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Linear Regression in Python

Topic: Regression

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Linear Regression Implementation

Linear regression in scikit-learn is simple: from sklearn.linear_model import LinearRegression; model = LinearRegression(); model.fit(X, y).

The model learns coefficients (model.coef_) and intercept (model.intercept_). Predictions: model.predict(X_new).

Multiple Linear Regression

Multiple regression works the same way with multiple features. X should have shape (n_samples, n_features). Coefficients show each feature's contribution.

Regularization

Ridge regression adds L2 penalty: Ridge(alpha=1.0). Lasso adds L1 penalty: Lasso(alpha=1.0). ElasticNet combines both.

Regularization strength (alpha) is tuned via cross-validation. Higher alpha means more shrinkage.

Key Takeaways

  1. Linear regression is simple to implement in scikit-learn
  2. Multiple features work seamlessly
  3. Regularization prevents overfitting in high dimensions

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