The sum of the residuals when using a least-squares regression line is.
A)normally distributed around the mean of Y
B)normally distributed around the mean of X
C)equal to zero
D)equal to the variance of the Y variable

Question

Quizplus · Accepted Answer

The sum of the residuals is always equal to zero by definition of the least-squares regression line. Any deviation from the line that is positive (above the line) is balanced by a corresponding deviation that is negative (below the line). Therefore, the sum of the residuals must always equal zero.

The Sum of the Residuals When Using a Least-Squares Regression