The standard error of estimate is equal to zero only if 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 measures the degree of accuracy of the predictions made by a regression equation. It is calculated as the standard deviation of the residuals, which are the differences between the actual Y values and the predicted Y values. If the correlation between X and Y is equal to 1.0, then the predicted Y values will be exactly the same as the actual Y values, and the residuals will be zero. Therefore, the standard error of estimate will also be zero.

The Standard Error of Estimate Is Equal to Zero Only