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Which statement is CORRECT? The correlation r is the slope of the least-squares

ID: 3292472 • Letter: W

Question

Which statement is CORRECT?

The correlation r is the slope of the least-squares regression line.

The square of the correlation is the slope of the least-squares regression line.

The square of the correlation is the proportion of the data lying on the least-squares regression line.

The mean of the residuals from least-squares regression is 0.

A.

The correlation r is the slope of the least-squares regression line.

B.

The square of the correlation is the slope of the least-squares regression line.

C.

The square of the correlation is the proportion of the data lying on the least-squares regression line.

D.

The mean of the residuals from least-squares regression is 0.

Explanation / Answer

correct option is D.

Residuals are the vertical distances between the data points and the corresponding predicted values. For a least squares regression, the residuals always havemean zero