xG Analysis_2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d0e4805a-14cf-4b52-a114-004f135f9588",
   "metadata": {},
   "source": [
    "# Definitions of xG Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "308332d0-4b17-43f6-b382-79c7654b805b",
   "metadata": {},
   "source": [
    "## xgoals (xG) Definition"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20ad8e81-643e-43fa-adef-2dbf1d203ef6",
   "metadata": {},
   "source": [
    "The expected goals (xG) are the number of goals that can be expected to be scored based on where and how a shot was taken. In this code the xG data for the 22/23 season were obtained from <a href=\"https://understat.com/league/EPL/2021\">understat</a>."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d66063d-e3bf-4ee5-ae7b-b654745d5749",
   "metadata": {},
   "source": [
    "## xGs Difference (ΔxG) Definition "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57d136d8-675b-4ebc-a67a-bf89389072e7",
   "metadata": {},
   "source": [
    "The xgoals difference (ΔxG) corresponds to the difference between the xG of a team minus the xG of the opponent on a particular match, i.e.  $\\Delta xG=xG-xG_{allowed}$. This is a qualitative metric that in reality represents how much better was the team in question in this particular match."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e671a6e-d262-44b7-87c0-ba12ecbd89d2",
   "metadata": {},
   "source": [
    "## Mean xGs Difference (ΔxG<sub>m</sub>) Definition "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2b43bad-afa1-4478-b961-bde7ae522681",
   "metadata": {},
   "source": [
    "The mean xgoals difference $\\Delta xG_m$ corresponds to the mean value of the ΔxG metric. This metric corresponds to a specific number that shows how much better was the team in question from its opponent throughout the 22/23 season."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01549ec0-24e1-4dfa-9b63-a21f17cb2476",
   "metadata": {},
   "source": [
    "# Libraries & Options"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9e5908b-541c-43e0-a712-61d634e11b7d",
   "metadata": {},
   "source": [
    "## Libraries "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8a2b9687-1078-4a07-ac38-fd3319dee877",
   "metadata": {},
   "outputs": [],
   "source": [
    "# import the basic libraries\n",
    "import os\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statistics as stat\n",
    "# option to avoid a warning\n",
    "pd.options.mode.chained_assignment = None"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a23ad249-95f9-4496-b883-5acc589363db",
   "metadata": {},
   "source": [
    "## Options "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2f83f4a5-9381-4aad-b4ed-08d9d4f257ec",
   "metadata": {},
   "outputs": [],
   "source": [
    "# total number of matches\n",
    "n=38\n",
    "# The width of each bar in the Bar Plots that follow\n",
    "width = 0.25\n",
    "# x Axis Labels for all Bar Plot that follow\n",
    "x_ticks = [str(x) for x in range(1,39)]\n",
    "x_axis = np.arange(len(x_ticks))\n",
    "\n",
    "# y Axis Labels for the Bar Plot of Manchester United\n",
    "y_ticks_mu = [str(x) for x in range(6)]\n",
    "y_axis_mu = np.arange(len(y_ticks_mu)) \n",
    "# y Axis Labels for the Bar Plot of Manchester City\n",
    "y_ticks_mc = [str(x) for x in range(6)]\n",
    "y_axis_mc = np.arange(len(y_ticks_mc))  \n",
    "# y Axis Labels for the Bar Plot of Liverpool\n",
    "y_ticks_liv = [str(x) for x in range(9)]\n",
    "y_axis_liv = np.arange(len(y_ticks_liv))  "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "666aa6cf-0349-449b-a058-72a207c35e55",
   "metadata": {},
   "source": [
    "# Main Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ba3c269d-2975-4b12-b7a7-8f8d3fb60ebc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# class to read the excel where the data are stored and calculates the basic quantities\n",
    "class DataRead:\n",
    "    def __init__(self, excel_path, sheet_name):\n",
    "        self.excel_path = excel_path\n",
    "        self.sheet_name = sheet_name\n",
    "\n",
    "    def xGfunction(self):\n",
    "        try:\n",
    "            # read the excel data file\n",
    "            df = pd.read_excel(self.excel_path, sheet_name=self.sheet_name)\n",
    "            # creation of lists of the basic quantites\n",
    "            matchweek = df.iloc[:, 0].tolist()\n",
    "            goals_scored = df.iloc[:, 1].tolist()\n",
    "            xG = df.iloc[:, 2].tolist()\n",
    "            goals_concede = df.iloc[:, 3].tolist()\n",
    "            xG_allowed = df.iloc[:, 4].tolist()\n",
    "            vs = df.iloc[:, 5].tolist()\n",
    "            # calculation of the xG difference ΔxG\n",
    "            dxg = [a - b for a, b in zip(xG, xG_allowed)]\n",
    "            # calculation of matches in which ΔxG>0\n",
    "            dxg_pos = len([index for index in dxg if index >= 0])\n",
    "            # calculation of matches in which ΔxG<0\n",
    "            dxg_neg = len([index for index in dxg if index < 0])\n",
    "            # calculation of percentage where ΔxG>0\n",
    "            chances = \"{:.2f}\".format(100*dxg_pos/n)\n",
    "            # sum of goals that the team scored\n",
    "            sum_of_goals = df.iloc[:, 1].sum()\n",
    "            # sum of the xG of the team\n",
    "            sum_of_xG_frm = df.iloc[:, 2].sum()\n",
    "            sum_of_xG = \"{:.2f}\".format(sum_of_xG_frm)\n",
    "            \n",
    "            return goals_scored, xG, dxg, sum_of_goals, sum_of_xG, chances\n",
    "        \n",
    "        except Exception as e:\n",
    "            return f\"An error occurred: {str(e)}\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "efa2ae56-2d42-4e2d-9924-b6e7c318d6ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "# class to read the excel where the data of the top 4 teams are stored and calculates the basic quantities\n",
    "class DataReadtop4:\n",
    "    def __init__(self, excel_path_top4, sheet_name_top4, columnxG_top4, columnxG_all_top4, teams_top4):\n",
    "        self.excel_path_top4 = excel_path_top4\n",
    "        self.sheet_name_top4 = sheet_name_top4\n",
    "        self.columnxG_top4 = columnxG_top4\n",
    "        self.columnxG_all_top4 = columnxG_all_top4\n",
    "        self.teams_top4 = teams_top4\n",
    "\n",
    "    def xGfuntion_top4(self):\n",
    "        try:\n",
    "            # read the excel data file \n",
    "            df = pd.read_excel(self.excel_path_top4, sheet_name=self.sheet_name_top4)\n",
    "            # create the subfiles for the top 4 teams\n",
    "            top4_df = df[df['vs'].str.contains(self.teams_top4)]\n",
    "            # calculation of the xG difference ΔxG for the top 4 teams\n",
    "            xG_top4 = top4_df[self.columnxG_top4]\n",
    "            xG_allowed_top4 = top4_df[self.columnxG_all_top4]\n",
    "            dxg_top4 = [a - b for a, b in zip(xG_top4, xG_allowed_top4)]\n",
    "            # calculation of matches in which ΔxG>0 vs the top 4 teams\n",
    "            dxg_pos_top4 = len([index for index in dxg_top4 if index > 0])\n",
    "            # calculation of percentage where ΔxG>0 vs the top 4 teams\n",
    "            chances_top4 = \"{:.1f}\".format(100*dxg_pos_top4/n_top4)\n",
    "            \n",
    "            return chances_top4, dxg_pos_top4\n",
    "        \n",
    "        except Exception as e:\n",
    "            return f\"An error occurred: {str(e)}\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "607be4c9-b118-4831-b649-28c929548a00",
   "metadata": {},
   "outputs": [],
   "source": [
    "# specify the directory of the data. This should be changed to your path.\n",
    "directory = os.getcwd()\n",
    "excel_path = os.path.join(directory, \"2022_2023_Data/Data.xlsx\")\n",
    "excel_path_top4 = excel_path\n",
    "columnxG_top4 = 'xgoals'\n",
    "columnxG_all_top4 = 'xgoals_allowed'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20885656-2e21-4e2a-bcfe-a1896cc5065a",
   "metadata": {},
   "source": [
    "## Manchester United - xG Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ba22305c-524b-4231-8e4c-d7799e6c76d8",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_top4 = 6\n",
    "# specify the sheet name. Notice that each sheet corresponds to a different team\n",
    "sheet_name = 'Manchester_United_Data'\n",
    "sheet_name_top4 = sheet_name\n",
    "teams_top4 = 'Manchester_City|Arsenal|Newcastle'\n",
    "\n",
    "data_imp = DataRead(excel_path, sheet_name)\n",
    "result = data_imp.xGfunction()\n",
    "goals_scored_list, xG_list, dxg_mu, sum_of_goals, sum_of_xG, chances = result\n",
    "\n",
    "data_imp_top4 = DataReadtop4(excel_path_top4, sheet_name_top4, columnxG_top4, columnxG_all_top4, teams_top4)\n",
    "result_top4 = data_imp_top4.xGfuntion_top4()\n",
    "chances_top4, dxg_pos_top4= result_top4\n",
    "chances_mu = [chances_top4,100-100*dxg_pos_top4/n_top4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4bf941fd-fac7-444f-b669-98a18d0eba12",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Manchester United in the 22/23 season according to the xG analysis should had scored 71.91 and scored 58 goals.\n",
      "Manchester United in the 22/23 season according to the xG analysis created better chances in 63.16 % of the total matches.\n",
      "Manchester United in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in 50.0 %  of the total matches given.\n"
     ]
    }
   ],
   "source": [
    "print(\"Manchester United in the 22/23 season according to the xG analysis should had scored\", sum_of_xG,\"and scored\", sum_of_goals,\"goals.\")\n",
    "print(\"Manchester United in the 22/23 season according to the xG analysis created better chances in\",chances,\"% of the total matches.\")\n",
    "print(\"Manchester United in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in\",chances_top4,\"%  of the total matches given.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d9a7663b-adaa-4da3-b891-25f10b0c5b67",
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 2000x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bar Plot for Manchester United\n",
    "x = np.arange(n) \n",
    "\n",
    "# Size of the figure\n",
    "plt.rcParams[\"figure.figsize\"] = (20, 15)\n",
    "    \n",
    "plt.bar(x, goals_scored_list, color = 'r',\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='Goals Scored')\n",
    "\n",
    "plt.bar(x + width, xG_list, color = (0.64, 0, 0),\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='xG')\n",
    "  \n",
    "plt.xticks(x_axis, x_ticks, fontsize = 15)   \n",
    "plt.yticks(y_axis_mu, y_ticks_mu, fontsize = 15)   \n",
    "plt.xlabel(\"Matchweek\", fontdict = {'family':'Times New Roman','size':22})\n",
    "plt.ylabel(\"Manchester United\", fontdict = {'family':'Times New Roman','size':22})\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9e555bd-5c64-433c-b846-e11adb3efdb4",
   "metadata": {},
   "source": [
    "## Manchester City - xG Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6aac929f-5933-4e2e-90d4-bd5b8475e4a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# specify the sheet name. Notice that each sheet corresponds to a different team\n",
    "sheet_name = 'Manchester_City_Data'\n",
    "sheet_name_top4 = sheet_name\n",
    "teams_top4 = 'Manchester_United|Arsenal|Newcastle'\n",
    "\n",
    "\n",
    "data_imp = DataRead(excel_path, sheet_name)\n",
    "result = data_imp.xGfunction()\n",
    "goals_scored_list, xG_list, dxg_mc, sum_of_goals, sum_of_xG, chances = result\n",
    "\n",
    "data_imp_top4 = DataReadtop4(excel_path_top4, sheet_name_top4, columnxG_top4, columnxG_all_top4, teams_top4)\n",
    "result_top4 = data_imp_top4.xGfuntion_top4()\n",
    "chances_top4, dxg_pos_top4= result_top4\n",
    "chances_mc = [chances_top4,100-100*dxg_pos_top4/n_top4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d898a798-2649-44d4-b51f-00402815d034",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Manchester City in the 22/23 season according to the xG analysis should had scored 84.31 and scored 94 goals.\n",
      "Manchester City in the 22/23 season according to the xG analysis created better chances in 78.95 % of the total matches.\n",
      "Manchester City in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in 83.3 %  of the total matches given.\n"
     ]
    }
   ],
   "source": [
    "print(\"Manchester City in the 22/23 season according to the xG analysis should had scored\", sum_of_xG,\"and scored\", sum_of_goals,\"goals.\")\n",
    "print(\"Manchester City in the 22/23 season according to the xG analysis created better chances in\",chances,\"% of the total matches.\")\n",
    "print(\"Manchester City in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in\",chances_top4,\"%  of the total matches given.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4d60785f-ab4e-4b68-a17d-4abbb0b391c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(x, goals_scored_list, color = 'b',\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='Goals Scored')\n",
    "\n",
    "plt.bar(x + width, xG_list, color = (0.04, 1., 0.86),\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='xG')\n",
    "  \n",
    "plt.xticks(x_axis, x_ticks, fontsize = 15)   \n",
    "plt.yticks(y_axis_mc, y_ticks_mc, fontsize = 15)   \n",
    "plt.xlabel(\"Matchweek\", fontdict = {'family':'Times New Roman','size':22})\n",
    "plt.ylabel(\"Manchester City\", fontdict = {'family':'Times New Roman','size':22})\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fca9714-0603-48c0-92fb-3e19355e93e1",
   "metadata": {},
   "source": [
    "## Liverpool - xG Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ca5f16a0-d816-401e-b91c-e5344f059329",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_top4 = 8\n",
    "# specify the sheet name. Notice that each sheet corresponds to a different team\n",
    "sheet_name = 'Liverpool_Data'\n",
    "sheet_name_top4 = sheet_name\n",
    "teams_top4 = 'Manchester_City|Arsenal|Manchester_United|Newcastle'\n",
    "\n",
    "\n",
    "data_imp = DataRead(excel_path, sheet_name)\n",
    "result = data_imp.xGfunction()\n",
    "goals_scored_list, xG_list, dxg_liv, sum_of_goals, sum_of_xG, chances = result\n",
    "\n",
    "data_imp_top4 = DataReadtop4(excel_path_top4, sheet_name_top4, columnxG_top4, columnxG_all_top4, teams_top4)\n",
    "result_top4 = data_imp_top4.xGfuntion_top4()\n",
    "chances_top4, dxg_pos_top4 = result_top4\n",
    "chances_liv = [chances_top4,100-100*dxg_pos_top4/n_top4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "05a5e881-446c-4af2-a2c8-acaa1874d70d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Liverpool in the 22/23 season according to the xG analysis should had scored 80.75 and scored 75 goals.\n",
      "Liverpool in the 22/23 season according to the xG analysis created better chances in 68.42 % of the total matches.\n",
      "Liverpool in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in 62.5 %  of the total matches given.\n"
     ]
    }
   ],
   "source": [
    "print(\"Liverpool in the 22/23 season according to the xG analysis should had scored\", sum_of_xG,\"and scored\", sum_of_goals,\"goals.\")\n",
    "print(\"Liverpool in the 22/23 season according to the xG analysis created better chances in\",chances,\"% of the total matches.\")\n",
    "print(\"Liverpool in the 22/23 season according to the xG analysis had ΔxG>0 against top 4 league teams in\",chances_top4,\"%  of the total matches given.\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "be4988c3-d8be-411a-9502-122f4acae492",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(x, goals_scored_list, color = (0, 0.78, 0.41),\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='Goals Scored')\n",
    "\n",
    "plt.bar(x + width, xG_list, color = (0, 0.49, 0),\n",
    "        width = width, edgecolor = 'black',\n",
    "        label='xG')\n",
    "  \n",
    "plt.xticks(x_axis, x_ticks, fontsize = 15)   \n",
    "plt.yticks(y_axis_liv, y_ticks_liv, fontsize = 15)   \n",
    "plt.xlabel(\"Matchweek\", fontdict = {'family':'Times New Roman','size':22})\n",
    "plt.ylabel(\"Manchester City\", fontdict = {'family':'Times New Roman','size':22})\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2ce4671-a5d1-4c38-ac41-b96927d7a7fc",
   "metadata": {},
   "source": [
    "# Combined Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbdbe203-6b0d-4c51-bc19-b3d9862a2de0",
   "metadata": {},
   "source": [
    "## Pie Chart Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "90446f5b-d91b-4073-96bb-e144e365945f",
   "metadata": {},
   "outputs": [],
   "source": [
    "labelsmu = 'Manchester United ΔxG>0 from its opponent (against top 4 clubs)', 'Manchester United ΔxG<0 from its opponent (against top 4 clubs)'\n",
    "colorsmu = [(1., 0.6, 0.57), (1., 0.25, 0.18)] \n",
    "labelsmc = 'Manchester City ΔxG>0 from its opponent (against top 4 clubs)', 'Manchester City ΔxG<0 from its opponent (against top 4 clubs)'\n",
    "colorsmc = [(0.04, 1., 0.86), 'b'] \n",
    "labelsliv = 'Liverpool ΔxG>0 from its opponent (against top 4 clubs)', 'Liverpool ΔxG<0 from its opponent (against top 4 clubs)'\n",
    "colorsliv = [(0.5, 0.93, 0.24), (0.24, 0.8, 0.56)]\n",
    "plt.rcParams[\"figure.figsize\"] = (10, 5) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0f9d67d7-7a4c-43b1-84b9-cc94ddc0159e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1, ax1 = plt.subplots()\n",
    "ax1.pie(chances_mu, labels=labelsmu, colors=colorsmu, autopct='%1.1f%%',\n",
    "        shadow=False, startangle=90)\n",
    "ax1.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "\n",
    "fig2, ax2 = plt.subplots()\n",
    "ax2.pie(chances_mc, labels=labelsmc, colors=colorsmc, autopct='%1.1f%%',\n",
    "        shadow=False, startangle=90)\n",
    "ax2.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "\n",
    "fig3, ax3 = plt.subplots()\n",
    "ax3.pie(chances_liv, labels=labelsliv, colors=colorsliv, autopct='%1.1f%%',\n",
    "        shadow=False, startangle=90)\n",
    "ax3.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f89f84ea-798e-4650-95a5-61c4d01941b6",
   "metadata": {},
   "source": [
    "## ΔxG Plot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6712b7d1-8fd2-47dd-9870-d1e3fa510021",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11e06b1f0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y1_mu = dxg_mu\n",
    "y2_mc = dxg_mc\n",
    "y3_liv = dxg_liv\n",
    "\n",
    "plt.xticks(x_axis, x_ticks, fontsize = 10)   \n",
    "plt.xlabel(\"Matchweek\", fontdict = {'family':'Times New Roman','size':22})\n",
    "plt.ylabel(\"ΔxG\", fontdict = {'family':'Times New Roman','size':22})\n",
    "\n",
    "plt.plot(x, y1_mu, color='r', label='Manchester United')\n",
    "plt.plot(x, y2_mc, color='b', label='Manchester City')\n",
    "plt.plot(x, y3_liv, color=(0, 0.78, 0.41), label='Liverpool')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0302e84b-53b9-4dc1-aa8d-2a5132eb97b2",
   "metadata": {},
   "source": [
    "## ΔxG<sub>m</sub> Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "71471c55-43b0-4a6f-b128-f6e6cc8f18b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOF1P6urqcvvtt5ce431zyCGH5Oyzzy49BgAA8CHVpvQAG7OhQ4fmtddeW22EvvTSS+ncufOGHwoAAGAjJE7Xk2222Wa9nn/58uWpq6tLq1ZufgMAABs/ZbOevP1tvf3798/555/fbPsrr7ySTTbZJPfff3+SZPHixRk1alS23XbbbLbZZunbt2+mTJlS23/8+PHZfPPNc8cdd2TXXXdNfX19nn/++QwdOjSDBg3KRRddlK5du6ahoSFnnHFGlixZUjt28eLF+dKXvpStttoq7dq1y4EHHphp06Y1m+e+++7L/vvvn/r6+nTr1i0XXHBBli1btn5eHAAAgL8jTjeAIUOGZOLEiamqqrbu1ltvTffu3XPQQQclSUaMGJGpU6dm4sSJefzxx3P88cfnqKOOytNPP1075s0338zll1+e66+/Pk8++WS22mqrJMnkyZMza9asTJkyJbfccksmTZqUiy66qHbceeedlx/+8Ie56aab8uijj+ZjH/tYBgwYkL/85S9JkhdffDGf/vSns99++2XmzJm59tprc8MNN+Sb3/zmWj/HxYsXZ8GCBc0WAACAtSVON4ATTjghf/rTn/LAAw/U1k2YMCGDBw9OXV1dnn/++YwbNy633XZbDjrooOy4444ZNWpUDjzwwIwbN652zNKlS3PNNdekf//+2XnnnbPpppsmSdq2bZsbb7wxu+22WwYOHJiLL744//Zv/5YVK1bkjTfeyLXXXpsrr7wyRx99dHbddddcd911ad++fW644YYkyTXXXJMePXrkP/7jP/Lxj3+8dif2O9/5TlasWLFWz/HSSy9Np06dakuPHj3ex1cQAAD4sBOnG0DXrl3zqU99KjfffHOSZPbs2Zk6dWqGDBmSJHniiSeyfPnyNDY2pkOHDrXlvvvuy7PPPls7T9u2bdO7d+9Vzr/nnnvWQjVJ+vXrl4ULF+aFF17Is88+m6VLl+aAAw6obd9kk02y//77Z9asWUmSWbNmpV+/fqmrq6vtc8ABB2ThwoX54x//uFbP8cILL0xTU1NteeGFF1rwCgEAAB91PhBpAxkyZEi+9KUv5d///d8zYcKE7LHHHtljjz2SJAsXLkzr1q0zffr0tG7dutlxHTp0qH3dvn37ZgH5QVJfX5/6+vrSYwAAABspd043kGOPPTZvvfVW7rnnnkyYMKF21zRJ9t577yxfvjzz5s3Lxz72sWbL2nzq78yZM7No0aLar3/zm9+kQ4cO6dGjR3bccce0bds2Dz74YG370qVLM23atOy6665Jkl122SVTp05t9j2xDz74YDp27Jjtttvu/Xj6AAAA78id0/eoqakpM2bMaLauS5cuq+y32WabZdCgQfn617+eWbNmZfDgwbVtjY2NGTJkSE455ZR85zvfyd57751XXnklkydPTu/evTNw4MB3nGHJkiU5/fTT87WvfS1z5szJmDFjMmLEiLRq1SqbbbZZvvjFL+YrX/lKtthii/Ts2TNXXHFF3nzzzZx++ulJkjPPPDNXXXVV/vf//t8ZMWJEnnrqqYwZMyYjR470o2oAAIANQpy+R1OmTMnee+/dbN3K6Pt7Q4YMyac//el88pOfTM+ePZttGzduXL75zW/m3HPPzYsvvpgtt9wyn/jEJ/KZz3zmXWc4/PDDs9NOO+WTn/xkFi9enMGDB2fs2LG17ZdddllWrFiRk08+Oa+//nr23Xff/PSnP03nzp2TJNtuu23uuuuufOUrX8mee+6ZLbbYoha7AAAAG0Jd9fb3crLRGTp0aF577bXaz1T9oFiwYEE6deqU/Pz0ZLO2pccBoAWqT1xTegQAPkRWtkFTU1MaGhrWuJ/3bAIAAFCcOAUAAKA433O6kRs/fnzpEQAAAN4zd04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABTXpvQAfLg17ffPaWhoKD0GAADwAefOKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLalB6AD7lOnUpPALDhVFXpCQBgo+XOKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKG6jj9NDDjkkZ599dukxPhDGjx+fzTfffL2ce+zYsdlrr73Wy7kBAABaFKdDhw5NXV1dzjjjjFW2nXXWWamrq8vQoUPfr9k+ENZn8CXJlClTUldXl9dee22Vbb169cpVV1211uc68cQT84c//KH2a0EJAABsLFp857RHjx6ZOHFiFi1aVFv31ltvZcKECenZs+f7OtyHyfLly7NixYr1+hjt27fPVltttV4fAwAAYH1ocZz26dMnPXr0yKRJk2rrJk2alJ49e2bvvfdutu8999yTAw88MJtvvnm6dOmSz3zmM3n22Wdr2+fMmZO6urpMmjQphx56aDbddNPsueeemTp1arPzPPjggznkkEOy6aabpnPnzhkwYED++te/1ravWLEi5513XrbYYotss802GTt2bLPjX3vttQwfPjxdu3ZNQ0NDDjvssMycObO2febMmTn00EPTsWPHNDQ0ZJ999skjjzySKVOmZNiwYWlqakpdXV3q6upq5168eHFGjRqVbbfdNptttln69u2bKVOm1M658o7rHXfckV133TX19fV5/vnnW/pyt+i1evtd3vHjx+eiiy7KzJkza7OPHz9+rV6PJLnsssuy9dZbp2PHjjn99NPz1ltvrfPsAAAA72advuf0tNNOy7hx42q/vvHGGzNs2LBV9nvjjTcycuTIPPLII5k8eXJatWqV4447bpU7iKNHj86oUaMyY8aMNDY2ZvDgwVm2bFmSZMaMGTn88MOz6667ZurUqXnggQdyzDHHZPny5bXjb7rppmy22WZ56KGHcsUVV+Tiiy/Oz372s9r2448/PvPmzcvdd9+d6dOnp0+fPjn88MPzl7/8JUkyZMiQbLfddpk2bVqmT5+eCy64IJtsskn69++fq666Kg0NDXnppZfy0ksvZdSoUUmSESNGZOrUqZk4cWIef/zxHH/88TnqqKPy9NNP1x73zTffzOWXX57rr78+Tz755PtyV/OdXqu3O/HEE3Puuedmt912q81+4oknrtXr8f3vfz9jx47NJZdckkceeSTdunXLNddc845zLV68OAsWLGi2AAAArLWqBU499dTq2GOPrebNm1fV19dXc+bMqebMmVO1a9eueuWVV6pjjz22OvXUU9d4/CuvvFIlqZ544omqqqpq9uzZVZLq+uuvr+3z5JNPVkmqWbNmVVVVVYMHD64OOOCANZ7z4IMPrg488MBm6/bbb7/q/PPPr6qqqn71q19VDQ0N1VtvvdVsnx133LH67ne/W1VVVXXs2LEaP378as8/bty4qlOnTs3WzZ07t2rdunX14osvNlt/+OGHVxdeeGHtuCTVjBkz1jh7VVXVL3/5yypJ9de//nWVbdtvv331L//yL1VVrd1r9fezjhkzptpzzz2bnXNtXo9+/fpVZ555ZrPtffv2XeVcbzdmzJgqySpLU1JVFovF8lFZAIBVNDU1VUmqpqamd9xvne6cdu3aNQMHDsz48eMzbty4DBw4MFtuueUq+z399NMZPHhwdthhhzQ0NKRXr15JssrbW3v37l37ulu3bkmSefPmJfl/d07fyduPX3mOlcfPnDkzCxcuTJcuXdKhQ4faMnv27NpbjEeOHJnhw4fniCOOyGWXXdbsrcer88QTT2T58uVpbGxsds777ruv2bFt27ZdZbb36p1eq7WxNq/HrFmz0rdv32bH9evX7x3Pe+GFF6apqam2vPDCC2s9EwAAQJt1PfC0007LiBEjkiRXX331avc55phjsv322+e6665L9+7ds2LFiuy+++5ZsmRJs/022WST2td1dXVJUnvrb/v27d91lrcfv/IcK49fuHBhunXr1uz7QVda+f2ZY8eOzUknnZQ777wzd999d8aMGZOJEyfmuOOOW+3jLVy4MK1bt8706dPTunXrZts6dOhQ+7p9+/a157MmDQ0NSZKmpqZVPhX4tddeS6dOndb4XP/+tVoba/N6rIv6+vrU19ev8/EAAMBH2zrH6VFHHZUlS5akrq4uAwYMWGX7/Pnz89RTT+W6667LQQcdlCR54IEHWvw4vXv3zuTJk3PRRRet05x9+vTJyy+/nDZt2tTu3K5OY2NjGhsbc84552Tw4MEZN25cjjvuuLRt27bZ97cmyd57753ly5dn3rx5tee2rnbaaae0atUq06dPz/bbb19b/9xzz6WpqSmNjY3rfO7Vzb42r8cuu+yShx56KKecckpt3W9+85t1ngMAAODdrNPbepOkdevWmTVrVn73u9+tcvcwSTp37pwuXbrke9/7Xp555pn84he/yMiRI1v8OBdeeGGmTZuWM888M48//nh+//vf59prr82rr766VscfccQR6devXwYNGpR77703c+bMya9//euMHj06jzzySBYtWpQRI0ZkypQpmTt3bh588MFMmzYtu+yyS5K//azRhQsXZvLkyXn11Vfz5ptvprGxMUOGDMkpp5ySSZMmZfbs2Xn44Ydz6aWX5s4772zR8+vYsWOGDx+ec889N3fccUdmz56d+++/P0OGDMknPvGJ9O/fv8Wv2Uq9evXK7NmzM2PGjLz66qtZvHjxu74eSfLlL385N954Y8aNG5c//OEPGTNmTJ588sl1ngMAAODdrHOcJn97S+rKt6WucuJWrTJx4sRMnz49u+++e84555xceeWVLX6MxsbG3HvvvZk5c2b233//9OvXLz/+8Y/Tps3a3fStq6vLXXfdlU9+8pMZNmxYGhsb80//9E+ZO3dutt5667Ru3Trz58/PKaecksbGxpxwwgk5+uija3dq+/fvnzPOOCMnnnhiunbtmiuuuCJJMm7cuJxyyik599xzs/POO2fQoEGZNm3aOv2s13/913/NqaeemvPPPz+77bZbhg4dmt69e+cnP/nJu74t+J187nOfy1FHHZVDDz00Xbt2zS233PKur0fyt0/6/frXv57zzjsv++yzT+bOnZsvfvGL6zwHAADAu6mrqqoqPQQfPgsWLEinTp3SlGT1f30B8CHkf6kAsIpaGzQ1rfHmZvIe75wCAADA+0GcAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACgOHEKAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BAAAoTpwCAABQnDgFAACguDalB+BDrqkpaWgoPQUAAPAB584pAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAAChOnAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDi2pQegA+nqqqSJAsWLCg8CQAAUNLKJljZCGsiTlkv5s+fnyTp0aNH4UkAAIAPgtdffz2dOnVa43ZxynqxxRZbJEmef/75d/wXkA+mBQsWpEePHnnhhRfS0NBQehxayPXbuLl+GzfXb+Pm+m3cXL8Prqqq8vrrr6d79+7vuJ84Zb1o1epv387cqVMn/3HYiDU0NLh+GzHXb+Pm+m3cXL+Nm+u3cXP9PpjW5oaVD0QCAACgOHEKAABAceKU9aK+vj5jxoxJfX196VFYB67fxs3127i5fhs312/j5vpt3Fy/jV9d9W6f5wsAAADrmTunAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxyjq7+uqr06tXr7Rr1y59+/bNww8//I7733bbbfn4xz+edu3aZY899shdd921gSZldVpy/a677rocdNBB6dy5czp37pwjjjjiXa8361dLf/+tNHHixNTV1WXQoEHrd0DeUUuv32uvvZazzjor3bp1S319fRobG/03tJCWXrurrroqO++8c9q3b58ePXrknHPOyVtvvbWBpuXt7r///hxzzDHp3r176urqcvvtt7/rMVOmTEmfPn1SX1+fj33sYxk/fvx6n5PVa+n1mzRpUo488sh07do1DQ0N6devX376059umGFZZ+KUdXLrrbdm5MiRGTNmTB599NHsueeeGTBgQObNm7fa/X/9619n8ODBOf300/PYY49l0KBBGTRoUH77299u4MlJWn79pkyZksGDB+eXv/xlpk6dmh49euRTn/pUXnzxxQ08OUnLr99Kc+bMyahRo3LQQQdtoElZnZZevyVLluTII4/MnDlz8oMf/CBPPfVUrrvuumy77bYbeHJaeu0mTJiQCy64IGPGjMmsWbNyww035NZbb81Xv/rVDTw5SfLGG29kzz33zNVXX71W+8+ePTsDBw7MoYcemhkzZuTss8/O8OHDBU4hLb1+999/f4488sjcddddmT59eg499NAcc8wxeeyxx9bzpLwnFayD/fffvzrrrLNqv16+fHnVvXv36tJLL13t/ieccEI1cODAZuv69u1bfeELX1ivc7J6Lb1+f2/ZsmVVx44dq5tuuml9jcg7WJfrt2zZsqp///7V9ddfX5166qnVscceuwEmZXVaev2uvfbaaocddqiWLFmyoUZkDVp67c4666zqsMMOa7Zu5MiR1QEHHLBe5+TdJal+9KMfveM+5513XrXbbrs1W3fiiSdWAwYMWI+TsTbW5vqtzq677lpddNFF7/9AvG/cOaXFlixZkunTp+eII46orWvVqlWOOOKITJ06dbXHTJ06tdn+STJgwIA17s/6sy7X7++9+eabWbp0abbYYov1NSZrsK7X7+KLL85WW22V008/fUOMyRqsy/W744470q9fv5x11lnZeuuts/vuu+eSSy7J8uXLN9TYZN2uXf/+/TN9+vTaW3+fe+653HXXXfn0pz+9QWbmvfFnlw+XFStW5PXXX/dnlw+4NqUHYOPz6quvZvny5dl6662brd96663z+9//frXHvPzyy6vd/+WXX15vc7J663L9/t7555+f7t27r/I/bda/dbl+DzzwQG644YbMmDFjA0zIO1mX6/fcc8/lF7/4RYYMGZK77rorzzzzTM4888wsXbo0Y8aM2RBjk3W7dieddFJeffXVHHjggamqKsuWLcsZZ5zhbb0biTX92WXBggVZtGhR2rdvX2gy1sW3v/3tLFy4MCeccELpUXgH7pwCLXLZZZdl4sSJ+dGPfpR27dqVHod38frrr+fkk0/Oddddly233LL0OKyDFStWZKuttsr3vve97LPPPjnxxBMzevTo/Od//mfp0XgXU6ZMySWXXJJrrrkmjz76aCZNmpQ777wz3/jGN0qPBh8pEyZMyEUXXZTvf//72WqrrUqPwztw55QW23LLLdO6dev8+c9/brb+z3/+c7bZZpvVHrPNNtu0aH/Wn3W5fit9+9vfzmWXXZaf//zn6d279/ockzVo6fV79tlnM2fOnBxzzDG1dStWrEiStGnTJk899VR23HHH9Ts0Nevy+69bt27ZZJNN0rp169q6XXbZJS+//HKWLFmStm3brteZ+Zt1uXZf//rXc/LJJ2f48OFJkj322CNvvPFGPv/5z2f06NFp1co9gg+yNf3ZpaGhwV3TjcjEiRMzfPjw3Hbbbd7xtRHwX0VarG3bttlnn30yefLk2roVK1Zk8uTJ6dev32qP6devX7P9k+RnP/vZGvdn/VmX65ckV1xxRb7xjW/knnvuyb777rshRmU1Wnr9Pv7xj+eJJ57IjBkzass//MM/1D59skePHhty/I+8dfn9d8ABB+SZZ56p/aVCkvzhD39It27dhOkGtC7X7s0331wlQFf+JUNVVetvWN4X/uyy8bvlllsybNiw3HLLLRk4cGDpcVgbpT+RiY3TxIkTq/r6+mr8+PHV7373u+rzn/98tfnmm1cvv/xyVVVVdfLJJ1cXXHBBbf8HH3ywatOmTfXtb3+7mjVrVjVmzJhqk002qZ544olST+EjraXX77LLLqvatm1b/eAHP6heeuml2vL666+XegofaS29fn/Pp/WW1dLr9/zzz1cdO3asRowYUT311FPV//zP/1RbbbVV9c1vfrPUU/jIaum1GzNmTNWxY8fqlltuqZ577rnq3nvvrXbcccfqhBNOKPUUPtJef/316rHHHqsee+yxKkn1z//8z9Vjjz1WzZ07t6qqqrrggguqk08+ubb/c889V2266abVV77ylWrWrFnV1VdfXbVu3bq65557Sj2Fj7SWXr+bb765atOmTXX11Vc3+7PLa6+9VuopsBbEKevs3//936uePXtWbdu2rfbff//qN7/5TW3bwQcfXJ166qnN9v/+979fNTY2Vm3btq1222236s4779zAE/N2Lbl+22+/fZVklWXMmDEbfnCqqmr577+3E6fltfT6/frXv6769u1b1dfXVzvssEP1rW99q1q2bNkGnpqqatm1W7p0aTV27Nhqxx13rNq1a1f16NGjOvPMM6u//vWvG35wql/+8per/X/Zymt26qmnVgcffPAqx+y1115V27Ztqx122KEaN27cBp+bv2np9Tv44IPfcX8+mOqqyvtKAAAAKMv3nAIAAFCcOAUAAKA4cQoAAEBx4hQAAIDixCkAAADFiVMAAACKE6cAAAAUJ04BgCTJmDFjcv/995ceA4CPqLqqqqrSQwAAZS1btiw9e/bMEUcckf/6r/963877+OOP57vf/W6mTp2aTTfdNJtuummqqkq/fv3y2c9+NjfffHOuvPLK9+3xANh4uXMKAOT222/PSy+9lB/84Adpamp6z+erqiqXXHJJ+vbtm+7du+e+++7LAw88kHvvvTf33ntv+vTpk6OOOip33XXX+zA9AB8G4hQAyDXXXJPddtstixYtys033/yez3f++edn9OjRueaaazJ69Oh07Nixtq2uri6DBg3KPffck9dff/09PxYAHw7iFAA+4n7/+9/n+eefz/e+970kyfXXX/+ezvezn/0s3/72t3PYYYdl2LBha9xvr732ymc/+9ksW7bsPT0eAB8O4hQAPuKuvfbafOELX0j//v3z8Y9/PI899lgeffTR2vYpU6aka9euqaurS11dXbbbbrssXLgwl156aerq6tKmTZuMGTOmtv+YMWNSVVU+//nPv+tjX3HFFWndunWSv0Xt5z//+Wy//fYZP358fvrTn+ZLX/pSdtxxx+y0006ZNGlSFi9enCuuuCLHHXdcOnfunKFDh2bJkiXv/4sCwAYnTgHgI+zNN9/MrbfeWrvDufKfb797esghh+S5557L/vvvnyS54IIL0qFDh5xzzjnZdttt88tf/jIXXXRRkmT27NmZOnVqkuSAAw5418dv27Zt6urqkiRHHnlk+vfvn+effz7/8z//ky5duuTf/u3fMnPmzLRp0yannHJKvvGNb2TYsGH50Y9+lHHjxuWmm27Ktdde+/69IAAUI04B4CNswoQJOfLII7PlllsmSU4++eS0bt06EyZMyKJFi2r7dezYMbfddls233zzXHzxxZk/f37OP//8XHHFFTnooINq+82aNav29dZbb73ax/za176WnXbaKb169UqvXr2yww47ZPTo0UmS7bbbLkkycODA7LvvvkmSDh065Oijj84bb7yR008/PV27dk3yt5hN/nZnF4CNnzgFgI+wa6+9Nl/84hdrv+7WrVsGDBiQpqam3Hbbbc327dmzZ/7jP/4jr7zySo4++ugsXbo0J510UrN93v5Jv2v6sKNvfvObueuuu/Liiy9m7ty5+da3vpVvfetbSZI2bdokSe1u6koNDQ2rrN9ss81WeUwANl7iFAA+oh566KEsW7Ys/fv3b7Z+dW/tXWnIkCE5/vjjM23atBx99NGrbO/Ro0ft6zlz5qzxsXfaaadss802SZL99ttvXcavWbFixXs6HoAPBnEKAB9R11xzTbO7piv9wz/8Q7p06ZJf/epX+cMf/tBs27Jly7Jw4cJ07949X/jCFzJ//vxm2/fbb79svvnmSZKf/OQn7/j4Kz8IaeXdUgA+2sQpAHwEzZ8/P3fffXeGDBmyyra2bdvW3q7793dPL7zwwpx22mkZN25cXn755QwfPrzZ9vr6+px99tlJkhtuuCFvvPHG+nkCAHzoiFMA+AgaN25cPve5z6Vjx46r3T506NAkyX/9139l6dKlSZIf//jHeeutt/KP//iP+dSnPpUzzjgjt99+e+3no6701a9+NQcddFBeeOGFfPnLX05VVWs918q36K7pmNWtb8n5AfjgEqcA8BFTVVW++93vrvYtvSv16dMnvXv3zp///Of85Cc/yRNPPJEvfOELufzyy2v7fOtb30qrVq3y5S9/OQ8//HBt/SabbJJ77rkn//iP/5gbbrghn/3sZ1d5e/BvfvObLFiwIO3bt099fX1t/TPPPJNk1e9XffbZZ5Mkzz//fG3d7NmzkyR//OMfs3z58ha+CgB80NRV/roRAD5SfvrTn+Yzn/nMu/4c0qeffjp/+tOfcvTRR2fKlClZtGhRPve5z+UHP/hBkuSII47I5MmTk/zt7bz/5//8n3z1q19tdo4HHngg//3f/537778/m266adq1a5cFCxZk8803z8CBAzNs2LBstdVWSZLRo0fnX/7lX7Jo0aK0adMmBx54YG6//fYccsghmTFjRpKkU6dO+cpXvpJevXrlnHPOySuvvJLkbx+w9POf/zw9e/Z8P18qADYgcQoAAEBx3tYLAABAceIUAACA4sQpAAAAxYlTAAAAihOnAAAAFCdOAQAAKE6cAgAAUJw4BQAAoDhxCgAAQHHiFAAAgOLEKQAAAMWJUwAAAIoTpwAAABQnTgEAACju/wO3TjL9s82eqQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculation of  the mean values of the three teams\n",
    "mean_mu=stat.mean(dxg_mu)\n",
    "mean_mc=stat.mean(dxg_mc)\n",
    "mean_liv=stat.mean(dxg_liv)\n",
    "x_axis_mean = np.array(['Manchester United', 'Liverpool', 'Manchester City'])\n",
    "y_axis_mean = np.array([mean_mu,mean_liv,mean_mc])\n",
    "color = ['red', (0, 0.78, 0.41), 'blue']\n",
    "\n",
    "plt.xlabel(\"ΔxGm\",fontdict = {'family':'Times New Roman','size':15})\n",
    "\n",
    "plt.barh(x_axis_mean, y_axis_mean, color = color)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "db33d9c0-1a5f-4f7b-82d7-65e64f2b7da1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}