{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["# Example 1"],"metadata":{"id":"Qetm5tuBTkWY"}},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":524},"id":"ZhlM2VibvPVp","executionInfo":{"status":"ok","timestamp":1699729114177,"user_tz":-180,"elapsed":2133,"user":{"displayName":"Mohammad Arafah","userId":"16212893617523178541"}},"outputId":"724cbbf8-054b-45cd-eeb6-e507935e0de7"},"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Equation of the regression line: y = 2.77 * X + 4.22\n","R-squared: 0.7693\n","Mean Squared Error: 0.8066\n"]}],"source":["# Example 2: Simple Linear Regression with Random Data and Equation\n","\n","import numpy as np\n","import matplotlib.pyplot as plt\n","from sklearn.linear_model import LinearRegression\n","from sklearn.metrics import r2_score, mean_squared_error\n","\n","# Generate random data\n","np.random.seed(42)\n","X = 2 * np.random.rand(100, 1)\n","y = 4 + 3 * X + np.random.randn(100, 1)\n","\n","# Fit the linear regression model\n","model = LinearRegression()\n","model.fit(X, y)\n","\n","# Get the coefficients (slope and intercept)\n","slope = model.coef_[0][0]\n","intercept = model.intercept_[0]\n","\n","# Predictions\n","X_new = np.array([[0], [2]])\n","y_pred = model.predict(X_new)\n","\n","# Visualize the regression line\n","plt.scatter(X, y)\n","plt.plot(X_new, y_pred, 'r-', label='Regression Line')\n","plt.xlabel('X')\n","plt.ylabel('y')\n","plt.title('Simple Linear Regression with Random Data')\n","plt.legend()\n","plt.show()\n","\n","# Print the coefficients and equation\n","equation = f'y = {slope:.2f} * X + {intercept:.2f}'\n","print(f'Equation of the regression line: {equation}')\n","\n","# Performance metrics\n","y_pred_all = model.predict(X)\n","r2 = r2_score(y, y_pred_all)\n","mse = mean_squared_error(y, y_pred_all)\n","\n","print(f'R-squared: {r2:.4f}')\n","print(f'Mean Squared Error: {mse:.4f}')\n"]},{"cell_type":"markdown","source":["# Example 2"],"metadata":{"id":"KQVxMeAjTvwg"}},{"cell_type":"code","source":["# Example 3: Simple Linear Regression with Real Data (California Housing Dataset) - Google Colab\n","\n","import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","from sklearn.datasets import fetch_california_housing\n","from sklearn.linear_model import LinearRegression\n","from sklearn.model_selection import train_test_split\n","from sklearn.metrics import r2_score, mean_squared_error\n","\n","# Load the California Housing dataset\n","california_housing = fetch_california_housing()\n","df = pd.DataFrame(california_housing.data, columns=california_housing.feature_names)\n","X = df['MedInc'].values.reshape(-1, 1)  # Using median income as a predictor\n","y = california_housing.target\n","\n","# Split the data into training and testing sets\n","X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n","\n","# Fit the linear regression model on training data\n","model = LinearRegression()\n","model.fit(X_train, y_train)\n","\n","# Make predictions on test data\n","y_pred = model.predict(X_test)\n","\n","# Visualize the results\n","plt.scatter(X_test, y_test, label='Actual Data')\n","plt.plot(X_test, y_pred, 'r-', label='Regression Line')\n","plt.xlabel('Median Income')\n","plt.ylabel('Median House Value')\n","plt.title('Simple Linear Regression with Real Data (California Housing Dataset)')\n","plt.legend()\n","plt.show()\n","\n","# Get the coefficients (slope and intercept)\n","slope = model.coef_[0]\n","intercept = model.intercept_\n","\n","# Print the coefficients and equation\n","equation = f'y = {slope:.2f} * X + {intercept:.2f}'\n","print(f'Equation of the regression line: {equation}')\n","\n","# Performance metrics\n","r_squared = r2_score(y_test, y_pred)\n","mse = mean_squared_error(y_test, y_pred)\n","\n","print(f'R-squared: {r_squared:.4f}')\n","print(f'Mean Squared Error: {mse:.4f}')\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":524},"id":"M8_gnv0svURV","executionInfo":{"status":"ok","timestamp":1699939203149,"user_tz":-180,"elapsed":1477,"user":{"displayName":"Mohammad Arafah","userId":"16212893617523178541"}},"outputId":"385fa68e-3f69-466c-d570-96e6e6862290"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Equation of the regression line: y = 0.42 * X + 0.44\n","R-squared: 0.4589\n","Mean Squared Error: 0.7091\n"]}]},{"cell_type":"markdown","source":["# Example 3"],"metadata":{"id":"9EtrAr73T3hp"}},{"cell_type":"code","source":["# Example 4: Simple Linear Regression with External Dataset\n","\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","from sklearn.linear_model import LinearRegression\n","from sklearn.model_selection import train_test_split\n","\n","# Load an external dataset (e.g., using pandas)\n","url = \"https://raw.githubusercontent.com/datasets/gdp/master/data/gdp.csv\"\n","df = pd.read_csv(url)\n","\n","# Select relevant columns\n","X = df['Year'].values.reshape(-1, 1)\n","y = df['Value'].values\n","\n","# Split the data into training and testing sets\n","X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n","\n","# Fit the linear regression model on training data\n","model = LinearRegression()\n","model.fit(X_train, y_train)\n","\n","# Make predictions on test data\n","y_pred = model.predict(X_test)\n","\n","# Visualize the results\n","plt.scatter(X_test, y_test, label='Actual GDP')\n","plt.plot(X_test, y_pred, 'r-', label='Regression Line')\n","plt.xlabel('Year')\n","plt.ylabel('GDP Value')\n","plt.title('Simple Linear Regression with External Dataset')\n","plt.legend()\n","plt.show()\n","\n","# Evaluate the model (e.g., calculate R-squared)\n","r_squared = model.score(X_test, y_test)\n","print(f'R-squared: {r_squared}')\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":489},"id":"xysItIWfvhyd","executionInfo":{"status":"ok","timestamp":1699940207322,"user_tz":-180,"elapsed":1086,"user":{"displayName":"Mohammad Arafah","userId":"16212893617523178541"}},"outputId":"3eee55ab-49f1-4aaa-807b-6342076b1e12"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["R-squared: 0.02918357252927528\n"]}]},{"cell_type":"code","source":["# Example: Predicting Exam Scores based on Study Hours\n","\n","import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","from sklearn.linear_model import LinearRegression\n","from sklearn.model_selection import train_test_split\n","from sklearn.metrics import r2_score, mean_squared_error\n","\n","# Generate synthetic data\n","np.random.seed(42)\n","study_hours = np.random.uniform(1, 10, 100)  # Random study hours between 1 and 10\n","exam_scores = 50 + 5 * study_hours + np.random.normal(0, 2, 100)  # Exam scores with some noise\n","\n","# Create a DataFrame\n","df = pd.DataFrame({'StudyHours': study_hours, 'ExamScores': exam_scores})\n","\n","# Visualize the data\n","plt.scatter(df['StudyHours'], df['ExamScores'])\n","plt.xlabel('Study Hours')\n","plt.ylabel('Exam Scores')\n","plt.title('Synthetic Data: Study Hours vs. Exam Scores')\n","plt.show()\n","\n","# Split the data into training and testing sets\n","X = df['StudyHours'].values.reshape(-1, 1)\n","y = df['ExamScores'].values\n","X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n","\n","# Fit the linear regression model\n","model = LinearRegression()\n","model.fit(X_train, y_train)\n","\n","# Make predictions on test data\n","y_pred = model.predict(X_test)\n","\n","# Visualize the regression line\n","plt.scatter(X_test, y_test, label='Actual Data')\n","plt.plot(X_test, y_pred, 'r-', label='Regression Line')\n","plt.xlabel('Study Hours')\n","plt.ylabel('Exam Scores')\n","plt.title('Linear Regression: Study Hours vs. Exam Scores')\n","plt.legend()\n","plt.show()\n","\n","# Print the coefficients and equation\n","slope = model.coef_[0]\n","intercept = model.intercept_\n","equation = f'Exam Scores = {intercept:.2f} + {slope:.2f} * Study Hours'\n","print(f'Equation of the regression line: {equation}')\n","\n","# Performance metrics\n","r_squared = r2_score(y_test, y_pred)\n","mse = mean_squared_error(y_test, y_pred)\n","\n","print(f'R-squared: {r_squared:.4f}')\n","print(f'Mean Squared Error: {mse:.4f}')\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":979},"id":"TnAo0vUNyh_g","executionInfo":{"status":"ok","timestamp":1699940397680,"user_tz":-180,"elapsed":1184,"user":{"displayName":"Mohammad Arafah","userId":"16212893617523178541"}},"outputId":"868f6f67-8062-4d70-b73b-73f79db54725"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Equation of the regression line: Exam Scores = 50.38 + 4.91 * Study Hours\n","R-squared: 0.9863\n","Mean Squared Error: 2.6148\n"]}]},{"cell_type":"code","source":[],"metadata":{"id":"dMGjZvLM3FTq"},"execution_count":null,"outputs":[]}]}