Time Series Forecast Medium Daily Posts Forecast.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "05de961a",
   "metadata": {},
   "source": [
    "# Time Series Forecast: Medium daily posts forecast"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5727141",
   "metadata": {},
   "source": [
    "# Topic\n",
    "\n",
    " A time series is simply a series of data points ordered in time. In a time series, time is often the independent variable and the goal is usually to make a forecast for the future.\n",
    "\n",
    "In this notebook I chose a dataset which contains timestamps and urls of Medium publications over the last several years, I will make the necessary transformation and apply two kinds of algorithms: ETS (error,trend and seasonality), and ARIMA algorithms (Autoregressive, Integrated, Moving Average), then I'm going to compare the results and pick the model that best fits the data."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08f2d53d",
   "metadata": {},
   "source": [
    "# Objectives\n",
    "\n",
    "- Decompose and analyse the time series\n",
    "- Make forecasts regarding daily Medium posts"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29a7eaaf",
   "metadata": {},
   "source": [
    "# Summary\n",
    "\n",
    "- Importing libraries\n",
    "- The dataset\n",
    "- ETS models:\n",
    "   - Simple Exponential Smoothing\n",
    "   - Holt's Linear model\n",
    "   - Holt Winter's Seasonal model\n",
    "- ARIMA models:\n",
    "   - Seasonal ARIMA\n",
    "- Comparing models' performance\n",
    "- Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb37d753",
   "metadata": {},
   "source": [
    "## Importing Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "01549137",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Data Analysis\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Data Visualization\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Statistics\n",
    "import statsmodels.api as sm\n",
    "# ETS models\n",
    "from statsmodels.tsa.api import SimpleExpSmoothing, Holt, ExponentialSmoothing\n",
    "# checking for stationarity\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "# transform the target variable to resemble a normal distribution\n",
    "from scipy.stats import boxcox\n",
    "# the inverse of boxcox transformation\n",
    "from scipy.special import inv_boxcox\n",
    "# ARIMA model\n",
    "from pmdarima import auto_arima\n",
    "# for forecasting\n",
    "from prophet import Prophet\n",
    "# Models validation\n",
    "from sklearn.metrics import mean_squared_error,mean_absolute_error\n",
    "# Calculate the Akaike Information Criterion\n",
    "from astropy.stats.info_theory import akaike_info_criterion_lsq\n",
    "# Autocorrelation function\n",
    "from statsmodels.graphics.tsaplots import plot_acf"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a06abb76",
   "metadata": {},
   "source": [
    "## The Dataset "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6da90b48",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>published</th>\n",
       "      <th>domain</th>\n",
       "      <th>url</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2012-08-13 22:54:53.510Z</td>\n",
       "      <td>medium.com</td>\n",
       "      <td>https://medium.com/policy/medium-terms-of-serv...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2012-08-13 22:57:17.248Z</td>\n",
       "      <td>medium.com</td>\n",
       "      <td>https://medium.com/policy/medium-privacy-polic...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2016-11-04 23:40:43.364Z</td>\n",
       "      <td>medium.com</td>\n",
       "      <td>https://medium.com/@Medium/personalize-your-me...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2016-12-24 18:21:13.427Z</td>\n",
       "      <td>medium.com</td>\n",
       "      <td>https://medium.com/holiday-poems/xmas-morning-...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-09-22 21:37:48.207Z</td>\n",
       "      <td>blog.medium.com</td>\n",
       "      <td>https://blog.medium.com/taking-a-side-on-net-n...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  published           domain  \\\n",
       "0  2012-08-13 22:54:53.510Z       medium.com   \n",
       "1  2012-08-13 22:57:17.248Z       medium.com   \n",
       "2  2016-11-04 23:40:43.364Z       medium.com   \n",
       "3  2016-12-24 18:21:13.427Z       medium.com   \n",
       "4  2015-09-22 21:37:48.207Z  blog.medium.com   \n",
       "\n",
       "                                                 url  \n",
       "0  https://medium.com/policy/medium-terms-of-serv...  \n",
       "1  https://medium.com/policy/medium-privacy-polic...  \n",
       "2  https://medium.com/@Medium/personalize-your-me...  \n",
       "3  https://medium.com/holiday-poems/xmas-morning-...  \n",
       "4  https://blog.medium.com/taking-a-side-on-net-n...  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(r'C:\\Users\\imane\\OneDrive\\Desktop\\TS-Medium publications\\medium_posts.csv', sep =\",\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c8652a1",
   "metadata": {},
   "source": [
    "Since I'm only interested in the the time and date the publication was made, and that url is the true indentifier of a publication, I will only use those 2 columns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8ed95b9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>published</th>\n",
       "      <th>url</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2012-08-13 22:54:53.510Z</td>\n",
       "      <td>https://medium.com/policy/medium-terms-of-serv...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2012-08-13 22:57:17.248Z</td>\n",
       "      <td>https://medium.com/policy/medium-privacy-polic...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2016-11-04 23:40:43.364Z</td>\n",
       "      <td>https://medium.com/@Medium/personalize-your-me...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2016-12-24 18:21:13.427Z</td>\n",
       "      <td>https://medium.com/holiday-poems/xmas-morning-...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-09-22 21:37:48.207Z</td>\n",
       "      <td>https://blog.medium.com/taking-a-side-on-net-n...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  published                                                url\n",
       "0  2012-08-13 22:54:53.510Z  https://medium.com/policy/medium-terms-of-serv...\n",
       "1  2012-08-13 22:57:17.248Z  https://medium.com/policy/medium-privacy-polic...\n",
       "2  2016-11-04 23:40:43.364Z  https://medium.com/@Medium/personalize-your-me...\n",
       "3  2016-12-24 18:21:13.427Z  https://medium.com/holiday-poems/xmas-morning-...\n",
       "4  2015-09-22 21:37:48.207Z  https://blog.medium.com/taking-a-side-on-net-n..."
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.drop(columns =[\"domain\"], axis = 1)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d9afd821",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(92191, 2)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3876464a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(df.isnull(), cbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fdbd735f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.duplicated().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "910bc5bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.drop_duplicates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7daf8a6b",
   "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>published</th>\n",
       "      <th>url</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2012-08-13 22:54:53.510000+00:00</td>\n",
       "      <td>https://medium.com/policy/medium-terms-of-serv...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2012-08-13 22:57:17.248000+00:00</td>\n",
       "      <td>https://medium.com/policy/medium-privacy-polic...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2016-11-04 23:40:43.364000+00:00</td>\n",
       "      <td>https://medium.com/@Medium/personalize-your-me...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2016-12-24 18:21:13.427000+00:00</td>\n",
       "      <td>https://medium.com/holiday-poems/xmas-morning-...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2015-09-22 21:37:48.207000+00:00</td>\n",
       "      <td>https://blog.medium.com/taking-a-side-on-net-n...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         published  \\\n",
       "0 2012-08-13 22:54:53.510000+00:00   \n",
       "1 2012-08-13 22:57:17.248000+00:00   \n",
       "2 2016-11-04 23:40:43.364000+00:00   \n",
       "3 2016-12-24 18:21:13.427000+00:00   \n",
       "4 2015-09-22 21:37:48.207000+00:00   \n",
       "\n",
       "                                                 url  \n",
       "0  https://medium.com/policy/medium-terms-of-serv...  \n",
       "1  https://medium.com/policy/medium-privacy-polic...  \n",
       "2  https://medium.com/@Medium/personalize-your-me...  \n",
       "3  https://medium.com/holiday-poems/xmas-morning-...  \n",
       "4  https://blog.medium.com/taking-a-side-on-net-n...  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['published'] = pd.to_datetime(df['published'])\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1b19245b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "published    datetime64[ns, UTC]\n",
       "url                       object\n",
       "dtype: object"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a420b174",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timestamp('1970-01-01 00:00:00.001000+0000', tz='UTC')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.published.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "eb4f9736",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timestamp('2017-06-27 14:48:42.850000+0000', tz='UTC')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.published.max()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "916c9da8",
   "metadata": {},
   "source": [
    "The data is collected starting January 1970 until June 2016. As Medium's public release date was August 15, 2012, let us remove data prior to this date."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a5f13566",
   "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>url</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>published</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-08-15 00:25:03.373000+00:00</th>\n",
       "      <td>https://medium.com/launch-day/jean-attempts-to...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15 00:25:29.419000+00:00</th>\n",
       "      <td>https://medium.com/launch-day/dan-and-kristin-...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15 00:34:59.502000+00:00</th>\n",
       "      <td>https://medium.com/i-m-h-o/the-world-is-social...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15 00:40:10.773000+00:00</th>\n",
       "      <td>https://medium.com/@karen/this-farm-table-1cfc...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15 00:58:25.898000+00:00</th>\n",
       "      <td>https://medium.com/@hattmodgins/lighting-strik...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                url\n",
       "published                                                                          \n",
       "2012-08-15 00:25:03.373000+00:00  https://medium.com/launch-day/jean-attempts-to...\n",
       "2012-08-15 00:25:29.419000+00:00  https://medium.com/launch-day/dan-and-kristin-...\n",
       "2012-08-15 00:34:59.502000+00:00  https://medium.com/i-m-h-o/the-world-is-social...\n",
       "2012-08-15 00:40:10.773000+00:00  https://medium.com/@karen/this-farm-table-1cfc...\n",
       "2012-08-15 00:58:25.898000+00:00  https://medium.com/@hattmodgins/lighting-strik..."
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df= df[df.published>'2012-08-15']\n",
    "df.sort_values('published', inplace=True)\n",
    "df.set_index('published', inplace=True)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "da6f7b0b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1778, 1)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "daily = df.resample('D').count()\n",
    "daily.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5d8276d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(59, 1)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "monthly = df.resample(\"M\").count()\n",
    "monthly.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "507d584c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 1)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yearly = df.resample(\"y\").count()\n",
    "yearly.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa107c04",
   "metadata": {},
   "source": [
    "We see that the data has been collected over 6 years or 56 months or 1778 days."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bb3d5f54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(daily)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cae3f496",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(monthly)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "59f92b63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(yearly)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e899f2e",
   "metadata": {},
   "source": [
    "The plots above show the TS by day, month and year, I notice that the daily plot shows more augmenting seasonality, and the three plots show an exponantial trend (also more clear in the daily plot). I'm gonna be using the daily DS for my analysis. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa50cc9b",
   "metadata": {},
   "source": [
    "I see in the daily plot that before 2015, the data is somewhat stationary, and after 2015 it starts to show its caractristics. So I will be using 2015 onwards."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5e3e1c9f",
   "metadata": {},
   "outputs": [],
   "source": [
    "daily = daily.loc['2015-01-01':]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "82850d86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(daily)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "99e9feea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(909, 1)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "daily.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7277552",
   "metadata": {},
   "source": [
    "The data left is for about 30 months, I thought that I would keep the last 4 mothns for testing and use the rest for training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "1618ab3c",
   "metadata": {},
   "outputs": [],
   "source": [
    "train = daily.loc[:'2017-02-28']\n",
    "test = daily.loc['2017-03-01':]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "838f439b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Posts Published')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(train, label='Train')\n",
    "plt.plot(test, label='test')\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "663680e8",
   "metadata": {},
   "source": [
    "We see the different portions of data the training and testing sets got."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "524c4299",
   "metadata": {},
   "source": [
    "## ETS Models"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a161c13",
   "metadata": {},
   "source": [
    "To be able to do Error Trend Seasonality analysis, I sould first plot the decomposition of the TS into its three components."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "749643a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "decomposition = sm.tsa.seasonal_decompose(daily)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "02895a98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'error'}, xlabel='published'>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(4, 1, figsize=(12, 10))\n",
    "daily.plot(title='Original', ax=axes[0])\n",
    "decomposition.trend.plot(title='Trend', ax=axes[1])\n",
    "decomposition.seasonal.plot(title='Seasonality', ax=axes[2])\n",
    "decomposition.resid.plot(title='error', ax=axes[3])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "861b33d5",
   "metadata": {},
   "source": [
    "The decomposition of the time series shows a linear uptrend, the seasonality doesn't change in magnitude, is weekly and looks constant over time and the error also seems constant. Therefore for the trend an additive method should be used, for the seasonality and error also an additive method is the way to go."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a76f8588",
   "metadata": {},
   "source": [
    "## Making Predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f173d0a",
   "metadata": {},
   "source": [
    "## Simple Exponentioanl Smoothing"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15e38d84",
   "metadata": {},
   "source": [
    "The simple exponential Smoothing method is normally used for Time Series with no trend and no seasonality. Since this dataset at hand has both, I going to assume that SES will not do great with it. That's why I'll use it as my baseline model. To make it work better, I'm going to set its alpha to a high number in order for the model to give higher weights to the latest observations since it looks form the plot that the sooner is the observation, the higher the number of posts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "05318f92",
   "metadata": {},
   "outputs": [],
   "source": [
    "ses = SimpleExpSmoothing(train).fit(smoothing_level=0.9,optimized=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "2971c11b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>SimpleExpSmoothing Model Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>            <td>url</td>        <th>  No. Observations:  </th>        <td>790</td>      \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>SimpleExpSmoothing</td> <th>  SSE                </th>    <td>499805.452</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Optimized:</th>               <td>False</td>       <th>  AIC                </th>     <td>5099.454</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Trend:</th>                   <td>None</td>        <th>  BIC                </th>     <td>5108.798</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal:</th>                <td>None</td>        <th>  AICC               </th>     <td>5099.505</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal Periods:</th>        <td>None</td>        <th>  Date:              </th> <td>Thu, 29 Dec 2022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox:</th>                 <td>False</td>       <th>  Time:              </th>     <td>21:04:04</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox Coeff.:</th>          <td>None</td>        <th>                     </th>         <td> </td>       \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "         <td></td>                 <th>coeff</th>                <th>code</th>               <th>optimized</th>     \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_level</th> <td>           0.9000000</td> <td>               alpha</td> <td>               False</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_level</th>   <td>           8.0000000</td> <td>                 l.0</td> <td>               False</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                       SimpleExpSmoothing Model Results                       \n",
       "==============================================================================\n",
       "Dep. Variable:                    url   No. Observations:                  790\n",
       "Model:             SimpleExpSmoothing   SSE                         499805.452\n",
       "Optimized:                      False   AIC                           5099.454\n",
       "Trend:                           None   BIC                           5108.798\n",
       "Seasonal:                        None   AICC                          5099.505\n",
       "Seasonal Periods:                None   Date:                 Thu, 29 Dec 2022\n",
       "Box-Cox:                        False   Time:                         21:04:04\n",
       "Box-Cox Coeff.:                  None                                         \n",
       "==============================================================================\n",
       "                       coeff                 code              optimized      \n",
       "------------------------------------------------------------------------------\n",
       "smoothing_level            0.9000000                alpha                False\n",
       "initial_level              8.0000000                  l.0                False\n",
       "------------------------------------------------------------------------------\n",
       "\"\"\""
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ses.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b33f009b",
   "metadata": {},
   "source": [
    "The table above is the summary of the Simple Exponential smoothing, it shows a lot of information about the model, most important of which is the AIC model which determines how the model fits to the data. Now this number 5099.45 cannot tell us anything by itself, it has to be compared with that of other models to help choose the best one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "92f2df89",
   "metadata": {},
   "outputs": [],
   "source": [
    "ses_pred = ses.forecast(len(test))\n",
    "ses_rmse = mean_squared_error(test, ses_pred, squared=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "3b7d3f9b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "79.77878740278639"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ses_mae = mean_absolute_error(test, ses_pred)\n",
    "ses_mae"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "15f3428e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# function to plot the forecast\n",
    "def plot_forecast(forecast, model, rmse):\n",
    "    plt.figure(figsize=(12,4))\n",
    "    plt.plot(train, label='Training')\n",
    "    plt.plot(test, label='Actual')\n",
    "    plt.plot(forecast, label='Forecast')\n",
    "    plt.xlabel('Datetime')\n",
    "    plt.ylabel('Posts Published')\n",
    "    plt.title(f'{model} (RMSE: {round(rmse, 2)})')\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "718dc2b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_forecast(ses_pred, \"Simple Exponential Smoothing\", ses_rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7552729b",
   "metadata": {},
   "source": [
    "Just like expected, the SES predicts a straight line that is not going with the trend of the data. The RMSE is also high 100.09."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "96be4a86",
   "metadata": {},
   "outputs": [],
   "source": [
    "l = list(ses_pred)\n",
    "t = test.url\n",
    "t = list(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4cf4d7a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "ses_res = [t[i] - l[i] for i in range(len(l))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "44782b24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 34,
     "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": [
    "plot_acf(ses_res, lags=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55516ac",
   "metadata": {},
   "source": [
    "The Autocorrelation Plot of the residuals of teh Simple Exponential Smoothing shows strong correlations at lags 1 and 2 suggesting that there is still a lot of information in the data that hasn't been accountes for by the SES model, which is very normal considering it is only the baseline model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55365246",
   "metadata": {},
   "source": [
    "## Holt's Linear Trend"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82e7d4b3",
   "metadata": {},
   "source": [
    "The next condidate would be probably Holt's Linear trend, but this model is used when there is trend but no seasonality in the data. I'm going to try it nevertheless to see how much better than SES it does. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "febbb833",
   "metadata": {},
   "outputs": [],
   "source": [
    "holt = Holt(train).fit(optimized=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "6798cc61",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Holt Model Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>       <td>url</td>   <th>  No. Observations:  </th>        <td>790</td>      \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>              <td>Holt</td>   <th>  SSE                </th>    <td>437734.442</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Optimized:</th>          <td>True</td>   <th>  AIC                </th>     <td>4998.694</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Trend:</th>            <td>Additive</td> <th>  BIC                </th>     <td>5017.383</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal:</th>           <td>None</td>   <th>  AICC               </th>     <td>4998.802</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal Periods:</th>   <td>None</td>   <th>  Date:              </th> <td>Thu, 29 Dec 2022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox:</th>            <td>False</td>  <th>  Time:              </th>     <td>21:04:06</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox Coeff.:</th>     <td>None</td>   <th>                     </th>         <td> </td>       \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "         <td></td>                 <th>coeff</th>                <th>code</th>               <th>optimized</th>     \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_level</th> <td>           0.0527722</td> <td>               alpha</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_trend</th> <td>           0.0241620</td> <td>                beta</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_level</th>   <td>           16.632254</td> <td>                 l.0</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_trend</th>   <td>           0.0976671</td> <td>                 b.0</td> <td>                True</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                              Holt Model Results                              \n",
       "==============================================================================\n",
       "Dep. Variable:                    url   No. Observations:                  790\n",
       "Model:                           Holt   SSE                         437734.442\n",
       "Optimized:                       True   AIC                           4998.694\n",
       "Trend:                       Additive   BIC                           5017.383\n",
       "Seasonal:                        None   AICC                          4998.802\n",
       "Seasonal Periods:                None   Date:                 Thu, 29 Dec 2022\n",
       "Box-Cox:                        False   Time:                         21:04:06\n",
       "Box-Cox Coeff.:                  None                                         \n",
       "==============================================================================\n",
       "                       coeff                 code              optimized      \n",
       "------------------------------------------------------------------------------\n",
       "smoothing_level            0.0527722                alpha                 True\n",
       "smoothing_trend            0.0241620                 beta                 True\n",
       "initial_level              16.632254                  l.0                 True\n",
       "initial_trend              0.0976671                  b.0                 True\n",
       "------------------------------------------------------------------------------\n",
       "\"\"\""
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "holt.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53497b51",
   "metadata": {},
   "source": [
    "The Akaike Information Criterion or AIC is lower i.e better for holt's linear model just as excpected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "7c969f3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "holt_pred = holt.forecast(len(test))\n",
    "holt_rmse =  mean_squared_error(test, holt_pred, squared=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b2a2c603",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "66.63186334443873"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "holt_mae = mean_absolute_error(test, holt_pred)\n",
    "holt_mae"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "67adcd99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_forecast(holt_pred, \"Holt's Linear Model\", holt_rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ab3161b",
   "metadata": {},
   "source": [
    "The forecast made by Holt's Linear model alignes better with the actual values and has a smaller RMSE. Let's remember that this model though accounts only on for the trend but not the seasonality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "bd45f846",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 40,
     "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": [
    "l = list(holt_pred)\n",
    "holt_res = [t[i] - l[i] for i in range(len(l))]\n",
    "plot_acf(holt_res, lags=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6012b7a4",
   "metadata": {},
   "source": [
    "The Holt's linear model residuals still show information unused in the time series, although it is slightly better than the SES method as can be seen in the second lag correlation which droped to .5 instead of .75 in SES."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfacaa3c",
   "metadata": {},
   "source": [
    "## Holt Winters seasonal method"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "101a3f4f",
   "metadata": {},
   "source": [
    "The next model I'm going to try is Holt Winters Seasonal Method. This method accounts for both the trend and seasonality in the times series, it also allows to adapt both the additive and multiplicative method for either the trend or seasonality. From the TS decomposition, it seems that the trend grows linearly in the train set but exponentially on the test set, therefore a multiplicative method will be aplied for it, and shows a seasonality that doesn't grow in magnitude and is fairly constant, so an additive method will be applied to the seasonlity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0842f0df",
   "metadata": {},
   "source": [
    "In my model, I will set the seasonal periods to 7 because the data is collected daily and has a weekly seasonality. I'm going to set trend and seasonal to additive. I will also set the use boxcox to true in order to transform the data into a normal distribution to be better handeled by the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "291fd002",
   "metadata": {},
   "outputs": [],
   "source": [
    "hwm = ExponentialSmoothing(train, seasonal_periods=7, trend='mul', seasonal='add',use_boxcox=True).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "a738d703",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>ExponentialSmoothing Model Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>             <td>url</td>         <th>  No. Observations:  </th>        <td>790</td>      \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>ExponentialSmoothing</td> <th>  SSE                </th>     <td>99658.490</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Optimized:</th>                <td>True</td>         <th>  AIC                </th>     <td>3843.603</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Trend:</th>               <td>Multiplicative</td>    <th>  BIC                </th>     <td>3894.995</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal:</th>               <td>Additive</td>       <th>  AICC               </th>     <td>3844.072</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal Periods:</th>           <td>7</td>          <th>  Date:              </th> <td>Thu, 29 Dec 2022</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox:</th>                  <td>True</td>         <th>  Time:              </th>     <td>21:04:07</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox Coeff.:</th>        <td>   0.28999</td>      <th>                     </th>         <td> </td>       \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "           <td></td>                  <th>coeff</th>                <th>code</th>               <th>optimized</th>     \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_level</th>    <td>           0.1795155</td> <td>               alpha</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_trend</th>    <td>            0.000000</td> <td>                beta</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_seasonal</th> <td>           0.0295082</td> <td>               gamma</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_level</th>      <td>           92.095858</td> <td>                 l.0</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_trend</th>      <td>           1.0001062</td> <td>                 b.0</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.0</th>  <td>          -87.806503</td> <td>                 s.0</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.1</th>  <td>          -88.130273</td> <td>                 s.1</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.2</th>  <td>          -89.678509</td> <td>                 s.2</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.3</th>  <td>          -89.504222</td> <td>                 s.3</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.4</th>  <td>          -87.558320</td> <td>                 s.4</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.5</th>  <td>          -87.534184</td> <td>                 s.5</td> <td>                True</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_seasons.6</th>  <td>          -87.475318</td> <td>                 s.6</td> <td>                True</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                       ExponentialSmoothing Model Results                       \n",
       "================================================================================\n",
       "Dep. Variable:                      url   No. Observations:                  790\n",
       "Model:             ExponentialSmoothing   SSE                          99658.490\n",
       "Optimized:                         True   AIC                           3843.603\n",
       "Trend:                   Multiplicative   BIC                           3894.995\n",
       "Seasonal:                      Additive   AICC                          3844.072\n",
       "Seasonal Periods:                     7   Date:                 Thu, 29 Dec 2022\n",
       "Box-Cox:                           True   Time:                         21:04:07\n",
       "Box-Cox Coeff.:                 0.28999                                         \n",
       "=================================================================================\n",
       "                          coeff                 code              optimized      \n",
       "---------------------------------------------------------------------------------\n",
       "smoothing_level               0.1795155                alpha                 True\n",
       "smoothing_trend                0.000000                 beta                 True\n",
       "smoothing_seasonal            0.0295082                gamma                 True\n",
       "initial_level                 92.095858                  l.0                 True\n",
       "initial_trend                 1.0001062                  b.0                 True\n",
       "initial_seasons.0            -87.806503                  s.0                 True\n",
       "initial_seasons.1            -88.130273                  s.1                 True\n",
       "initial_seasons.2            -89.678509                  s.2                 True\n",
       "initial_seasons.3            -89.504222                  s.3                 True\n",
       "initial_seasons.4            -87.558320                  s.4                 True\n",
       "initial_seasons.5            -87.534184                  s.5                 True\n",
       "initial_seasons.6            -87.475318                  s.6                 True\n",
       "---------------------------------------------------------------------------------\n",
       "\"\"\""
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hwm.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e90bedc3",
   "metadata": {},
   "source": [
    "And for holt Winter's exponential model which accounts for both the seasonality and trend in the data, the AIC is lower and better than previous models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "6ab80d42",
   "metadata": {},
   "outputs": [],
   "source": [
    "hwm_pred = hwm.forecast(len(test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "e5ae0999",
   "metadata": {},
   "outputs": [],
   "source": [
    "hwm_rmse =  mean_squared_error(test, hwm_pred, squared=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "c55c5767",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "49.5625793664867"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hwm_mae = mean_absolute_error(test, hwm_pred)\n",
    "hwm_mae"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "8375dfad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_forecast(hwm_pred, \"Holt Winters Seasonal Method\", hwm_rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d2cdf58",
   "metadata": {},
   "source": [
    "The forecast made by Holt Winters Seasonal Method are the best sofar, we see that the forecast aligns better with the actual values, and the RMSE is reduced further. This makes sense because this model is the one that takes into consideration the trend and seasonality of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "c49e3304",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 47,
     "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": [
    "l = list(hwm_pred)\n",
    "hwm_res = [t[i] - l[i] for i in range(len(l))]\n",
    "plot_acf(hwm_res, lags=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e406618",
   "metadata": {},
   "source": [
    "The residuals ACF plot however shows a strong correlation for both lags 1 and 2 meaning that a lot of information is still unexpoited by the model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0476770",
   "metadata": {},
   "source": [
    "## ARIMA Models : SARIMA"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b786d5ea",
   "metadata": {},
   "source": [
    "In order to use an ARIMA model, the time series should be stationary. Now we know from the decomposition plot that this series has both and uptrend and a seasonality but let's confirm that more with the  Augmented Dickey-Fuller or ADF test. Now the ADF test return a p value which has to be less than .05 for the data to be stationary and if it is above the threshold that means that tha data is not stationary."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16f1980e",
   "metadata": {},
   "source": [
    "### Checking for Stationarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "7f469654",
   "metadata": {},
   "outputs": [],
   "source": [
    "stat = adfuller(daily)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "4157c0cd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p-value: 1.000000\n"
     ]
    }
   ],
   "source": [
    "print('p-value: %f' % stat[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f46772bc",
   "metadata": {},
   "source": [
    "The p value determined by ADF test is 1, which means that the time series is highly non-stationary.\n",
    "The first thing I need to do here is to difference the time series. I will first apply a first differencing to try and remove the trend from the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "7f891a85",
   "metadata": {},
   "outputs": [],
   "source": [
    "differenced = daily.diff()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "01d4ef05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(differenced)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0620852",
   "metadata": {},
   "source": [
    "We see the effect of the first differencing, the data has lost its trend but still shows high seasonality. The next move is to apply seasonal differencing on the dataset, I'll do that by duducting the value of the same period the previous week from the current value, and set the number of intervals to 7 since the data displays a weekly seasonality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "fdee82bd",
   "metadata": {},
   "outputs": [],
   "source": [
    "differenced_2 = differenced.url - differenced.url.shift(7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "7d3c0079",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 4))\n",
    "plt.plot(differenced_2)\n",
    "plt.xlabel('Datetime')\n",
    "plt.ylabel('Posts Published')\n",
    "plt.title('Time Series')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "209b4fe9",
   "metadata": {},
   "source": [
    "So I've done 2 kinds of differencing, the first difference to get rid of the trend in the data and the second differencing to get rid of the seasonality which shows in the plot above. The next thing to do is to visualize the Autocorrelation function plot and Partial Autocorrelation function plot to determine the number of AR and MA terms to use with the ARIMA model, although I will be using SARIMA i.e seasonal ARIMA in order to account for the seasonality of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "2328e667",
   "metadata": {},
   "outputs": [],
   "source": [
    "differenced_2 = pd.DataFrame(differenced_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "9874dd9d",
   "metadata": {},
   "outputs": [],
   "source": [
    "url = list(differenced_2.url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "d964f054",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "55014e39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "b70faeab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "a9b55b26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "b3fa4c20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "834d11dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "06222f99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "8de571b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "url.pop(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b63d20f3",
   "metadata": {},
   "source": [
    "### ACF Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "95bd3d24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 64,
     "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": [
    "plot_acf(url, lags=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f13ddc",
   "metadata": {},
   "source": [
    "Before plotting the ACF plot, I had to get rid of the nan values in my differenced TS. The ACF is positively correlated at lag 1 suggesting 1 AR term to add to the non seasonal part of the Arima model, I also notice  a significant negative correlation on lag 7 suggesting 1 MA term in the seasonal part of the seasonal Arima model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42100fd4",
   "metadata": {},
   "source": [
    "### PCAF Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "043701f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 65,
     "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": [
    "sm.graphics.tsa.plot_pacf(url, lags=40,method='ywm')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03b8cb87",
   "metadata": {},
   "source": [
    "The Partial autocorrelation drops after the first lag confirming the addition of 1 AR term for the non seasonal part(which the ACF previously suggested). And the correlation at lag 7 of the PACF is negativealso confirming 1 MA term of the seasonal part of ARIMA."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7d001e0",
   "metadata": {},
   "source": [
    "### Making forecasts"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00a2bfd3",
   "metadata": {},
   "source": [
    "Now it's time to build a model, I'm going to use Seasonal ARIMA or SARIMA to account for both the seasonality and trend in the data, the terms will be ARIMA(1,1,0),(0,1,1)7 because:\n",
    "- non seasonal AR is 1 because there is positive correlation in the first lag of the ACF and PACF drops quickly after.\n",
    "- non seasonal differencing is at 1 because I applied the first differencing on the data\n",
    "- non seasonal MA is at 0 because there is no indicator that we need MA terms\n",
    "- seasonal AR is at 0 because there is no indication that we need AR terms\n",
    "- seasonal differencing is at 1 because I used seasonal difference as well \n",
    "- seasonal MA is at 1 because the first seasonal lag i.e lag number 7 is negative.\n",
    "- 7 is the number of days in the seasonal cycle of the the time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "c79738a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "sarima = sm.tsa.statespace.SARIMAX(train, order=(1,1,0), seasonal_order=(0,1,1,7))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "5e14d939",
   "metadata": {},
   "outputs": [],
   "source": [
    "results = sarima.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "5e009fe8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                      SARIMAX Results                                      \n",
      "===========================================================================================\n",
      "Dep. Variable:                                 url   No. Observations:                  790\n",
      "Model:             SARIMAX(1, 1, 0)x(0, 1, [1], 7)   Log Likelihood               -3112.729\n",
      "Date:                             Thu, 29 Dec 2022   AIC                           6231.457\n",
      "Time:                                     21:04:10   BIC                           6245.443\n",
      "Sample:                                 01-01-2015   HQIC                          6236.835\n",
      "                                      - 02-28-2017                                         \n",
      "Covariance Type:                               opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1         -0.4117      0.029    -14.239      0.000      -0.468      -0.355\n",
      "ma.S.L7       -0.8452      0.018    -47.102      0.000      -0.880      -0.810\n",
      "sigma2       165.9377      6.441     25.761      0.000     153.313     178.563\n",
      "===================================================================================\n",
      "Ljung-Box (L1) (Q):                  11.73   Jarque-Bera (JB):                78.65\n",
      "Prob(Q):                              0.00   Prob(JB):                         0.00\n",
      "Heteroskedasticity (H):               5.55   Skew:                             0.01\n",
      "Prob(H) (two-sided):                  0.00   Kurtosis:                         4.55\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
     ]
    }
   ],
   "source": [
    "print(results.summary() )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed305104",
   "metadata": {},
   "source": [
    "The AIC is surprisingly higher for SARIMA, which means that the model doesn't fit the data as well as ETS models previously.\n",
    "Moving on, I will make predictions and take a look at other evlation matrics as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "48fe5d35",
   "metadata": {},
   "outputs": [],
   "source": [
    "sarima = sm.tsa.statespace.SARIMAX(test, order=(1,1,0), seasonal_order=(0,1,1,7))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "02ce93ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "sarima_pred = sarima.fit().predict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "95da8760",
   "metadata": {},
   "outputs": [],
   "source": [
    "sarima_rmse =  mean_squared_error(test, sarima_pred, squared=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "b81d2b9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29.495349597654506"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sarima_mae = mean_absolute_error(test, sarima_pred)\n",
    "sarima_mae"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "fa2b9dc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_forecast(sarima_pred, \"Seasonal ARIMA model\", sarima_rmse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fc4aea5",
   "metadata": {},
   "source": [
    "The Plot above shows the predictions of the SARIMA model, and I can safely say that they're the ones that go best with the actual data. I see that the model acounted for the trend and seasonality and that it is almost indentical to the observed values, add to that the RMSE which is at its lowest level sofar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "25415768",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 74,
     "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": [
    "l = list(sarima_pred)\n",
    "sarima_res = [t[i] - l[i] for i in range(len(l))]\n",
    "plot_acf(sarima_res, lags=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5bb54474",
   "metadata": {},
   "source": [
    "Perfect, just how I expected all the autorrelation apprears in the first lag, which means all the information in the data has been captured by the model."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61866382",
   "metadata": {},
   "source": [
    "## Models comparision"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "680feb5c",
   "metadata": {},
   "outputs": [],
   "source": [
    "rmse = [ses_rmse, holt_rmse, hwm_rmse, sarima_rmse]\n",
    "mae = [ses_mae, holt_mae, hwm_mae, sarima_mae]\n",
    "models = [\"SES\", \"HLM\", \"HWM\", \"SARIMA\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "b4cfe977",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x18dd5e28310>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_axis = np.arange(len(models))\n",
    "plt.figure(figsize=(8, 8))  \n",
    "plt.bar(X_axis - 0.2, rmse , 0.4, label = 'RMSE')\n",
    "plt.bar(X_axis + 0.2, mae, 0.4, label = 'MAE')\n",
    "  \n",
    "plt.xticks(X_axis, models)\n",
    "plt.xlabel(\"Models\")\n",
    "plt.title(\"Performance of Models\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b69f76a8",
   "metadata": {},
   "source": [
    "So apart from the Akaike Information Criterion, which is higher for SARIMA then other ETS models, all other indicators lead toward SARIMA being the best suited model for this time series. First of all the root mean squared error is the lowest of Arima, second the mean absolute error, and finally the plots that show SARIMA forecasts aligning perfectly well with the actual recorded value. Thefore, I suggest SARIMA to be the best model for this time series."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f67b13e",
   "metadata": {},
   "source": [
    "# Conclusion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e44bccb2",
   "metadata": {},
   "source": [
    "In this notebook I started with a simple dataset containing timestamps and urls of Medium publications, converted the ds into a times series and put as a goal forecasting the number of publications per day. At the begining, I started with baseline model called Simple Exponentional Smoothing which assume that the data has no trend and no seasonality, the results were very naive and unsatisfactory. I then moved to another ETS model which is more complex in that it accounts for the trend of the data if it is applied additively, the results weren't as bad as ESE but were still unsatisfying. At the third attempt, I used the Holt Winter's seasonal Model which accounts for both the seasonality and trend and allows us to add these terms either additively or multiplicatively, this model performed the best compared with the other ETS models.\n",
    "In my last attempt I used the Seasonal ARIMA model, which is more complex and has Autoregressive, Integrated and Moving average terms which I determined with the help of the Autocorrelation function plot and Partial Autocorrelation function plot. Whereas for ETS models terms, I determined with the help of the decomposition plot.\n",
    "\n",
    "Finally after fiiting the models and making forecasts and ploting those forecasts for visual analysis, I have determined that Seasonal ARIMA model is the best one for this time series."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36e239dc",
   "metadata": {},
   "source": [
    "# References\n",
    "\n",
    "https://www.kaggle.com/code/pradneshlachake/time-series-analysis-ets-arima-sarima-prophet/notebook\n",
    "\n",
    "https://neptune.ai/blog/arima-sarima-real-world-time-series-forecasting-guide\n",
    "\n",
    "https://www.statsmodels.org/dev/examples/notebooks/generated/ets.html"
   ]
  }
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