The standard error of estimate is equal to the standard deviation of Y scores when the
A) correlation between X and Y = 0.
B) correlation between X and Y = 1.0.
C) mean on X is equal to the mean on Y.
D) standard deviation of X is equal to the standard deviation of Y.
E) distributions of X and Y are normal.

Question

Quizplus · Accepted Answer

The standard error of estimate is an estimate of the variability of Y scores around the regression line. When the correlation between X and Y is zero, there is no relationship between the two variables, and the regression line is a horizontal line. In this case, the standard deviation of Y scores around the regression line is equal to the standard error of estimate. Hence, the answer is A.

The Standard Error of Estimate Is Equal to the Standard