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AP Statistics/Unit 2: Exploring Two-Variable Data
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Sum Of Least Squares Residuals

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In a least-squares regression model, why is the sum of the residuals always equal to zero?

A

Because the regression line is forced to pass through the origin.

B

Because the regression line is chosen to minimize the sum of the squared residuals, ensuring that positive and negative errors cancel out.

C

Because the residuals are all non-negative.

D

Because every observed value exactly matches its predicted value.

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