HFaIodPf8jhmx/4rwBmBUROyPiZ2A+sNfndTtB2yLgJEm9JR1G+kc+s2qdmcDN+f21wMeRZjrMBEbnWYu9gZOAz0oY58FywDFK6gK8CzwQEfNLHGfv/J8Okk4ATiZNdilNjBExNCJ6RUQv4HlgckQUMXu/nuPYVVJ7AEl9SL87NUdShypO4ANgkKQj8s/9QmBlyWJEUjvgOtI94SLVE+d3wAglRwLnAKv3ureiZrv59d95AZcBa0ln8ZNy22PAlfl9R9Js2HWkBNynou+k3G8NcGmJ49xAOovdRjrDHVCmGIGHSKPRpRWv48p2LIGbSBOvlgKfAyPLFmPVNh6hoFncdR7Ha/Jx/DIfxyuKirHeYwncmGNdATxd0hgvAhYUeQwb8DPvlNu/Ip3kTGxrX37Up5mZWQn5EreZmVkJOUGbmZmVkBO0mZlZCTlBm5mZlZATtJmZWQk5QZuZmZWQE7SZHRBJ2/LX7pJey+/HqaCSnpLGSxpbxLbb2G8XSXdUfL/785oVyX8HbWYHRNK2iOhU1TYOODMiini0ZmEkdYgaRT9yPd93IqKIR5qa1eQRtJnVRVIvSf8qUCDpckmfSjo2P9rydUmL8uv8GttqJ2lDfvRpS9s6Sd0kPSLp3tzWV9IsSUskNUvqL6m9pPX5UYpdJO2SNCyv3yzpxKp9jZM0Q9LbwGxJnSTNyVWblktqKSP4JNBX0lJJUyo/r6SOkqbl9b+QNLwhB9UMV7MyswJIGgXcA1wWEb9KepVUYeoTST1Jz3g+pbpfROyS9BYwCpiWKxRtiIif9M/KVC+SSl1+ndeZGhEjJK0FBgC9gSXAUEkLgR4Rsa6VUM8FBkXElvys6VER8bukY4EFkmYC9wMDI+L0/Nl6VfSfkOM+VVJ/UqLvF42v7mX/Q07QZtZow0lVei6JPeUTLwYGVCTZoyUdFRFbW+k/HXgYmEYqRjC9cqGkTsB5wIyK7R2evzYDw0gJ+gngNmAuqchBaz6MPTV5BUzOo+5dpLq+3dr4rBcALwBExGpJG0lVqZa10c+sTU7QZtZo64E+pES1OLe1A86NiD/2of+nwImSugIjgcerlrcDfmsZ0VZpBsaTau4+DEwkFVKYV2Nf2yvejwG6AoMjYqdSucqObcRaaMFp+3/zPWgza7SNwNXAy5KacttsYPfEMUmtJVcAIs1cfQN4FlgVuW5yxfLfgW8lXZe3JUmn5cULSaPrXfky81LgdlLibktn4OecnIcDJ+T2rcBRNfrMIyV2JPUDepIqu5nVzQnazBouItaQEtcMSX2Bu4AzJS2TtJI0yt2b6aQyh9NrLB8D3CrpS1L5vqvyfv8EvgcW5PWaScl1+T6E/UqOcXHe/uq8zc3AfEkrJE2p6jMVaC9peY51XI7BrG7+MyszM7MS8gjazMyshDxJzMwOCUm3AHdXNc+PiAmHIh6zsvElbjMzsxLyJW4zM7MScoI2MzMrISdoMzOzEnKCNjMzK6G/AU2QgCYkFT4qAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# some data analysis divided by category\n",
    "\n",
    "# compute the number of views in different category\n",
    "# compute the number of likes in different category\n",
    "# compute the number of dislikes in different category\n",
    "# use \"group by\" and the method of counting is 'sum'\n",
    "\n",
    "view_count = last_occ.groupby('category')['views'].agg('sum')\n",
    "like_count = last_occ.groupby('category')['likes'].agg('sum')\n",
    "dislike_count = last_occ.groupby('category')['dislikes'].agg('sum')\n",
    "\n",
    "# Likes & View Count\n",
    "# Plot the ratio between likes and view in different categories\n",
    "\n",
    "# count the ratio\n",
    "view_like_ratio = like_count / view_count\n",
    "# sort them and reset index\n",
    "view_like_ratio = view_like_ratio.sort_values(ascending=False)\n",
    "view_like_ratio = view_like_ratio.reset_index()\n",
    "# name the new columns\n",
    "view_like_ratio.columns = ['category','like_view ratio']\n",
    "sns.barplot(x=\"like_view ratio\", y=\"category\", data=view_like_ratio)\n",
    "plt.plot\n",
    "plt.title(\"Like_view Ratio in Different categories\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Dislike_view Ratio in Different categories')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dislike & View Count\n",
    "# Plot the ratio between dislikes and view in different categories\n",
    "\n",
    "# count the ratio\n",
    "view_dislike_ratio = dislike_count / view_count\n",
    "# sort them and reset index\n",
    "view_dislike_ratio = view_dislike_ratio.sort_values(ascending=False)\n",
    "view_dislike_ratio = view_dislike_ratio.reset_index()\n",
    "# name the new columns\n",
    "view_dislike_ratio.columns = ['category','dislike_view ratio']\n",
    "sns.barplot(x=\"dislike_view ratio\", y=\"category\", data=view_dislike_ratio)\n",
    "plt.plot\n",
    "plt.title(\"Dislike_view Ratio in Different categories\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c301a60b8>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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M2w8D7k/b17D4/Ejg0Vg+Vx3OOecSUrQzIUkTgf2ATSTVABcSRsOtC0wLYwV4xsxONrNZku4GXiN0051mZmvifk4HpgIdgVvNbFas4jxgkqRLgRnALTH9FuDPkuYSzoCOAshXh3POuWSotkfMZVNdXW3Tp09PuhnOOdemSHrBzKobKuczJjjnnEuMByHnnHOJ8SDknHMuMR6EnHPOJcaDkHPOucR4EHLOOZcYD0LOOecS40HIOedcYjwIOeecS4wHIeecc4nxIOSccy4xHoScc84lxoOQc865xHgQcs45lxgPQs455xLjQcg551xiGhWEJHWQtFGxGuOcc668NBiEJN0paSNJ6xOWxp4taUTxm+acc669K+RMaHsz+xgYCjwI9AKOK2qrnHPOlYVCglBnSZ0JQeh+M1tV5DY555wrE4UEoT8B84D1gSckbQksb2gjSbdK+kDSq2lp3SVNkzQn/u0W0yVprKS5kl6RtFvaNsNi+TmShqWl7y5pZtxmrCQ1tQ7nnHPJKCQI/d3MqszsEDMz4D3gpwVsdzswOCNtJPCImfUBHomvAQ4G+sTHcOAGCAEFuBDYA+gPXJgKKrHM8LTtBjelDuecc8kpJAjdm/4iBqJJDW1kZk8ASzKShwDj4/PxhC6+VPoEC54BKiVtBgwCppnZEjNbCkwDBse8jczs6dieCRn7akwdzjnnEtIpV4akbYEdgK6SjkjL2ghYr4n1bWpmiwDMbJGkr8X0KmB+WrmamJYvvSZLelPqWJTZSEnDCWdL9OrVq5Fv0TnnXKFyBiGgL3AoUAkclpb+CXBSC7dDWdKsCelNqaN+otk4YBxAdXV1Q/t1zjnXRDmDkJndD9wvaU8ze7qF6ntf0mbxDGUz4IOYXgNskVauJ7Awpu+Xkf6vmN4zS/mm1OGccy4hhVwTmivpV5LGxRFvt0q6tYn1TQFSI9yGAfenpR8fR7ANAJbHLrWpwEBJ3eKAhIHA1Jj3iaQBcVTc8Rn7akwdzjnnEpKvOy7lfuBJ4J/AmkJ3LGki4SxmE0k1hFFuo4G7JZ1IGGX3g1j8QeAQYC7wOXACgJktkXQJ8Hwsd7GZpQY7nEIYgVcBPBQfNLYO55xzyVEYXJangPSSme1aova0OtXV1TZ9+vSkm+Gcc22KpBfMrLqhcoV0xz0g6ZAWaJNzzjlXRyFB6BeEQPSFpI8lfSLp42I3zDnnXPvX4DUhM9uwFA1xzjlXfgpZykGSfizp1/H1FpL6F79pzjnn2rtCuuP+COwJHBNffwpcX7QWOeecKxuFDNHew8x2kzQDwMyWSlqnyO1yzjlXBgo5E1olqSNxihtJPYC1RW2Vc865slBIEBoL/A34mqTLgH8D/1vUVjnnnCsLhYyOu0PSC8CBhElAh5rZ60VvmXPOuXavkGtCAO8Tpu7pBFRI2s3MXixes5xzzpWDBoNQnLvtJ8Bb1C59YMABxWuWc865clDImdAPga3N7MtiN8Y551x5KWRgwquEhe2cc865FlXImdDlwAxJrwIrU4lmdnjRWuWcc64sFBKExgNXADPx+4Occ861oEKC0IdmNrboLXHOOVd2CglCL0i6nLA8dnp3nA/Rds451yyFBKF+8e+AtDQfou2cc67ZCpkxYf9SNMQ5V14mz1jAmKmzWbhsBZtXVjBiUF+G9qtKulmuxAq5WbUSOB7onV7ezM4sXrOcc+3Z5BkLGHXfTFasWgPAgmUrGHXfTAAPRGWmkPuEHiQEoJnAC2mPJpN0tqRZkl6VNFHSepK2kvSspDmS7kotFyFp3fh6bszvnbafUTF9tqRBaemDY9pcSSPT0rPW4ZwrrTFTZ38VgFJWrFrDmKmzE2qRS0ohQWg9M/ulmd1mZuNTj6ZWKKkKOBOoNrMdgY7AUYRh4NeYWR9gKXBi3OREYKmZbQNcE8shafu43Q7AYOCPkjrGZSeuBw4GtgeOjmXJU4dzroQWLlvRqHTXfhUShP4s6SRJm0nqnno0s97URKidgC7AIsJAh3ti/nhgaHw+JL4m5h8oSTF9kpmtNLN3gLlA//iYa2Zvx6mGJgFD4ja56nDOldDmlRWNSnftVyFB6EtgDPA0tV1x05taoZktAK4E3iMEn+Vxn8vMbHUsVgOkOoargPlx29Wx/Mbp6Rnb5ErfOE8ddUgaLmm6pOmLFy9u6lt1zuUwYlBfKjp3rJNW0bkjIwb1TahFLimFDNH+JbCNmX3YEhVK6kY4i9kKWAb8ldB1lik1Y7dy5OVKzxZY85Wvn2g2DhgHUF1dnbWMc67pUoMPfHScKyQIzQI+b8E6vwu8Y2aLASTdB3wbqJTUKZ6p9AQWxvI1wBZATey+6wosSUtPSd8mW/qHeepwzpXY0H5VHnRcQd1xa4CXJP1J0tjUoxl1vgcMkNQlXqc5EHgNeAw4MpYZBtwfn0+Jr4n5j5qZxfSj4ui5rYA+wHPA80CfOBJuHcLghSlxm1x1OOecS0AhZ0KT46NFmNmzku4BXgRWAzMIXV//ACZJujSm3RI3uYUwOGIu4QzoqLifWZLuJgSw1cBpZrYGQNLpwFTCyLtbzWxW3Nd5OepwzjmXAIUThAYKhTOKb8aXs81sVVFb1YpUV1fb9OlNHofhnHNlSdILZlbdULlCZkzYjzCceR7h4v4WkoaZ2RPNbaRzzrnyVkh33FXAQDObDSDpm8BEYPdiNsw551z7V8jAhM6pAARgZm8CnYvXJOecc+WikDOh6ZJuAf4cX/+YZs4d55xzzkFhQegU4DTCfG8CHgduKGajnHPOlYecQUhSD6CHmb0GXB0fSNoR2Ajw+Wycc841S75rQn8AemRJrwKuLU5znHPOlZN8QWgnM3s8M9HMpgI7F69JzjnnykW+IJRvBJyPjnPOOdds+YLQHEmHZCZKOhh4u3hNcs45Vy7yjY47G3hA0g+pHZJdDewJHFrshjnnnGv/cgYhM3tT0k7AMcCOMflx4Odm9kUpGueabvKMBb5Wi3Ou1ct7n5CZrQRuK1FbXAuZPGMBo+6byYpVawBYsGwFo+6bCeCByDnXqhQybY9rY8ZMnf1VAEpZsWoNY6bOzrGFc84lw4NQO7Rw2YpGpTvnXFJyBiFJj8S/V5SuOa4lbF5Z0ah055xLSr4zoc0k7QscLqmfpN3SH6VqoGu8EYP6UtG5Y520is4dGTGob0Itcs657PINTPgNMBLoSZw3Lo0BBxSrUa55UoMPfHScc661a3B5b0m/NrNLStSeVseX93bOucYrdHnvBgcmmNklkg6XdGV8+I2qzjnXHn3xBVx6KUjhcfbZRa+ywSAk6XLgF8Br8fGLmNZkkiol3SPpDUmvS9pTUndJ0yTNiX+7xbKSNFbSXEmvpF+PkjQslp8jaVha+u6SZsZtxkpSTM9ah3POla0334RDDglBp6ICfv3r2ry99y569YUM0f4ecJCZ3WpmtwKDY1pzXAv8n5ltC+wCvE64/vSImfUBHomvAQ4G+sTHcOKCepK6AxcCewD9gQvTgsoNsWxqu8ExPVcdzjlXHszgzjuha9cQePr2hYceqs0/9lioqQnljjii6M0p9D6hyrTnXZtToaSNgH2AWwDM7EszWwYMAcbHYuOBofH5EGCCBc8AlZI2AwYB08xsiZktBaYBg2PeRmb2tIULXhMy9pWtDueca7+WLIHTTw9Bp0OHEGg+/rg2//rrYdWqEHj+8heoKt0gpkKW974cmCHpMcLy3vsAo5pR5zcIq7LeJmkXwuSovwA2NbNFAGa2SNLXYvkqYH7a9jUxLV96TZZ08tRRh6ThhDMpevXq1cS36ZxzCXrmGTj1VJgxo37egAFw3XWw++6lb1eGQgYmTAQGAPfFx55mNqkZdXYCdgNuMLN+wGfk7xZTtmY1Ib1gZjbOzKrNrLpHj2yLyzrnXCuzahVcfXXtoII996wbgM45B5YvD2c7Tz/dKgIQFNgdZ2aLzGyKmd1vZv9tZp01QI2ZPRtf30MISu/HrjTi3w/Sym+Rtn1PYGED6T2zpJOnDueca3vefReOPDIEnXXWCYEmpUcPuPdeWLs2BJ4rr4SNNkqurTmUfO64GMTmS0rdvn8gYdTdFCA1wm0YcH98PgU4Po6SGwAsj11qU4GBkrrFAQkDgakx7xNJA+KouOMz9pWtDueca/3M4P77YfPNQ+Dp3TsEmpShQ+Gtt0K5Dz4IAwuUrXOo9SjkmlAxnAHcIWkdwiqtJxAC4t2STgTeA34Qyz4IHALMBT6PZTGzJZIuAZ6P5S42syXx+SnA7UAF8FB8AIzOUYdzzrVOn3wCl1wCY8Zkzx8zBs48M5wJtUF5Z0yQ1AF4xcx2zFmonSvnGRN8YTznEvLSS2E021NP1c/baSf44x/hO98pfbsaoUVmTDCztcDLknyIWJlJLYy3YNkKjNqF8SbPWJB005xrf9asgT/9KQyflqBfv7oB6OSTYfHi0M32yiutPgA1RiHdcZsBsyQ9RxjJBoCZHV60VrnE5VsYz8+GnGsBixbByJEwYUL9vPXXhxtuCPfzdGjfy74VEoR+W/RWuFbHF8ZzrgimTYNTTgmDBzIddBBcey1st13p25WgBoOQmT0uaUugj5n9U1IXoGND27m2bfPKChZkCTi+MJ5zjbBiBfzud3DRRdnzL7oIRoyALl1K2aoGlfJ6cCETmJ5EuJfnTzGpCphclNa4VsMXxnOuid54AwYNCtd2unSpG4C23hqmTg3XdszgwgtbZQAq5fXgQjobTwP2Aj4GMLM5QNbpblz7MbRfFZcfsRNVlRUIqKqs4PIjdvLrQc5lSs23tsEGIfBstx08/HBt/nHHwcKFodzcuTBwYHJtLUC+68HFUMg1oZVm9mVcDQFJnWjkNDiubRrar8qDjnPZfPRRWPLghhuy599wA5x0EnRse1cuSn09uJAzoccl/QqokHQQ8Ffg70VpjXPOtVZPPQW77BLOdjbZpG4A2msvePHF2m62k09ukwEIcl/3Ldb14EKC0EjCrNczgZ8TZjC4oCitcc651uLLL8N8a6kJQb/znXCPTsqIEbUTgv773+Hennag1NeDCxkdt1bSeOBZQjfcbMs3zYJLnM904FwTzZsHv/wl/O1v9fO+/vVw9jNkSKufj605UseKUh1DGgxCkr4H3Ai8RVgmYStJPzezh/Jv6ZKQGtmSurCYGtkCeCByLpMZTJ4c7t15//36+UccAVddFSYKLSOlvB5cSHfcVcD+Zrafme0L7A9cU9xmuaYq9cgW59qcjz+Gc8+tXWX0iCPqBqArr4SVK0OAuvfesgtApVbI6LgPzGxu2uu38XV4Wi2f6cC5LGbMgNNOC4u5ZdpllzAh6Le/Xfp2udxBSNIR8eksSQ8CdxOuCf2A2uUTXCvjMx04R+2EoKedlj3/1FPD8gjdu5e2Xa6efN1xh8XHesD7wL7AfoSRct2K3jLXJD7TgStbCxfCj38cutk6daobgDbcEO64o3aV0euv9wDUSuQ8EzKzE0rZEJdbY0a7lXpki3OJmjo1DCp45536eYMGhQlB+/oPsNaskNFxWxFWQu2dXt6XciiNpox285kOXLv1+edwxRVw8cXZ8y++OAw6qPDu57aikIEJk4FbCLMkrC1uc1wmX9fHlb3XXgvLVz/ySP28Pn3CoILvfrf07XItopAg9IWZjS16S1xWPtrNlZ21a8OEoCefHJZCyDRsGIweHW4edW1eIUHoWkkXAg8DK1OJZvZi0VrlvuKj3VxZ+PBDOP98GDeufl6HDmGmghNPbLPzsbncCrlZdSfgJGA04cbVq4Arm1uxpI6SZkh6IL7eStKzkuZIukvSOjF93fh6bszvnbaPUTF9tqRBaemDY9pcSSPT0rPW0Zr5aDfXbj35JOy0UxjN1qNH3QC0997w0kthJNuaNTB8uAegdqqQIPT/gG+Y2b5mtn98HNACdf8CeD3t9RXANWbWB1gKnBjTTwSWmtk2hJkargCQtD1wFLADMBj4YwxsHYHrgYOB7YGjY9l8dbRavq6Paze+/DKsMpqaEHSffeDVV2vzzzsvzGZgBk88EW4ide1eId1xLwOVtOAsCZJ6At8DLgN+qbBY0QHAMbHIeOAi4AZgSHwOYYXX62L5IcAkM1sJvCNpLtA/lptrZm/x7+YxAAAaA0lEQVTHuiYBQyS9nqeOxBQy/NpHu7k26+234eyzYcqU+nmbbx662Q47rF1PCOryKyQIbQq8Iel56l4Tas4Q7d8D/wNsGF9vDCwzs9XxdQ1hGXHi3/mxztWSlsfyVcAzaftM32Z+RvoeDdRRh6ThwHCAXr16NeHtFcYnG3XtTmq+tVNOCdd5Mh15ZJibbcstS9821yoVEoQubMkKJR1KmI/uBUn7pZKzFLUG8nKlZ+tizFe+fqLZOGAcQHV1ddGWrUhy+LUv9+BazPLl8NvfwjU55jW+5powe0HnzqVtl2sTCllP6PEWrnMv4HBJhxCmBNqIcGZUKalTPFPpCSyM5WuALYCauLR4V2BJWnpK+jbZ0j/MU0cikhp+7WdgrtmmTw+B5bnn6ufttluYFmfAgNK3y7U5DQ5MkPSJpI/j4wtJayR93NQKzWyUmfU0s96EgQWPmtmxwGPAkbHYMOD++HxKfE3MfzQuqjcFOCqOntsK6AM8R5hctU8cCbdOrGNK3CZXHYko9TK6Kb7cg2u01avhuutqBxV861t1A9Dpp8OSJaE77oUXPAC5ghVyJrRh+mtJQ6kdANCSzgMmSboUmEGYpYH4989x4MESQlDBzGZJuht4DVgNnGZma2IbTwemAh2BW81sVgN1JGLEoL51zkigNMOv/QbYltcuuzcXLAhLWE+cWD+va9cwqOCoo3xQgWsWNWWlbknPmFlZ/NSprq626dOnF23/SRy89hr9aNYbYKsqK3hqZEuMvi8vmd2bEH5MtMmh9A89FAYVvPtu/byDD4bf/x6++c3St8u1OZJeMLPqhsoVMoHpEWkvOwDV5Lig7xovieHXSZ2BtVdten6/zz6Dyy+Hyy7Lnn/ppXDOObDeeqVtlysbhYyOOyzt+WpgHuEeHddG+XIPLavNdW/OmgVnnAGPPVY/r2/fMCHoAX5G7EqjkGtCvq5QO5TtDKxdXtcogVY/v9/atTB+fOhmW7myfv4JJ4SzoU03LX3bXNnLt7z3b/JsZ2Z2SRHa4xLiw7abrlV2by5eDL/6Fdx8c/28zp3DoIITTgiTgzqXoHzfwM+yPCDMt3ZekdvlSsyHbTddq5nf7/HHYfvtw2i1r32tbgDad1945ZUwhPrLL8OM1B6AXCuQb3nvq1LPJW1ImHD0BGASYSZt1460uesarUwi8/utXAlXXx3OeLIZNSrkbbBBadvlXCPkvSYkqTvwS+BYwoSfu5nZ0lI0zJVWq7+u4YK5c8OEoA88UD+vZ8/QzXbooaVvl3NNlPN8XNIYwuwDnwA7mdlFHoDaL1+3qJUyg7vvhu7dQzdbnz51A9CPfgTvvRfKzZ/vAci1Ofk6hc8BNgcuABamTd3zSXOm7XGtU6u5ruFg2TI466wQdDp0CIFmadrvv2uvhVWrQuCZNAm22CL3vpxr5fJdE/KrlmXG1y1K0PPPw6mnholBM1VXhwlB+xdjtiznkuWBxrkkrF4NY8fWTgjav3/dAHTmmeHsxywEKA9Arp0qZMYE51xLmD8fzj03XOPJ1K0b3Hgj/OAHPiGoKysehJwrpn/8A04+GWpq6ucdemhY8G2bbUrfLudaCe+Oc64lffZZuDcn1c126KF1A9D//i988UXoZvv73z0AubLnZ0Ku3Uhs7ruZM8OEoI9nWYR4u+3ChKD77Vf8drQhPk+hS/Eg5NqFks59t3Yt3HprmBB09er6+T/7WTjj6dGjZettJ3yeQpfOu+PaoMkzFrDX6EfZauQ/2Gv0o0yesSDpJiWu6HPfffAB/PSnoYutY0c46aTaALTuuiEorVkTutluuskDUB4+T6FL52dCbYz/isyuKHPfPfZYONuZneXguP/+YYj1jjs2ff9lyucpdOk8CCWssX3jjV3Fs1z63ltk7rsvvoCrroILLsief/75YVLQ9ddvYisd+DyFri7vjiuBXN1nqbOaBctWYNSe1eTrXmvMr8im7L+tavLcd3PmwCGHhG62ioq6AWjLLcMQa7PwuPRSD0AtwOcpdOlKHoQkbSHpMUmvS5ol6RcxvbukaZLmxL/dYrokjZU0V9IrknZL29ewWH6OpGFp6btLmhm3GSuFu/9y1VFM+QJBU/rGc/1azJZeTn3vBc99ZwYTJ0JlZQg83/wmPPRQbf7RR4ebSs1g3rwQoFyL8nkKXTqZWWkrlDYDNjOzF+M6RS8AQ4GfAEvMbLSkkUA3MztP0iHAGcAhwB7AtWa2R1xmYjpQDVjcz+5mtlTSc4T1j54BHgTGmtlDkn6XrY587a2urrbp2ebzKtBeox/N2vVQVVnBwhiYMgl4Z/T3su4v85oQhF+R2f4TbzXyH43ef7El0j24dCn85jdw3XXZ8//wh3BDaSfvnXaupUh6wcyqGypX8jMhM1tkZi/G558ArwNVwBDCmkXEv0Pj8yHABAueASpjIBsETDOzJXGJiWnA4Ji3kZk9bSHCTsjYV7Y6iiZf91nXis5Z83KlQ+N+RTbmrKkUSto9+MwzsPvu4Wyne/e6Aah/f3juudputtNP9wDkXEISvSYkqTfQD3gW2NTMFkEIVMDXYrEqYH7aZjUxLV96TZZ08tSR2a7hkqZLmr548eKmvj0gfyDINUWYlH8Y9tB+VTw18gCu+dGuAJx910tZh2oXu++9sUPFi9o9uGpVmAInNVPBnnvCiy/W5p99dlgiwQyefRa+9a3m1+mca7bEgpCkDYB7gbPMLN/6RNkO1daE9IKZ2Tgzqzaz6h7NvN8jXyBY9vmqrNss/XxVg2cMhZxVFLPvvdiDKgry3nu1E36usw788pe1eRtvDH/9a7ix1Cwsg921a9Pqcc4VTSJBSFJnQgC6w8zui8nvx6601HWjD2J6DZC+aldPYGED6T2zpOero2jyBYJcZ0kdpQbPGAo9q0idNb0z+ns8NfKAFrv+UuxBFVmZwZQpUFUVAs+WW8I999TmH354WP7ajMnTXmavud3ZatSDfkOvc61YEqPjBNwCvG5mV6dlTQFSI9yGAfenpR8fR8kNAJbHrrSpwEBJ3eIot4HA1Jj3iaQBsa7jM/aVrY6iyhUIcp0lrckxWCR9gEOSN/xNnrEg62CLhupvUvfgp5/CyJG1q4wOGQILF9bmjx5dOyHo/ffD1luX1dB059q6JM6E9gKOAw6Q9FJ8HAKMBg6SNAc4KL6GMLrtbWAucBNwKoCZLQEuAZ6Pj4tjGsApwM1xm7eA1BjcXHUkItdZUrcuuQcmpA6kSQ06SB3gczHIeeZRcPfgyy/D3nuHwLPhhnDFFbV5O+4ITzxRO6jgvPPCtDlpymlounNtXcmHaLc1zR2i3Rip4cu5zjIgHLifGnlAo4Zqt6RcQ84zNaota9bALbeEKXLWrq2fP3w4XHYZbLJJneRcw71b49B058pNoUO0fVxqkaUfKCu7dMYMlq9YVe8emWxBJZtUd1dqu1Lfc1Nod1++qYQA+O9/Qzfb+PH1slavtx6jDz2TW7/xHTbrtn54X1kCUK459NrKtDDlMqWSc/l4ECqizAPl0rTRcJkTj2brQspm88qKegeva360K0P7VX01ZDrzoNaSB7tcB/hs6gWsRx4JZztz5tQvfOCBMHYsF7y5hjueee+rM5lcE7Tm63IbMahv1rPE1jQtjE9E61zgQaiIGgos6dcpCjmwd+4o9t+2R9aD1/R3l3DvCwsKToemHeyyHeBF9jHwvdfvABdfDBdemH1nv/lNuKbTpQsQDsx3PPNSvX1lO6vKNzAjqbPExmjsRLTOtVcehIqokK6rBctWcNZdLzVYrluXzlx42A45D14Tn51fb1RdvvSmHuyyHeD337bHV4HuGx/VcOEj49j3nRfrb7zVVmGV0cGDs+57zNTZOW/oyvwsG+pyG9qvqlUfzH05A+cCD0JF1Jiuq2yyXdw/O0fAyjWsO1d6cw52dQ7wZnDnnVx4zcl0/uzT+oWPPRZ+9zvYfPMG95uvTZnXc9pCl1s+beW6lXPF5ks5FFHvjZt3QMk2uizfDa6NSW/WwW7JEjj11Np7d37847oB6PrrwzQ6ZvCXvxQUgPK1SVAvuLTmmZgLmc7IlzNwLvAzoSK5YPJMnnprScMFc6iqrMh6QM11BvD93avqXPtpKL2Qg136gIaBy9/md4/eSNc3X6tX7tUttmPUAT9nybY7NevaS67rTccO6JV1n62xy63QAQdt4bqVc6XgQahIJj47v+FCeey/bfY56/IdvKq37N6o9Hzuf24es8+/jKf+eXP2AuecwwNDfsaIh+fVBo14feu3f5/FhYft0OgDans4MDdmwEFrDKLOlZrfrNqApt6s2nvkP5pVb2VFZ9Zft1OzDsaNHZo99R/Psu55I9hv1pP18hZ3qeSCgafyav8DeGrUgUD+G1dLceNsa1SuN8r6PU8uU6E3q3oQakBSQShTahh0VYH/wSfPWMCIv77MqrW1/76dO4gf9d+Cx95YHA4WXdfj6nXeYY8xF8D779fbx9Q+A7jkgJ9RU/n1Oun5FuTLLPfUyAMKfIftQ75FDNvrZ5HU7B2udfMZE9qZ9Js3z7rrJX513yus06kjy1asoqPEGrOv/lZVVrDks5V1AhDAqrXG3x5/gzP/M4mfP3df/UqAy/b7KbdXH8aqjtnnrxOF3dMEhY3Aa2+/oNv6qL2m8HueXHN4EGqjPl+1ls9XhXnWUsOwU38zg8QO77/Fb6fdSPWC1+vt5/Uevbn04NN4arPtGqwz102puTQ0Aq89zhrQHq5rNZbf8+Saw4NQO9Rh7RqOfnkqlz38x6z5f9n1YK7c5ziWVWxU8D5TZ1mFKuTXf0O/oNvqWVJrHXBQrM/T73lyzeFBqJ3o8ekSRv3rNo6Y9Vi9vM86r8cFA0/lbzvsT841xRuQLwClrlNlHuCArHPZpeT7BX3B5JkFzSHnClPMs85y7IJ0LceDUBu29zsvcunDf2TLZf+tl/dE73789rvDeWvjLbJs2bI+/3I1wFdLTIyZOpuz7nqpTvddtoNerl/QXSs61wlAKX6doemKed2mHLsgXcvxINSGrLtqJac8ew9nPTUxa/41ex3DjXt8n5Wd182aXyxLP1+VdbLUhoLI/tv24C/PvFdvf1+uXlPwHHKl1Fa7B6H4121aaxeka/08CBVBSy4jvfVH87nwn+PYZ96MennzKjfj1wNP4cmtdmux+poq12SpmdIPev94ZVHWMqkBF9kUcp2hGMGirQ+i8Os2rrXyIFQEF02Z1fSNzfh/sx7jsoevp8uqlfWy791hf0bvdwKLN+jejBYWRyEDF1IHvckzFtRZX6kQ2eaQy1SsYNHWhyH7dRvXWnkQKoJlKxp3cK1c8TEjnpjAsS/9X9b8Xw06jUk7D2Rth45Z89uK9INeah2lbLp16cwXq9YWPIdcumIFi7Y+DNmv27jWyoNQQqprZnHJwzew3eJ59fKer9qeiw76ObM23br0DaP+/UACuqzTkc++bHjl12zbZpvpId/B+8LDdgCadsAsVrBoD91Zft3GtUZlGYQkDQauBToCN5vZ6GLX2XnNKk6YPoVf/eu2rPk39j+CP3z7KD5bt0uxm5JXR4mrfrhLzoPVBZNnZh1MkJIKOA0Fj1wH9dQA8qYeMIsVLLw7y7niKLsgJKkjcD1wEFADPC9pipnVX6OgCdLnjOu57L/svuB19n3nxXr373ywfjfOH3Qa07bZo8n37hRDvgAEcOnQnQByBqJC50jLdlCHEMRaevnxlggW3p3lXHGUXRAC+gNzzextAEmTgCFAiwShlK0/ms8jN58CwEcVG/Flh048sk1/LjvgRGq6btqSVbWYyorOBR1UU4Eo816exhzsU/Wcc/fLRV9+vKWChXdnOdfyyjEIVQHpi/3UAHukF5A0HBgO0KtXryZVsmjDTZi480Ce3nJnHth271Y/qKBzB3HR4TsUXP7SoTs1aZ2idEP7VeVcrrzFlh93zrVq5RiEsvV91fkpbmbjgHEQlnJoSiWfr1PBqIPPbMqmRVdZ0RmJr4ZIV1Z05qLDm7YIXXMP9u3hgr9zrunKMQjVAOlz2fQEFibUlmbpABwzoBePvbGYBctWFDTLdUXnjk0KOMXiF/ydK2/lGISeB/pI2gpYABwFHNNSO583+nstvqBdNg2dvVwweWa9GQwKXRCvlPyCv3PlrSxXVpV0CPB7whDtW83sslxlm7qyqnPOlTNfWTUPM3sQeDDpdjjnXLnrkHQDnHPOlS8PQs455xLjQcg551xiPAg555xLTFmOjmsMSYuBd5u4+SbAhy3YnLbOP4+6/POo5Z9FXe3h89jSzHo0VMiDUBFJml7IEMVy4Z9HXf551PLPoq5y+jy8O84551xiPAg555xLjAeh4hqXdANaGf886vLPo5Z/FnWVzefh14Scc84lxs+EnHPOJcaDkHPOucR4EGoBkgZLmi1prqSRWfLXlXRXzH9WUu/St7J0Cvg8fiJpsaSX4uNnSbSzFCTdKukDSa/myJeksfGzekXSbqVuY6kU8FnsJ2l52vfiN6VuYylJ2kLSY5JelzRL0i+ylGn33w8PQs0kqSNwPXAwsD1wtKTtM4qdCCw1s22Aa4ArStvK0inw8wC4y8x2jY+bS9rI0rodGJwn/2CgT3wMB24oQZuScjv5PwuAJ9O+FxeXoE1JWg2cY2bbAQOA07L8X2n33w8PQs3XH5hrZm+b2ZfAJGBIRpkhwPj4/B7gQEnZlhlvDwr5PMqGmT0BLMlTZAgwwYJngEpJm5WmdaVVwGdRVsxskZm9GJ9/ArwOZK7m2O6/Hx6Emq8KmJ/2uob6X6SvypjZamA5sHFJWld6hXweAN+P3Qv3SNoiS365KPTzKhd7SnpZ0kOSdki6MaUSu+j7Ac9mZLX774cHoebLdkaTOe69kDLtRSHv9e9AbzPbGfgntWeJ5aicvhsNeZEw39guwB+AyQm3pyQkbQDcC5xlZh9nZmfZpF19PzwINV8NkP5LviewMFcZSZ2ArrTfbokGPw8z+8jMVsaXNwG7l6htrVEh35+yYGYfm9mn8fmDQGdJmyTcrKKS1JkQgO4ws/uyFGn33w8PQs33PNBH0laS1gGOAqZklJkCDIvPjwQetfZ7l3CDn0dGn/bhhL7wcjUFOD6OghoALDezRUk3KgmSvp66ViqpP+H49FGyrSqe+F5vAV43s6tzFGv3349OSTegrTOz1ZJOB6YCHYFbzWyWpIuB6WY2hfBF+7OkuYQzoKOSa3FxFfh5nCnpcMLooCXATxJrcJFJmgjsB2wiqQa4EOgMYGY3Ag8ChwBzgc+BE5JpafEV8FkcCZwiaTWwAjiqHf9YA9gLOA6YKemlmPYroBeUz/fDp+1xzjmXGO+Oc845lxgPQs455xLjQcg551xiPAg555xLjAch55xzX2lootmMsr3iJKwz4gwohzS2Pg9CzmUhySRdlfb6XEkXtdC+b5d0ZEvsq4F6fhBnaH4sI/0dSX0z0n4v6X8kVUsaW+y2uVbtdhqeaDblAuBuM+tHuPXkj42tzIOQc9mtBI5obXfsx1nKC3UicKqZ7Z+RPom0e9UkdSDco3OXmU03szOb31LXVmWbaFbS1pL+T9ILkp6UtG2qOLBRfN6VJszm4EHIuexWA+OAszMzMs9kJH0a/+4n6XFJd0t6U9JoScdKek7STElbp+3mu/E/85uSDo3bd5Q0RtLzsWvj52n7fUzSncDMLO05Ou7/VUlXxLTfAN8BbpQ0JmOTidS9YXofYJ6ZvRvreiDuY/3YNfN87G4ZEtMflLRzfD4j1oWkSyT9TNJmkp5QWBPoVUl7F/6xu1ZqHHCGme0OnEvtGc9FwI/jzccPAmc0dsc+Y4JzuV0PvCLpd43YZhdgO8IvybeBm82sv8KCZWcAZ8VyvYF9ga2BxyRtAxxPmJblW5LWBZ6S9HAs3x/Y0czeSa9M0uaE9al2B5YCD0saamYXSzoAONfMpqdvY2avSForaRcze5kQkCZmeS/nE6aY+qmkSuA5Sf8EngD2ljSPEKz3iuW/A/wFOAaYamaXxTO3Lo34/FwrozDB6reBv6p2BZp149+jgdvN7CpJexJmhtnRzNYWun8PQs7lYGYfS5oAnEmYRqYQz6fm9pL0FpAKIjOB9G6xu+N/1DmS3ga2BQYCO6edZXUlLGb2JfBcZgCKvgX8y8wWxzrvIJzZNDQD9UTgKEmzCGvWZFvFdCBwuKRz4+v1CFPKPEn4TN4B/gEcJKkLYWb02ZI2BW5VmJxzspm9lGXfru3oACwzs12z5J1IvH5kZk9LWg/YBPigMTt3zuX2e8J/tPXT0lYT/+8o/DRcJy1vZdrztWmv11L3R1/mfFlGmLb/jLSVRbcys1QQ+yxH+5q6OOJE4IfAd4FXzCzbQUPA99Pa08vMXidMUlsN7E04K5oBnAS8AF9dU9gHWED4ZXx8E9voWoG4vMQ7kn4AXy05vkvMfg84MKZvR/ihsrgx+/cg5FweZrYEuJsQiFLmUbv8xBDiJJyN9ANJHeJ1om8AswmTvp4SzyCQ9E1J6+fbCWERtH0lbRK7vo4GHm+ocjN7izBD9Wiyd8UR23NGDLRI6he3/ZKw0NoPgWcIZ0bnxr9I2hL4wMxuIkzeu1tD7XGth8JEs08DfSXVSDoROBY4UdLLQOrsGeAc4KSYPhH4SWMnnfXuOOcadhVwetrrm4D7JT0HPELus5R8ZhOCxabAyWb2haSbCdeKXowH/sXA0Hw7MbNFkkYBjxHOXB40s/sLbMNE4HLgbznyLyGcCb4S2zMPODTmPQkcaGafS3qSsM7NkzFvP2CEpFXAp4RrXa6NMLOjc2TVG7ZtZq9Re02wSXwWbeecc4nx7jjnnHOJ8SDknHMuMR6EnHPOJcaDkHPOucR4EHLOOZcYD0LOOecS40HIOedcYv4/mxE9PQ+blDcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter Plot\n",
    "# Views vs Comment Count\n",
    "\n",
    "#Setting up variables using the \"Views\" and \"Comment Count\" columns from data\n",
    "views = last_occ['views']\n",
    "comments =last_occ['comment_count']\n",
    "X = []\n",
    "for index in views:\n",
    "    X.append([index])\n",
    "\n",
    "#Plot Views vs Comment Count\n",
    "plt.scatter(views,comments)\n",
    "\n",
    "#Labelling the axes and title\n",
    "plt.xlabel('Number of Views')\n",
    "plt.ylabel('Number of Comments')\n",
    "plt.title('Views vs Comment Count per Video')\n",
    "\n",
    "#Plotting the linear regression of the overall graph\n",
    "lin = LinearRegression()\n",
    "lin.fit(X, comments)\n",
    "plt.plot(X, lin.predict(X), color = 'red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "it can be seen that most videos that have a lot of commets tend to have a fewer amount of views. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Channel titles vs. View counts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we would like to invesgate the assoiciation between channel title and view counts. Thus, we first groupby channel title, count the sum of view counts and list in descending order."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "copy = last_occ.copy()\n",
    "grouped = copy.groupby('channel_title').views.sum().sort_values(ascending = False).to_frame().reset_index()\n",
    "top_100_df = grouped[:100]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Number of View Counts')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#distribution of view count, all channels\n",
    "plt.rcParams['figure.figsize'] = [8, 5]\n",
    "ax = sns.distplot(grouped[pd.notnull(grouped['views'])]['views'], rug=False, hist=True, hist_kws={'density': True, 'normed': None}, color = 'salmon')\n",
    "ax.set_xlabel('Number of view Counts')\n",
    "ax.set_ylabel('Density')\n",
    "ax.set_title('Distribution of Number of View Counts')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above plot is the distribution of view counts by all groups. Since there are more than 2000 groups, the top ones have significant numbers of view counts while the data is very right-skewed, we decide to take the top 100 most-viewed channel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Taking a closer look at the top 100 most-viewed channels\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Number of View Counts for the top 100 most-viewed Channels')"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Distribution of view counts, top 100 channels\n",
    "print('Taking a closer look at the top 100 most-viewed channels')\n",
    "plt.rcParams['figure.figsize'] = [8, 5]\n",
    "ax = sns.distplot(top_100_df[pd.notnull(top_100_df['views'])]['views'], rug=False, hist=True, hist_kws={'density': True, 'normed': None}, color = 'salmon')\n",
    "ax.set_xlabel('Number of View Counts')\n",
    "ax.set_ylabel('Density')\n",
    "ax.set_title('Distribution of Number of View Counts for the top 100 most-viewed Channels')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above plot is the distribution of view counts by top 100 groups. We can see that the plot is still right-skewed but much better than the one before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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>channel_title</th>\n",
       "      <th>mean_view</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>ChildishGambinoVEVO</td>\n",
       "      <td>225211923.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>BeckyGVEVO</td>\n",
       "      <td>139334502.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>TheWeekndVEVO</td>\n",
       "      <td>122544931.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>LuisFonsiVEVO</td>\n",
       "      <td>102012605.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>MalumaVEVO</td>\n",
       "      <td>73570842.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         channel_title    mean_view\n",
       "0  ChildishGambinoVEVO  225211923.0\n",
       "1           BeckyGVEVO  139334502.0\n",
       "2        TheWeekndVEVO  122544931.0\n",
       "3        LuisFonsiVEVO  102012605.0\n",
       "4           MalumaVEVO   73570842.0"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "with_mean = copy.groupby('channel_title').views.mean().sort_values(ascending = False).to_frame().reset_index()[:100]\n",
    "with_mean = with_mean.rename(columns={'views': 'mean_view'})\n",
    "with_mean.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Mean View Counts for the top 100 most-viewed Channels')"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Distribution of mean view counts, top 100 channels\n",
    "plt.rcParams['figure.figsize'] = [8, 5]\n",
    "ax = sns.distplot(with_mean[pd.notnull(with_mean['mean_view'])]['mean_view'], rug=False, hist=True, hist_kws={'density': True, 'normed': None}, color = 'orange')\n",
    "ax.set_xlabel('Mean of View Counts')\n",
    "ax.set_ylabel('Density')\n",
    "ax.set_title('Distribution of Mean View Counts for the top 100 most-viewed Channels')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Mean View Counts of the Top 100 Most-Viewed Channels')"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 216x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#box plot of mean view counts, top 100 channels\n",
    "plt.rcParams['figure.figsize'] = [3, 7]\n",
    "ax = sns.boxplot(data=with_mean, y = 'mean_view')\n",
    "ax.set_title('Mean View Counts of the Top 100 Most-Viewed Channels')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the box plot of mean view counts for the top 100 channels. The max point is at the very top of the plot which can be seen as an outlier, and the median falls at the bottom in between first and third quantile. We can still see that the majority are those with relatively smaller mean view counts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Name of Channels')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#barh plot of view counts, top 50 channels\n",
    "plt.rcParams['figure.figsize'] = [10, 10]\n",
    "top_100_df[:50].sort_values(by = 'views').set_index('channel_title').plot(kind='barh', title = 'Top 50 Channels with the Most Total View Counts')\n",
    "plt.xlabel('Total View Counts')\n",
    "plt.ylabel('Name of Channels')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Name of Channels')"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#bar plot of mean view counts, top 50 channels\n",
    "plt.rcParams['figure.figsize'] = [10, 10]\n",
    "with_mean[:50].sort_values(by = 'mean_view').set_index('channel_title').plot(kind='barh', title = 'Top 50 Channels with the Most Mean View Counts')\n",
    "plt.xlabel('Mean View Counts')\n",
    "plt.ylabel('Name of Channels')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trending duration vs. change in view counts "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are trying to see the relationship between trending duration and view counts. Since this dataframe contains multiple trending days for each video, we decided to use the last day of trending to avoid conflicts and confusion. In the following codes, we created a new dataframe without some unecessary rows that contains different trending days of a video. We also reformatted the columns of publish time and trending date because we need to calculate the difference between two. Then, We inserted a new column that called \"publish_to_trend_duration\" that contains trending durations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1c30a39d68>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel('trending duration')\n",
    "plt.ylabel('change in views')\n",
    "plt.scatter(td['trend_dur'],td['view_diff'])\n",
    "\n",
    "sns.regplot(x='trend_dur', y='view_diff', data=td, line_kws={'color':'red'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 6346 artists>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(td['trend_dur'],td['view_diff'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Data Analysis and Results\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "copy = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "#add in like and dislike ratio into dataframe\n",
    "copy['like_dislike_ratio'] = copy['likes'] / copy['dislikes']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "#create first occurrence and last occrrence dataframes\n",
    "first_occ = copy.sort_values('trending_date').drop_duplicates(subset = ['video_id'], keep = 'first')\n",
    "last_occ = copy.sort_values('trending_date').drop_duplicates(subset = ['video_id'], keep = 'last')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Right now, the view count column has too many various view counts which will make prediction even harder, so we decided to replace the number with its corresponding quantile (ranging from min view counts to max view counts, 10 in total)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "first_occ['view_count_range'] = pd.qcut(first_occ.views,10, labels=False)\n",
    "last_occ['view_count_range'] = pd.qcut(last_occ.views,10, labels=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import OneHotEncoder\n",
    "from sklearn.preprocessing import OrdinalEncoder\n",
    "from sklearn.compose import ColumnTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "#X being the selected feature used to predict as y being the predicted result\n",
    "X = first_occ[['channel_title','like_dislike_ratio','category_id', 'comment_count']]\n",
    "y = first_occ['view_count_range']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "#preprocessing / one hot encoder\n",
    "cat_feat = ['category_id']\n",
    "channel_feat = ['channel_title']\n",
    "cat_trans = Pipeline(steps=[('cat_trans', OneHotEncoder(handle_unknown = 'ignore'))])\n",
    "channel_trans = Pipeline(steps=[\n",
    "    ('ordinal', OrdinalEncoder()),\n",
    "    ('channel_trans', OneHotEncoder(handle_unknown = 'ignore'))])\n",
    "pre = ColumnTransformer(transformers=[('cat', cat_trans,cat_feat),\n",
    "                                      ('channel', channel_trans, channel_feat)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/tyy/anaconda3/lib/python3.6/site-packages/sklearn/ensemble/forest.py:246: FutureWarning: The default value of n_estimators will change from 10 in version 0.20 to 100 in 0.22.\n",
      "  \"10 in version 0.20 to 100 in 0.22.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('preprocessor', ColumnTransformer(n_jobs=None, remainder='drop', sparse_threshold=0.3,\n",
       "         transformer_weights=None,\n",
       "         transformers=[('cat', Pipeline(memory=None,\n",
       "     steps=[('cat_trans', OneHotEncoder(categorical_features=None, categories=None,\n",
       "       dtype=<class 'numpy.float6...obs=None,\n",
       "            oob_score=False, random_state=None, verbose=0,\n",
       "            warm_start=False))])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#fit the model\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "clf = RandomForestClassifier()\n",
    "pl = Pipeline(steps=[('preprocessor', pre),\n",
    "            ('clf', clf)\n",
    "        ])\n",
    "pl.fit(X , y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pre = pl.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Predicted view count range vs. the original')"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [20, 5]);\n",
    "plt.plot(y_pre[:400],color = 'r')\n",
    "plt.plot(y.values[:400])\n",
    "plt.title(\"Predicted view count range vs. the original for first occurrence\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/tyy/anaconda3/lib/python3.6/site-packages/sklearn/ensemble/forest.py:246: FutureWarning: The default value of n_estimators will change from 10 in version 0.20 to 100 in 0.22.\n",
      "  \"10 in version 0.20 to 100 in 0.22.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Pipeline(memory=None,\n",
       "     steps=[('preprocessor', ColumnTransformer(n_jobs=None, remainder='drop', sparse_threshold=0.3,\n",
       "         transformer_weights=None,\n",
       "         transformers=[('cat', Pipeline(memory=None,\n",
       "     steps=[('cat_trans', OneHotEncoder(categorical_features=None, categories=None,\n",
       "       dtype=<class 'numpy.float6...obs=None,\n",
       "            oob_score=False, random_state=None, verbose=0,\n",
       "            warm_start=False))])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = last_occ[['channel_title','like_dislike_ratio','category_id', 'comment_count']]\n",
    "y = last_occ['view_count_range']\n",
    "cat_feat = ['category_id']\n",
    "channel_feat = ['channel_title']\n",
    "cat_trans = Pipeline(steps=[('cat_trans', OneHotEncoder(handle_unknown = 'ignore'))])\n",
    "channel_trans = Pipeline(steps=[\n",
    "    ('ordinal', OrdinalEncoder()),\n",
    "    ('channel_trans', OneHotEncoder(handle_unknown = 'ignore'))])\n",
    "pre = ColumnTransformer(transformers=[('cat', cat_trans,cat_feat),\n",
    "                                      ('channel', channel_trans, channel_feat)])\n",
    "clf = RandomForestClassifier()\n",
    "pl = Pipeline(steps=[('preprocessor', pre),\n",
    "            ('clf', clf)\n",
    "        ])\n",
    "pl.fit(X , y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pre = pl.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c2ff9a080>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [20, 5]);\n",
    "plt.plot(y_pre[:400],color = 'r')\n",
    "plt.plot(y.values[:400])\n",
    "plt.title('Predicted view count range vs. the original view count for last Occurrence')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the four selected features, channel_title,like_dislike_ratio,category_id and comment_count, we used the model of randomforest to predict the view count ranges for the first occurrence dataframe and last occurrence dataframe. The prediction result is graphed in the above plots respectively with red curves as the predicted and blue ones as the original. We notice that there are more parts of the red curve not aligning the blue curve in the first graph than that in the the second graph. Thus, the model didn't fit as well for the first_occ as for the last_occ. Nevertheless, the matching was considerable for the last occurance graph, meaning the features we selected are important factors for trending videos. Having this prediction overview, we then take a closer look at how category alone will predict trending. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:            first_views   R-squared:                       0.027\n",
      "Model:                            OLS   Adj. R-squared:                  0.025\n",
      "Method:                 Least Squares   F-statistic:                     11.89\n",
      "Date:                Tue, 04 Jun 2019   Prob (F-statistic):           1.51e-29\n",
      "Time:                        17:23:57   Log-Likelihood:            -1.0076e+05\n",
      "No. Observations:                6346   AIC:                         2.016e+05\n",
      "Df Residuals:                    6330   BIC:                         2.017e+05\n",
      "Df Model:                          15                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "=====================================================================================================\n",
      "                                        coef    std err          t      P>|t|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------------\n",
      "Intercept                          4.064e+05   2.28e+05      1.784      0.074   -4.01e+04    8.53e+05\n",
      "category[T.Comedy]                 3.666e+05   2.42e+05      1.516      0.130   -1.08e+05    8.41e+05\n",
      "category[T.Education]             -5.438e+04   2.58e+05     -0.211      0.833   -5.59e+05    4.51e+05\n",
      "category[T.Entertainment]          4.113e+05   2.33e+05      1.768      0.077   -4.47e+04    8.67e+05\n",
      "category[T.Film & Animation]       5.141e+05   2.52e+05      2.044      0.041     2.1e+04    1.01e+06\n",
      "category[T.Gaming]                 8.055e+05   2.95e+05      2.729      0.006    2.27e+05    1.38e+06\n",
      "category[T.Howto & Style]          6.678e+04   2.41e+05      0.277      0.781   -4.05e+05    5.39e+05\n",
      "category[T.Music]                  9.829e+05   2.38e+05      4.139      0.000    5.17e+05    1.45e+06\n",
      "category[T.News & Politics]       -1.589e+05   2.43e+05     -0.654      0.513   -6.35e+05    3.17e+05\n",
      "category[T.Nonprofits & Activism]  6.189e+05   5.58e+05      1.109      0.267   -4.75e+05    1.71e+06\n",
      "category[T.People & Blogs]         3.064e+05   2.43e+05      1.260      0.208    -1.7e+05    7.83e+05\n",
      "category[T.Pets & Animals]        -1.263e+05    2.8e+05     -0.452      0.652   -6.74e+05    4.22e+05\n",
      "category[T.Science & Technology]   1.792e+05   2.48e+05      0.723      0.470   -3.07e+05    6.65e+05\n",
      "category[T.Shows]                   -1.4e+04   9.79e+05     -0.014      0.989   -1.93e+06    1.91e+06\n",
      "category[T.Sports]                 4.275e+05   2.45e+05      1.746      0.081   -5.24e+04    9.07e+05\n",
      "category[T.Travel & Events]       -1.648e+05   3.35e+05     -0.492      0.623   -8.22e+05    4.92e+05\n",
      "==============================================================================\n",
      "Omnibus:                    10450.596   Durbin-Watson:                   1.773\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):          8921569.301\n",
      "Skew:                          10.935   Prob(JB):                         0.00\n",
      "Kurtosis:                     185.379   Cond. No.                         46.6\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "outcome_1, predictors_1 = patsy.dmatrices(\"first_views ~category\",td)\n",
    "# YOUR CODE HERE\n",
    "mod_1 = sm.OLS(outcome_1, predictors_1)\n",
    "res_1 = mod_1.fit()\n",
    "\n",
    "# YOUR CODE HERE\n",
    "print(res_1.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:             last_views   R-squared:                       0.053\n",
      "Model:                            OLS   Adj. R-squared:                  0.051\n",
      "Method:                 Least Squares   F-statistic:                     23.55\n",
      "Date:                Tue, 04 Jun 2019   Prob (F-statistic):           3.66e-64\n",
      "Time:                        17:33:29   Log-Likelihood:            -1.0891e+05\n",
      "No. Observations:                6346   AIC:                         2.179e+05\n",
      "Df Residuals:                    6330   BIC:                         2.180e+05\n",
      "Df Model:                          15                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "=====================================================================================================\n",
      "                                        coef    std err          t      P>|t|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------------\n",
      "Intercept                          1.463e+06   8.23e+05      1.779      0.075   -1.49e+05    3.08e+06\n",
      "category[T.Comedy]                -3.478e+04   8.74e+05     -0.040      0.968   -1.75e+06    1.68e+06\n",
      "category[T.Education]             -8.546e+05   9.31e+05     -0.918      0.358   -2.68e+06     9.7e+05\n",
      "category[T.Entertainment]          2.847e+05    8.4e+05      0.339      0.735   -1.36e+06    1.93e+06\n",
      "category[T.Film & Animation]       1.091e+06   9.09e+05      1.201      0.230    -6.9e+05    2.87e+06\n",
      "category[T.Gaming]                 8.618e+05   1.07e+06      0.808      0.419   -1.23e+06    2.95e+06\n",
      "category[T.Howto & Style]         -5.268e+05    8.7e+05     -0.606      0.545   -2.23e+06    1.18e+06\n",
      "category[T.Music]                  4.578e+06   8.58e+05      5.337      0.000     2.9e+06    6.26e+06\n",
      "category[T.News & Politics]       -1.005e+06   8.78e+05     -1.145      0.252   -2.73e+06    7.15e+05\n",
      "category[T.Nonprofits & Activism]  7.556e+05   2.01e+06      0.375      0.708   -3.19e+06    4.71e+06\n",
      "category[T.People & Blogs]        -1.153e+05   8.78e+05     -0.131      0.896   -1.84e+06    1.61e+06\n",
      "category[T.Pets & Animals]         -7.26e+05   1.01e+06     -0.719      0.472   -2.71e+06    1.25e+06\n",
      "category[T.Science & Technology]  -3.336e+05   8.95e+05     -0.373      0.709   -2.09e+06    1.42e+06\n",
      "category[T.Shows]                 -7.009e+05   3.54e+06     -0.198      0.843   -7.64e+06    6.23e+06\n",
      "category[T.Sports]                -3.457e+04   8.84e+05     -0.039      0.969   -1.77e+06     1.7e+06\n",
      "category[T.Travel & Events]       -4.821e+05   1.21e+06     -0.398      0.690   -2.86e+06    1.89e+06\n",
      "==============================================================================\n",
      "Omnibus:                    11885.792   Durbin-Watson:                   1.847\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):         24432149.213\n",
      "Skew:                          14.089   Prob(JB):                         0.00\n",
      "Kurtosis:                     305.665   Cond. No.                         46.6\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "outcome_1, predictors_1 = patsy.dmatrices(\"last_views ~category\",td)\n",
    "# YOUR CODE HERE\n",
    "mod_1 = sm.OLS(outcome_1, predictors_1)\n",
    "res_1 = mod_1.fit()\n",
    "\n",
    "# YOUR CODE HERE\n",
    "print(res_1.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "The dataset we have here includes videos that are already trending only along with vital information about them such as the view counts, likes, dislikes, and comment counts. Out of the given information we have created a dataframe for our data analysis.\n",
    "\n",
    "Here we are determining a relationship between the category of the video and its view count when it first trended. In doing so, we see that Music and Gaming videos tend to affect the outcome more than other categories of videos. This is seen here as both Music and Gaming have p-values less than 0.01 and as a result we fail to reject the null hypothesis. As such, these two categories have a significant impact on the view count when a video first trends.\n",
    "\n",
    "However, as time goes on, the category of Music continues to retain its view count and trending status whereas the Gaming category tends to fall back in comparison. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:             last_views   R-squared:                       0.056\n",
      "Model:                            OLS   Adj. R-squared:                  0.053\n",
      "Method:                 Least Squares   F-statistic:                     23.27\n",
      "Date:                Tue, 04 Jun 2019   Prob (F-statistic):           3.04e-67\n",
      "Time:                        17:33:17   Log-Likelihood:            -1.0890e+05\n",
      "No. Observations:                6346   AIC:                         2.178e+05\n",
      "Df Residuals:                    6329   BIC:                         2.180e+05\n",
      "Df Model:                          16                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "=====================================================================================================\n",
      "                                        coef    std err          t      P>|t|      [0.025      0.975]\n",
      "-----------------------------------------------------------------------------------------------------\n",
      "Intercept                          1.226e+06   8.23e+05      1.489      0.136   -3.88e+05    2.84e+06\n",
      "category[T.Comedy]                -3.961e+05   8.77e+05     -0.452      0.651   -2.11e+06    1.32e+06\n",
      "category[T.Education]             -1.128e+06   9.32e+05     -1.211      0.226   -2.95e+06    6.98e+05\n",
      "category[T.Entertainment]          1.174e+05    8.4e+05      0.140      0.889   -1.53e+06    1.76e+06\n",
      "category[T.Film & Animation]       9.044e+05   9.08e+05      0.996      0.319   -8.76e+05    2.69e+06\n",
      "category[T.Gaming]                 5.222e+05   1.07e+06      0.489      0.625   -1.57e+06    2.61e+06\n",
      "category[T.Howto & Style]         -9.181e+05   8.73e+05     -1.051      0.293   -2.63e+06    7.94e+05\n",
      "category[T.Music]                  3.948e+06   8.69e+05      4.542      0.000    2.24e+06    5.65e+06\n",
      "category[T.News & Politics]       -1.045e+06   8.77e+05     -1.192      0.233   -2.76e+06    6.73e+05\n",
      "category[T.Nonprofits & Activism]  4.846e+05   2.01e+06      0.241      0.810   -3.46e+06    4.43e+06\n",
      "category[T.People & Blogs]        -4.573e+05   8.81e+05     -0.519      0.604   -2.18e+06    1.27e+06\n",
      "category[T.Pets & Animals]        -1.028e+06   1.01e+06     -1.016      0.309   -3.01e+06    9.54e+05\n",
      "category[T.Science & Technology]  -5.419e+05   8.95e+05     -0.605      0.545    -2.3e+06    1.21e+06\n",
      "category[T.Shows]                 -8.413e+05   3.53e+06     -0.238      0.812   -7.77e+06    6.08e+06\n",
      "category[T.Sports]                -1.164e+04   8.83e+05     -0.013      0.989   -1.74e+06    1.72e+06\n",
      "category[T.Travel & Events]       -5.727e+05   1.21e+06     -0.474      0.636   -2.94e+06     1.8e+06\n",
      "first_engagement                   1.052e+05   2.47e+04      4.255      0.000    5.67e+04    1.54e+05\n",
      "==============================================================================\n",
      "Omnibus:                    11899.144   Durbin-Watson:                   1.845\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):         24709328.844\n",
      "Skew:                          14.120   Prob(JB):                         0.00\n",
      "Kurtosis:                     307.386   Cond. No.                         273.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "outcome_3, predictors_3 = patsy.dmatrices(\"last_views ~category + first_engagement \",td)\n",
    "# YOUR CODE HERE\n",
    "mod_3 = sm.OLS(outcome_3, predictors_3)\n",
    "res_3 = mod_3.fit()\n",
    "\n",
    "# YOUR CODE HERE\n",
    "print(res_3.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first engagement is shown to have an effect on the last views that at video within a category recieves towards the end of its trending period. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Privacy/Ethical Considerations\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset was taken online through kaggle, an open public community for data scientists and machine learning purposes. Given this, we have the permission to use the whole dataset for exploring and studying and thus there should not be much if any privacy concerns regarding the dataset as there is no personal information regarding the youtuber written in the datasets.\n",
    "One thing to consider is that our data might not be entirely objective as Youtube has its own way of deciding whether the video is trending or not. We cannot  say with certainty that YouTube’s algorithm that determines Trending videos is not influenced by their views and policies. However, we are working with a dataset that contains only the Trending videos. We do acknowledge that the dataset may be biased in those regards.\n",
    "The other potential bias that we faced when researching and analysing the datasets was that some countries are excluded (such as China and North Korea) because YouTube cannot be used in those countries. We decided that one way to overcome this obstacle was to limit our project to just videos in the United States. This allowed us to explore what categorical factors were more influential and relevant within the US.\n",
    "Further on the issue of privacy, the dataset we use does not include private information on people who are involved with the videos. While we cannot say the same about the content of the actual videos, we did not find any data or metadata that violates people’s privacy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Conclusion and Discussion\n",
    "\n",
    "### Conclusion  \n",
    "\n",
    "In order to test our research question to see which different aspects of Youtube contribute and define a successful trending Youtube video, we began to test these different aspects against each other so to compare which contributed more or less. We did this by using a public dataframe and dropping some unnecessary columns so to focus our tests on the categories, likes, dislikes, views, and comment count. After running some of these tests, we came to also focusing a bit more on the first views of the videos vs the last views as well as the first user engagement and its input on both of these elements. \n",
    "\n",
    "In data visualization, we found out the most popular videos are always music videos, while the videos with most like-view ratio and most dislike-view ratio are both nonprofits/Activism videos. This could be an indicator as to each Youtube element’s relevance to genuinely contributing to the defining of a successful trending video. \n",
    "\n",
    "By looking at the view vs the comment count per each video, a scatterplot was utilized in order to see if this particular ratio is able to provide information as to whether comments may contribute to a video trending. From this graph it can be seen that most videos that have a lot of comments tend to have a fewer amount of views. Videos that have many more views still have a considerable amount of comments but not nearly as much as those with fewer views. Although the linear regression line shows that on average, there is a slight correlation between the amount of views that a video may get vs. the amount of comments it receives, it can't be said for certain that the amount of comments a video gets contributes to whether the video trends or not.\n",
    "\n",
    "We used the regression model to predict the relationship between the view count when the video is trending at the first time and category of that video. In doing so, we see that Music and Gaming videos tend to affect the outcome more than other categories of videos. Then we used another regression model to find out the relationship between view count when it is not trending anymore versus the category of that video. In doing so, we find the last views is not that related to the category of the video except music videos. \n",
    "\n",
    "Thus, if the video is in music or gaming category, the first view count is highly related to the category. In other words, the category will effects the first views strongly, which means the first impression of that video.\n",
    "\n",
    "However, the video itself (like_count, comment_count) is going to impact the last_views. In other words, if the video is a good-quality video, the last_views is going to be high. And the category is not going to impact last_views that much like the first_views. \n",
    "\n",
    "In exploring the various aspects of views, comments, likes, dislikes, categories, etc., it can be concluded that the most influential elements that define a successful trending Youtube video in the US would be the number of views a video receives as well as the category that the video itself is posted in. However, this does not mean that the amount of comments, likes, and dislikes does not contribute. Considering that these three elements are in fact the definition of the \"first engagement\" of a video, these factors while they don't necessarily define a successful video, help the video remain relevant and trending longer.  \n",
    "\n",
    "### Discussion\n",
    "Limitations of analysis discussed\n",
    "Looking at the visualization of trending duration and change in view counts, we found that there are some negative view counts on certain Youtube videos. As we listed all of the abnormal view counts in specific time frame, we observed two major problems in this dataset. When an original video is deleted, another video would upload with the same video id. Another problem is a bug from Youtube that causes sudden drop of view counts. According to Brahma It Solutions website, YouTube had a data reporting error that caused a lot of extra views to show up on videos and some video views disappearing from 200 to 50,000 views. If there are a lot of accounts from strange user agents, Youtube would assume that they are bots. Thus, we decided to delete those entries with deleted videos and negative view counts to normalize our data.\n",
    "https://brahmaitsolutions.com/my-youtube-video-views-suddenly-dropped/\n",
    "Future Work\n",
    "Some of the drawbacks of our analysis are that our dataset from kaggle is in particular time frame excluding the information of non-trending videos. It’s impossible to demonstrate the actual and complete trending phenomenon of Youtube videos. Therefore we think our dataset is biased. We need to use a larger dataset that contains the data from all videos in longer period of time. Moreover, we can predict the performance of specific videos even channels by using some machine learning methods. \n",
    "As well, our work may also be a stepping stone into considering more specific reasoning as to why music videos may continue to trend over time while gaming videos tend to lose its trending status. An idea could be the amount of times a gaming channel uploads which naturally causes another trending gaming video to lose its traction. Whereas, since many people that look for music videos tend to continue to search up those particular videos and songs, this could potentially be an answer as to why it continues to trend. However, with the setbacks of our data not containing this information as well as this spans further than the limitations of the project, this idea could potentially be looked upon in the future. "
   ]
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   "execution_count": null,
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