How can I evaluate a linear regression model using NumPy?
You can evaluate a linear regression model by calculating metrics like Mean Squared Error (MSE) and R-squared. Would you like to see an example?
Yes, please provide an example of calculating MSE.
Sure! After fitting your model, you can calculate MSE using:
import numpy as np
# Assuming y_true are the actual values and y_pred are the predicted values
mse = np.mean((y_true - y_pred) ** 2)
print('Mean Squared Error:', mse)
What about R-squared? How do I calculate that?
R-squared can be calculated using the formula:
ss_total = np.sum((y_true - np.mean(y_true)) ** 2)
ss_residual = np.sum((y_true - y_pred) ** 2)
rsq = 1 - (ss_residual / ss_total)
print('R-squared:', rsq)
Thanks! Are there any other evaluation metrics I should consider?
Yes, you might also consider metrics like Mean Absolute Error (MAE) and Adjusted R-squared for a more comprehensive evaluation.
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