{ "cells": [ { "cell_type": "markdown", "id": "db9bc293", "metadata": {}, "source": [ "## Name : ADVAIT GURUNATH CHAVAN\n", "## Contact Number : +91 70214 55852\n", "## Mail ID : advaitchavan135@gmail.com \n", "\n", "## Oasis Infobyte Data Science Intern\n", "\n", "## Task 5 : Sales Predicition using Python" ] }, { "cell_type": "markdown", "id": "cb2c0a17", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "id": "d8e860ae", "metadata": {}, "source": [ "## 1. Importing the necessary dependencies" ] }, { "cell_type": "code", "execution_count": 3, "id": "f9a33522", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "import plotly.io as plio\n", "plio.templates\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "from sklearn.model_selection import train_test_split\n", "\n", "from sklearn.metrics import mean_squared_error, r2_score\n", "\n", "from sklearn.linear_model import LinearRegression, Ridge, Lasso, ElasticNet\n", "from sklearn.ensemble import RandomForestRegressor, GradientBoostingRegressor\n", "\n", "from xgboost import XGBRegressor\n", "\n", "import joblib\n", "\n", "from warnings import filterwarnings\n", "filterwarnings(action='ignore')" ] }, { "cell_type": "markdown", "id": "7d9d5f85", "metadata": {}, "source": [ "## 2. Exploring the dataset" ] }, { "cell_type": "code", "execution_count": 4, "id": "6b16f8c6", "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('advertising.csv')" ] }, { "cell_type": "code", "execution_count": 5, "id": "95c0b763", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Unnamed: 0TVRadioNewspaperSales
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" ], "text/plain": [ " Unnamed: 0 TV Radio Newspaper Sales\n", "0 1 230.1 37.8 69.2 22.1\n", "1 2 44.5 39.3 45.1 10.4\n", "2 3 17.2 45.9 69.3 9.3\n", "3 4 151.5 41.3 58.5 18.5\n", "4 5 180.8 10.8 58.4 12.9\n", ".. ... ... ... ... ...\n", "195 196 38.2 3.7 13.8 7.6\n", "196 197 94.2 4.9 8.1 9.7\n", "197 198 177.0 9.3 6.4 12.8\n", "198 199 283.6 42.0 66.2 25.5\n", "199 200 232.1 8.6 8.7 13.4\n", "\n", "[200 rows x 5 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data" ] }, { "cell_type": "code", "execution_count": 6, "id": "598ea618", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 200 entries, 0 to 199\n", "Data columns (total 5 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Unnamed: 0 200 non-null int64 \n", " 1 TV 200 non-null float64\n", " 2 Radio 200 non-null float64\n", " 3 Newspaper 200 non-null float64\n", " 4 Sales 200 non-null float64\n", "dtypes: float64(4), int64(1)\n", "memory usage: 7.9 KB\n" ] } ], "source": [ "data.info()" ] }, { "cell_type": "markdown", "id": "06080e24", "metadata": {}, "source": [ "### Removing the unnecessary column Unnamed: 0" ] }, { "cell_type": "code", "execution_count": 7, "id": "1886e161", "metadata": {}, "outputs": [], "source": [ "data.drop('Unnamed: 0', axis=1, inplace=True)" ] }, { "cell_type": "code", "execution_count": 8, "id": "2d3da664", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TVRadioNewspaperSales
0230.137.869.222.1
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" ], "text/plain": [ " TV Radio Newspaper Sales\n", "0 230.1 37.8 69.2 22.1\n", "1 44.5 39.3 45.1 10.4\n", "2 17.2 45.9 69.3 9.3\n", "3 151.5 41.3 58.5 18.5\n", "4 180.8 10.8 58.4 12.9\n", ".. ... ... ... ...\n", "195 38.2 3.7 13.8 7.6\n", "196 94.2 4.9 8.1 9.7\n", "197 177.0 9.3 6.4 12.8\n", "198 283.6 42.0 66.2 25.5\n", "199 232.1 8.6 8.7 13.4\n", "\n", "[200 rows x 4 columns]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data\n", "#data.to_csv('advertising_cleaned.csv', index=False)" ] }, { "cell_type": "code", "execution_count": 9, "id": "72a5a6df", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 200 entries, 0 to 199\n", "Data columns (total 4 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 TV 200 non-null float64\n", " 1 Radio 200 non-null float64\n", " 2 Newspaper 200 non-null float64\n", " 3 Sales 200 non-null float64\n", "dtypes: float64(4)\n", "memory usage: 6.4 KB\n" ] } ], "source": [ "data.info()" ] }, { "cell_type": "code", "execution_count": 10, "id": "c344da9b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TVRadioNewspaperSales
count200.000000200.000000200.000000200.000000
mean147.04250023.26400030.55400014.022500
std85.85423614.84680921.7786215.217457
min0.7000000.0000000.3000001.600000
25%74.3750009.97500012.75000010.375000
50%149.75000022.90000025.75000012.900000
75%218.82500036.52500045.10000017.400000
max296.40000049.600000114.00000027.000000
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" ], "text/plain": [ " TV Radio Newspaper Sales\n", "count 200.000000 200.000000 200.000000 200.000000\n", "mean 147.042500 23.264000 30.554000 14.022500\n", "std 85.854236 14.846809 21.778621 5.217457\n", "min 0.700000 0.000000 0.300000 1.600000\n", "25% 74.375000 9.975000 12.750000 10.375000\n", "50% 149.750000 22.900000 25.750000 12.900000\n", "75% 218.825000 36.525000 45.100000 17.400000\n", "max 296.400000 49.600000 114.000000 27.000000" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.describe()" ] }, { "cell_type": "code", "execution_count": 11, "id": "72ac6968", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.duplicated().sum()" ] }, { "cell_type": "markdown", "id": "d0ddbfa6", "metadata": {}, "source": [ "### Correlation plot to visualize the impact of each feature on target(sales)" ] }, { "cell_type": "code", "execution_count": 12, "id": "3324abfd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.heatmap(data.corr(),annot=True)" ] }, { "cell_type": "markdown", "id": "a131c0eb", "metadata": {}, "source": [ "#### From the above correlation plot we have feature: -\n", "#### 1. 'TV' having an impact score of 0.78 on Sales\n", "#### 2. 'Radio' having an impact score of 0.58 on Sales\n", "#### 3. 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"white", "zerolinewidth": 2 } } }, "title": { "text": "Scatter Plot of TV(Feature) vs Sales(Target)" }, "xaxis": { "title": { "text": "TV" } }, "yaxis": { "title": { "text": "Sales" } } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a scatter plot\n", "fig = go.Figure(data=go.Scatter(x=data['TV'], y=data['Sales'], mode='markers', marker=dict(color='orange', size=8)))\n", "\n", "# Customize the layout\n", "fig.update_layout(\n", " title=\"Scatter Plot of TV(Feature) vs Sales(Target)\",\n", " xaxis_title=\"TV\",\n", " yaxis_title=\"Sales\"\n", ")\n", "\n", "# Show the plot\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "d9d66d99", "metadata": {}, "source": [ "#### From the above scatterplot we can infer that \n", "#### As the score of TV is increasing score of Sales is also increasing" ] }, { "cell_type": "markdown", "id": "97fa803b", "metadata": {}, "source": [ "### [B]Plotly Scatterplot of Radio(feature) vs Sales(Target)" ] }, { "cell_type": "code", "execution_count": 16, "id": "113ed087", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { 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"" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Scatter Plot of Radio(Feature) vs Sales(Target)" }, "xaxis": { "title": { "text": "Radio" } }, "yaxis": { "title": { "text": "Sales" } } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a scatter plot\n", "fig = go.Figure(data=go.Scatter(x=data['Radio'], y=data['Sales'], mode='markers', marker=dict(color='red', size=8)))\n", "\n", "# Customize the layout\n", "fig.update_layout(\n", " title=\"Scatter Plot of Radio(Feature) vs Sales(Target)\",\n", " xaxis_title=\"Radio\",\n", " yaxis_title=\"Sales\"\n", ")\n", "\n", "# Show the plot\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "42bbcf8c", "metadata": {}, "source": [ "#### From the above scatterplot we can infer that \n", "#### As the score of Radio is increasing score of Sales is also increasing" ] }, { "cell_type": "markdown", "id": "b2537cef", "metadata": {}, "source": [ "### [C]Plotly Scatterplot of Newspaper(feature) vs Sales(Target)" ] }, { "cell_type": "code", "execution_count": 17, "id": "ec34e569", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" 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"#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Scatter Plot of Newspaper(Feature) vs Sales(Target)" }, "xaxis": { "title": { "text": "Newspaper" } }, "yaxis": { "title": { "text": "Sales" } } } }, "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a scatter plot\n", "fig = go.Figure(data=go.Scatter(x=data['Newspaper'], y=data['Sales'], mode='markers', marker=dict(color='blue', size=8)))\n", "\n", "# Customize the layout\n", "fig.update_layout(\n", " title=\"Scatter Plot of Newspaper(Feature) vs Sales(Target)\",\n", " xaxis_title=\"Newspaper\",\n", " yaxis_title=\"Sales\"\n", ")\n", "\n", "# Show the plot\n", "fig.show()" ] }, { "cell_type": "markdown", "id": "3c1c732e", "metadata": {}, "source": [ "### [i] Distribution of TV feature" ] }, { "cell_type": "code", "execution_count": 126, "id": "c1c5602f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "ax = sns.histplot(data['TV'], bins=20, kde=True, color='orange')\n", "plt.xlabel('TV')\n", "plt.ylabel('Frequency')\n", "plt.title('Distribution of TV feature')\n", "for p in ax.patches:\n", " ax.annotate(f'{p.get_height()}', (p.get_x() + p.get_width() / 2., p.get_height()),\n", " ha='center', va='center', fontsize=10, color='black', xytext=(0, 10),\n", " textcoords='offset points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1147747e", "metadata": {}, "source": [ "### [ii] Distribution of Radio feature" ] }, { "cell_type": "code", "execution_count": 46, "id": "66974725", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "ax = sns.histplot(data['Radio'], bins=20, kde=True, color='red')\n", "plt.xlabel('Radio')\n", "plt.ylabel('Frequency')\n", "plt.title('Distribution of Radio feature')\n", "for p in ax.patches:\n", " ax.annotate(f'{p.get_height()}', (p.get_x() + p.get_width() / 2., p.get_height()),\n", " ha='center', va='center', fontsize=10, color='black', xytext=(0, 10),\n", " textcoords='offset points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4c894472", "metadata": {}, "source": [ "### [iii] Distribution of Newspaper feature" ] }, { "cell_type": "code", "execution_count": 47, "id": "bbc1a3c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "ax = sns.histplot(data['Newspaper'], bins=20, kde=True)\n", "plt.xlabel('Newspaper')\n", "plt.ylabel('Frequency')\n", "plt.title('Distribution of Newspaper feature')\n", "for p in ax.patches:\n", " ax.annotate(f'{p.get_height()}', (p.get_x() + p.get_width() / 2., p.get_height()),\n", " ha='center', va='center', fontsize=10, color='black', xytext=(0, 10),\n", " textcoords='offset points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4f3c3fcd", "metadata": {}, "source": [ "### [iv] Distribution of Sales" ] }, { "cell_type": "code", "execution_count": 48, "id": "931cf5cc", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "ax = sns.histplot(data['Sales'], bins=20, kde=True, color='darkviolet')\n", "plt.xlabel('Sales')\n", "plt.ylabel('Frequency')\n", "plt.title('Distribution of Sales(target)')\n", "for p in ax.patches:\n", " ax.annotate(f'{p.get_height()}', (p.get_x() + p.get_width() / 2., p.get_height()),\n", " ha='center', va='center', fontsize=10, color='black', xytext=(0, 10),\n", " textcoords='offset points')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c7152172", "metadata": {}, "source": [ "### 3. Preparing data for Training (Data Modelling)\n", "\n", "#### Since, we need to predict the Sales using different features of the dataset\n", "#### We consider Sales as a seperate dataset say 'y' and all other features as 'x'" ] }, { "cell_type": "code", "execution_count": 54, "id": "3e9657b4", "metadata": {}, "outputs": [], "source": [ "x = data.iloc[:,:3]\n", "y = data.iloc[:,3:]" ] }, { "cell_type": "code", "execution_count": 53, "id": "e9f23f2f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TVRadioNewspaper
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" ], "text/plain": [ " Sales\n", "0 22.1\n", "1 10.4\n", "2 9.3\n", "3 18.5\n", "4 12.9\n", ".. ...\n", "195 7.6\n", "196 9.7\n", "197 12.8\n", "198 25.5\n", "199 13.4\n", "\n", "[200 rows x 1 columns]" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y" ] }, { "cell_type": "code", "execution_count": 58, "id": "0a0d0c25", "metadata": {}, "outputs": [], "source": [ "x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.3)" ] }, { "cell_type": "markdown", "id": "0d3d1865", "metadata": {}, "source": [ "### 4.Training Models using the above data" ] }, { "cell_type": "markdown", "id": "660c2f12", "metadata": {}, "source": [ "#### [A] Linear Regression Model" ] }, { "cell_type": "code", "execution_count": 59, "id": "aaad2d47", "metadata": {}, "outputs": [], "source": [ "model_1 = LinearRegression()\n", "model_1.fit(x_train, y_train)\n", "y_pred_1 = model_1.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 60, "id": "d2a8f660", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 3.4103199537271522\n", "R-Squared score is : 0.8859649783578775\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_1)\n", "r2 = r2_score(y_test, y_pred_1)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 61, "id": "e23b1e15", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.scatter(y_test, y_pred_1, alpha=0.5, color='darkviolet')\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (Linear Regression)')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f0a5ca77", "metadata": {}, "source": [ "#### [B] Random Forest Regression Model" ] }, { "cell_type": "code", "execution_count": 62, "id": "500ed7e6", "metadata": {}, "outputs": [], "source": [ "model_2 = RandomForestRegressor() \n", "model_2.fit(x_train, y_train) \n", "y_pred_2 = model_2.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 63, "id": "e04e8a05", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 0.9201265666666639\n", "R-Squared score is : 0.9692326073896234\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_2)\n", "r2 = r2_score(y_test, y_pred_2)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 65, "id": "a4ae95ca", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_2, label=model_2, alpha=0.5, color='green')\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (Random Forest Regression)')\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3a2fa0b3", "metadata": {}, "source": [ "#### [C] Ridge Regression Model" ] }, { "cell_type": "code", "execution_count": 66, "id": "3c2f3506", "metadata": {}, "outputs": [], "source": [ "model_3 = Ridge() \n", "model_3.fit(x_train, y_train) \n", "y_pred_3 = model_3.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 67, "id": "96009586", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 3.410298600429495\n", "R-Squared score is : 0.885965692374097\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_3)\n", "r2 = r2_score(y_test, y_pred_3)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 68, "id": "5530c5f1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_3, label=model_3, alpha=0.5, color='darkblue')\n", "\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (Ridge Regression)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "677b9dfb", "metadata": {}, "source": [ "#### [D] Lasso Regression Model" ] }, { "cell_type": "code", "execution_count": 69, "id": "93d1d101", "metadata": {}, "outputs": [], "source": [ "model_4 = Lasso() \n", "model_4.fit(x_train, y_train) \n", "y_pred_4 = model_4.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 70, "id": "f5ac6f9b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 3.3691010188533244\n", "R-Squared score is : 0.8873432660828356\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_4)\n", "r2 = r2_score(y_test, y_pred_4)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 71, "id": "f57acdfd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_4, label=model_4, alpha=0.5, color='black')\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (Lasso Regression)')\n", "\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e381c1e0", "metadata": {}, "source": [ "#### [E] ElasticNet Regression Model" ] }, { "cell_type": "code", "execution_count": 72, "id": "47aa80cd", "metadata": {}, "outputs": [], "source": [ "model_5 = ElasticNet() \n", "model_5.fit(x_train, y_train) \n", "y_pred_5 = model_5.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 73, "id": "13bed138", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 3.3869938622701663\n", "R-Squared score is : 0.8867449612862289\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_5)\n", "r2 = r2_score(y_test, y_pred_5)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 104, "id": "0b4571c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_5, label=model_5, alpha=0.5, color='gold')\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (ElasticNet Regression)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f589eb3a", "metadata": {}, "source": [ "#### [F] Gradient Boosting Regression Model" ] }, { "cell_type": "code", "execution_count": 75, "id": "44c15d7b", "metadata": {}, "outputs": [], "source": [ "model_6 = GradientBoostingRegressor() \n", "model_6.fit(x_train, y_train) \n", "y_pred_6 = model_6.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 76, "id": "d533e8ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 0.7200909946419605\n", "R-Squared score is : 0.9759214404300837\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_6)\n", "r2 = r2_score(y_test, y_pred_6)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 77, "id": "d3e5bfec", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_6, label=model_6, alpha=0.5, color='red')\n", "\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (Gradient Boosting Regression)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "373da49f", "metadata": {}, "source": [ "#### [G] XGBoost Regression Model" ] }, { "cell_type": "code", "execution_count": 78, "id": "5aaa13e3", "metadata": {}, "outputs": [], "source": [ "model_7 = XGBRegressor()\n", "model_7.fit(x_train, y_train) \n", "y_pred_7 = model_7.predict(x_test)" ] }, { "cell_type": "code", "execution_count": 79, "id": "67fbbdd2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean Square Error is : 0.7874030957126344\n", "R-Squared score is : 0.9736706437287413\n" ] } ], "source": [ "mse = mean_squared_error(y_test, y_pred_7)\n", "r2 = r2_score(y_test, y_pred_7)\n", "print(\"Mean Square Error is :\", mse)\n", "print(\"R-Squared score is :\",r2)" ] }, { "cell_type": "code", "execution_count": 80, "id": "eba245ed", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "\n", "plt.scatter(y_test, y_pred_7, label='XGBoost Regression Model', alpha=0.5, color='brown')\n", "\n", "plt.xlabel('Actual Sales')\n", "plt.ylabel('Predicted Sales')\n", "plt.title('Actual vs. Predicted Sales (XGBoost Regression)')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5b767035", "metadata": {}, "source": [ "##### Model r^2 scores of each regression model" ] }, { "cell_type": "code", "execution_count": 81, "id": "d8aeabd1", "metadata": {}, "outputs": [], "source": [ "model_r2_scores = {\n", " \"Linear Regression Model\": r2_score(y_test, y_pred_1),\n", "\n", " \"Random Forest Regression Model\": r2_score(y_test, y_pred_2),\n", "\n", " \"Ridge Regression Model\": r2_score(y_test, y_pred_3),\n", "\n", " \"Lasso Regression Model\": r2_score(y_test, y_pred_4),\n", "\n", " \"ElasticNet Regression Model\": r2_score(y_test, y_pred_5),\n", "\n", " \"Gradient Boosting Regression Model\": r2_score(y_test, y_pred_6),\n", "\n", " \"XGBoost Regression Model\": r2_score(y_test, y_pred_7)\n", "}" ] }, { "cell_type": "code", "execution_count": 93, "id": "40d4b1ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Linear Regression Model': 0.8859649783578775,\n", " 'Random Forest Regression Model': 0.9692326073896234,\n", " 'Ridge Regression Model': 0.885965692374097,\n", " 'Lasso Regression Model': 0.8873432660828356,\n", " 'ElasticNet Regression Model': 0.8867449612862289,\n", " 'Gradient Boosting Regression Model': 0.9759214404300837,\n", " 'XGBoost Regression Model': 0.9736706437287413}" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_r2_scores" ] }, { "cell_type": "code", "execution_count": 90, "id": "bcfa3199", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best Performing Model is Gradient Boosting Regression Model with an R^2 score of 0.9759214404300837\n" ] } ], "source": [ "best_model_name = max(model_r2_scores, key=model_r2_scores.get)\n", "best_r2_score = model_r2_scores[best_model_name]\n", "\n", "print(f\"Best Performing Model is {best_model_name} with an R^2 score of {best_r2_score}\")" ] }, { "cell_type": "markdown", "id": "129f6c43", "metadata": {}, "source": [ "### 5. Saving the Model having the best fit" ] }, { "cell_type": "code", "execution_count": 83, "id": "2ae7880c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['gradient_boosting_model.pkl']" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "final_model = model_6\n", "joblib.dump(final_model, 'gradient_boosting_model.pkl')" ] }, { "cell_type": "code", "execution_count": 89, "id": "583e8abc", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "feature_importances = pd.Series(final_model.feature_importances_, index=x.columns)\n", "plt.figure(figsize=(10, 6))\n", "features = feature_importances\n", "features.plot(kind='bar')\n", "plt.xlabel('Feature')\n", "plt.ylabel('Feature Importance Score')\n", "plt.title('Features having impact on the Sales(recognised by Gradient Boosting Regression Model)')\n", "for index, value in enumerate(features):\n", " plt.text(index, value, f'{value:.2f}', ha='center', va='bottom')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "1715d6c1", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }