From 3d09cdf6c1605b68a04e825cbc0d00a5b62b1cd8 Mon Sep 17 00:00:00 2001
From: Sang Putu Sandhyana Yogi
<79888425+youronlydimwit@users.noreply.github.com>
Date: Mon, 15 Jul 2024 15:03:15 +0700
Subject: [PATCH] Add files via upload
---
.../Linear_Regression_Student_Scores.ipynb | 701 ++++++++++++++++++
1 file changed, 701 insertions(+)
create mode 100644 Predictions/Linear Regression/Linear_Regression_Student_Scores.ipynb
diff --git a/Predictions/Linear Regression/Linear_Regression_Student_Scores.ipynb b/Predictions/Linear Regression/Linear_Regression_Student_Scores.ipynb
new file mode 100644
index 0000000..512d6b9
--- /dev/null
+++ b/Predictions/Linear Regression/Linear_Regression_Student_Scores.ipynb
@@ -0,0 +1,701 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "aed4bd9d",
+ "metadata": {},
+ "source": [
+ "# Load Libraries (to make life easier)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "fd4e65aa",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3bc646e7",
+ "metadata": {},
+ "source": [
+ "# Load Dataset"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "18cef1d2",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Hours Studied | \n",
+ " Previous Scores | \n",
+ " Extracurricular Activities | \n",
+ " Sleep Hours | \n",
+ " Sample Question Papers Practiced | \n",
+ " Performance Index | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 7 | \n",
+ " 99 | \n",
+ " Yes | \n",
+ " 9 | \n",
+ " 1 | \n",
+ " 91.0 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 4 | \n",
+ " 82 | \n",
+ " No | \n",
+ " 4 | \n",
+ " 2 | \n",
+ " 65.0 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 8 | \n",
+ " 51 | \n",
+ " Yes | \n",
+ " 7 | \n",
+ " 2 | \n",
+ " 45.0 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " 5 | \n",
+ " 52 | \n",
+ " Yes | \n",
+ " 5 | \n",
+ " 2 | \n",
+ " 36.0 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " 7 | \n",
+ " 75 | \n",
+ " No | \n",
+ " 8 | \n",
+ " 5 | \n",
+ " 66.0 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Hours Studied Previous Scores Extracurricular Activities Sleep Hours \\\n",
+ "0 7 99 Yes 9 \n",
+ "1 4 82 No 4 \n",
+ "2 8 51 Yes 7 \n",
+ "3 5 52 Yes 5 \n",
+ "4 7 75 No 8 \n",
+ "\n",
+ " Sample Question Papers Practiced Performance Index \n",
+ "0 1 91.0 \n",
+ "1 2 65.0 \n",
+ "2 2 45.0 \n",
+ "3 2 36.0 \n",
+ "4 5 66.0 "
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Load Data (I put it in github)\n",
+ "df = pd.read_csv('https://raw.githubusercontent.com/youronlydimwit/Data_ScienceUse_Cases/main/Predictions/Data/Student_Performance.csv')\n",
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "3c192ce2",
+ "metadata": {},
+ "source": [
+ "# See Basic Information"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "93050c50",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 10000 entries, 0 to 9999\n",
+ "Data columns (total 6 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 Hours Studied 10000 non-null int64 \n",
+ " 1 Previous Scores 10000 non-null int64 \n",
+ " 2 Extracurricular Activities 10000 non-null object \n",
+ " 3 Sleep Hours 10000 non-null int64 \n",
+ " 4 Sample Question Papers Practiced 10000 non-null int64 \n",
+ " 5 Performance Index 10000 non-null float64\n",
+ "dtypes: float64(1), int64(4), object(1)\n",
+ "memory usage: 468.9+ KB\n"
+ ]
+ }
+ ],
+ "source": [
+ "df.info()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "abd1878e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Hours Studied | \n",
+ " Previous Scores | \n",
+ " Sleep Hours | \n",
+ " Sample Question Papers Practiced | \n",
+ " Performance Index | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | count | \n",
+ " 10000.000000 | \n",
+ " 10000.000000 | \n",
+ " 10000.000000 | \n",
+ " 10000.000000 | \n",
+ " 10000.000000 | \n",
+ "
\n",
+ " \n",
+ " | mean | \n",
+ " 4.992900 | \n",
+ " 69.445700 | \n",
+ " 6.530600 | \n",
+ " 4.583300 | \n",
+ " 55.224800 | \n",
+ "
\n",
+ " \n",
+ " | std | \n",
+ " 2.589309 | \n",
+ " 17.343152 | \n",
+ " 1.695863 | \n",
+ " 2.867348 | \n",
+ " 19.212558 | \n",
+ "
\n",
+ " \n",
+ " | min | \n",
+ " 1.000000 | \n",
+ " 40.000000 | \n",
+ " 4.000000 | \n",
+ " 0.000000 | \n",
+ " 10.000000 | \n",
+ "
\n",
+ " \n",
+ " | 25% | \n",
+ " 3.000000 | \n",
+ " 54.000000 | \n",
+ " 5.000000 | \n",
+ " 2.000000 | \n",
+ " 40.000000 | \n",
+ "
\n",
+ " \n",
+ " | 50% | \n",
+ " 5.000000 | \n",
+ " 69.000000 | \n",
+ " 7.000000 | \n",
+ " 5.000000 | \n",
+ " 55.000000 | \n",
+ "
\n",
+ " \n",
+ " | 75% | \n",
+ " 7.000000 | \n",
+ " 85.000000 | \n",
+ " 8.000000 | \n",
+ " 7.000000 | \n",
+ " 71.000000 | \n",
+ "
\n",
+ " \n",
+ " | max | \n",
+ " 9.000000 | \n",
+ " 99.000000 | \n",
+ " 9.000000 | \n",
+ " 9.000000 | \n",
+ " 100.000000 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Hours Studied Previous Scores Sleep Hours \\\n",
+ "count 10000.000000 10000.000000 10000.000000 \n",
+ "mean 4.992900 69.445700 6.530600 \n",
+ "std 2.589309 17.343152 1.695863 \n",
+ "min 1.000000 40.000000 4.000000 \n",
+ "25% 3.000000 54.000000 5.000000 \n",
+ "50% 5.000000 69.000000 7.000000 \n",
+ "75% 7.000000 85.000000 8.000000 \n",
+ "max 9.000000 99.000000 9.000000 \n",
+ "\n",
+ " Sample Question Papers Practiced Performance Index \n",
+ "count 10000.000000 10000.000000 \n",
+ "mean 4.583300 55.224800 \n",
+ "std 2.867348 19.212558 \n",
+ "min 0.000000 10.000000 \n",
+ "25% 2.000000 40.000000 \n",
+ "50% 5.000000 55.000000 \n",
+ "75% 7.000000 71.000000 \n",
+ "max 9.000000 100.000000 "
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df.describe()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "79667c41",
+ "metadata": {},
+ "source": [
+ "The Column `Extracurricular Activities` is an Object Data type. We need to change it into a numerical through encoding."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "ff70a807",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array(['Yes', 'No'], dtype=object)"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# See the values\n",
+ "df['Extracurricular Activities'].unique()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "0b6fa2d5",
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 10000 entries, 0 to 9999\n",
+ "Data columns (total 6 columns):\n",
+ " # Column Non-Null Count Dtype \n",
+ "--- ------ -------------- ----- \n",
+ " 0 Hours Studied 10000 non-null int64 \n",
+ " 1 Previous Scores 10000 non-null int64 \n",
+ " 2 Extracurricular Activities 10000 non-null int64 \n",
+ " 3 Sleep Hours 10000 non-null int64 \n",
+ " 4 Sample Question Papers Practiced 10000 non-null int64 \n",
+ " 5 Performance Index 10000 non-null float64\n",
+ "dtypes: float64(1), int64(5)\n",
+ "memory usage: 468.9 KB\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Encode the Extracurricular Activities Column\n",
+ "df['Extracurricular Activities'] = df['Extracurricular Activities'].apply(lambda x: 1 if x == 'Yes' else 0)\n",
+ "df['Extracurricular Activities'].astype('int64')\n",
+ "df.info()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b40617da",
+ "metadata": {},
+ "source": [
+ "And now they're all numerical data types."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "f5bda1df",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Attempt to see outliers through boxplots\n",
+ "plt.figure(figsize=(15,5))\n",
+ "sns.boxplot(data=df)\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "08e320dc",
+ "metadata": {},
+ "source": [
+ "Data looks clean with no apparent outliers. Next, let's try to do a visual inspection of Linearity.\n",
+ "To do that, We can plot every column against the target column, `Performance Index`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "68f1e2dd",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Features and target\n",
+ "features = ['Hours Studied', 'Previous Scores', 'Extracurricular Activities', 'Sleep Hours', 'Sample Question Papers Practiced']\n",
+ "\n",
+ "# Create subplots\n",
+ "fig, axs = plt.subplots(5, 1, figsize=(8, 13))\n",
+ "\n",
+ "# Iterate over each feature\n",
+ "for i, feature in enumerate(features):\n",
+ " # Scatter plot\n",
+ " sns.scatterplot(x=df[feature], y=df['Performance Index'], ax=axs[i])\n",
+ " \n",
+ " # Linear regression line\n",
+ " sns.regplot(x=df[feature], y=df['Performance Index'], scatter=False, color='red', ax=axs[i])\n",
+ " \n",
+ " # Add title\n",
+ " axs[i].set_title(f'{feature} vs Performance Index')\n",
+ "\n",
+ "# Adjust layout\n",
+ "plt.tight_layout()\n",
+ "\n",
+ "# Show plot\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "22cf1913",
+ "metadata": {},
+ "source": [
+ "From visual inspection only, we can see from the lines that `Hours Studied` and `Previous Scores` are the two features that visually has the most obvious Linearity Relationship against `Performance Index`. We can expect the two features to be important in determining the predicted value."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "5af45b75",
+ "metadata": {},
+ "source": [
+ "# Running (Multiple) Linear Regression"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "d593d38c",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.linear_model import LinearRegression\n",
+ "from sklearn.model_selection import train_test_split"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "f50c1f5b",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Define features and target\n",
+ "X = df[['Hours Studied', 'Previous Scores', 'Extracurricular Activities', 'Sleep Hours', 'Sample Question Papers Practiced']]\n",
+ "y = df['Performance Index']\n",
+ "\n",
+ "# Split the data\n",
+ "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "787130e3",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Create and fit the model\n",
+ "model = LinearRegression()\n",
+ "model.fit(X_train, y_train)\n",
+ "\n",
+ "# Run model\n",
+ "predictions = model.predict(X_test)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "df940c4c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Feature | \n",
+ " Coefficient | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " Intercept | \n",
+ " -33.921946 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " Hours Studied | \n",
+ " 2.852484 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " Previous Scores | \n",
+ " 1.016988 | \n",
+ "
\n",
+ " \n",
+ " | 3 | \n",
+ " Extracurricular Activities | \n",
+ " 0.608617 | \n",
+ "
\n",
+ " \n",
+ " | 4 | \n",
+ " Sleep Hours | \n",
+ " 0.476941 | \n",
+ "
\n",
+ " \n",
+ " | 5 | \n",
+ " Sample Question Papers Practiced | \n",
+ " 0.191831 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Feature Coefficient\n",
+ "0 Intercept -33.921946\n",
+ "1 Hours Studied 2.852484\n",
+ "2 Previous Scores 1.016988\n",
+ "3 Extracurricular Activities 0.608617\n",
+ "4 Sleep Hours 0.476941\n",
+ "5 Sample Question Papers Practiced 0.191831"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Create a DataFrame for the coefficients\n",
+ "coef_df = pd.DataFrame({\n",
+ " 'Feature': X.columns,\n",
+ " 'Coefficient': model.coef_\n",
+ "})\n",
+ "\n",
+ "# Add the intercept to the DataFrame\n",
+ "intercept_df = pd.DataFrame({\n",
+ " 'Feature': ['Intercept'],\n",
+ " 'Coefficient': [model.intercept_]\n",
+ "})\n",
+ "\n",
+ "# Combine both DataFrames\n",
+ "coef_df = pd.concat([intercept_df, coef_df], ignore_index=True)\n",
+ "coef_df"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "acf88422",
+ "metadata": {},
+ "source": [
+ "Based on the coefficients (which reflect the influence of each feature on the target variable) shown in the table above, our observations align with expectations from previous visualizations. Notably, `Hours Studied` and `Previous Scores` stand out with the highest coefficients among all features."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "4280581e",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Mean Squared Error: 4.082628398521853\n",
+ "R^2 Score: 0.9889832909573145\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Linear Regression Metrics\n",
+ "from sklearn.metrics import mean_squared_error, r2_score\n",
+ "\n",
+ "mse = mean_squared_error(y_test, predictions)\n",
+ "r2 = r2_score(y_test, predictions)\n",
+ "\n",
+ "print(\"Mean Squared Error:\", mse)\n",
+ "print(\"R^2 Score:\", r2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1130bbd2",
+ "metadata": {},
+ "source": [
+ "## From Results Above, The Formula Can be Put Together As Follows:\n",
+ "**Performance Index** = -33.92 + (2.85 x Hours Studied) + (1.01 x Previous Scores) + (0.60 x Extracurricular Activities) + (0.47 x Sleep Hours) + (0.19 x Sample Question Papers Practiced)\n",
+ "\n",
+ "## Metrics Interpretation\n",
+ "- On average, the predicted Performance Index values from the model are about 4.08 units squared away from the actual Performance Index values.\n",
+ "- About 98.9% of the variance in the Performance Index can be explained by the independent variables included in your model. This indicates a very strong fit of the model to the data."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "5c3b27bb",
+ "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": "3.9.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}