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Answers for “为什么拟合直线经过均值点?”

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By setting the partial derivative of the least-squares objective with respect to the intercept to zero, we obtain the relationship: intercept = mean(y) − slope · mean(x). This implies that the fitted line always passes through the point of sample means.

Conditions: The model includes an intercept term.; The derivative is taken with respect to the intercept parameter.