APFIVE Sum Of Least Squares Residuals
Why is the sum of the residuals in a least squares regression always zero?
A
Because every observed value exactly matches its predicted value.
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 the regression line is forced to pass through the origin.
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