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import pandas as pd from sklearn.datasets import load_diabetes from sklearn.tree import DecisionTreeRegressor from sklearn.model_selection import train_test_split from sklearn.metrics import mean_squared_error, r2_score import matplotlib.pyplot as plt from sklearn.tree import plot_tree # 1. LOAD AND SPLIT DATA # The Diabetes dataset is used to predict a quantitative measure of disease progression diabetes = load_diabetes() X_train, X_test, y_train, y_test = train_test_split( diabetes.data, diabetes.target, test_size=0.3, random_state=42 ) print(f"Total samples: {len(diabetes.data)}") print(f"Training samples: {len(X_train)}") print("--- Data Loaded and Split Successfully ---") # 2. TRAIN THE DECISION TREE REGRESSOR # We set max_depth=3 for visualization and to prevent initial overfitting. dt_reg = DecisionTreeRegressor( max_depth=3, # Controls complexity (pruning) criterion='squared_error', # The default splitting criteria for regression (MSE) random_state=42 ) # Train the model on the training data dt_reg.fit(X_train, y_train) # 3. MAKE PREDICTIONS AND EVALUATE y_pred = dt_reg.predict(X_test) # Evaluation Metrics: # MSE (Mean Squared Error): Measures the average squared difference between actual and predicted values. Lower is better. mse = mean_squared_error(y_test, y_pred) # R2 Score (Coefficient of Determination): Represents the proportion of the variance # in the dependent variable that is predictable from the independent variables. Closer to 1 is better. r2 = r2_score(y_test, y_pred) print("\n--- Model Performance Evaluation ---") print(f"Decision Tree Depth: {dt_reg.get_depth()}") print(f"Mean Squared Error (MSE): {mse:.2f}") print(f"R2 Score: {r2:.4f}") # 4. VISUALIZE THE TREE (Optional but highly recommended for instruction) plt.figure(figsize=(18, 10)) plot_tree( dt_reg, feature_names=diabetes.feature_names, filled=True, rounded=True, fontsize=10, # The 'value' in the leaf node is the mean target value (the prediction) # The 'mse' is the error (variance) in that node. ) plt.title("Decision Tree Regressor (max_depth=3)") plt.show()

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