When the correlation between X and Y equals zero, the standard error of estimate
A) equals 0
B) equals the mean of Y
C) equals the standard deviation of Y
D) equals 1.00

Question

Quizplus · Accepted Answer

The standard error of estimate, also known as the standard deviation of the residuals, is a measure of the variability of the errors in predicting Y values from X values. When the correlation between X and Y equals zero, it means that X and Y are not associated with each other, and therefore the variability of the errors is determined solely by the variability of Y. This is reflected in the fact that the standard error of estimate equals the standard deviation of Y, as that is the only source of variability in the predictions.

When the Correlation Between X and Y Equals Zero, the Standard