When the standard deviation of the Y distribution equals zero, then
A) the slope of the regression line of Y on X equals zero
B) the mean of X equals zero
C) the mean of Y equals zero
D) none of these

Question

Quizplus · Accepted Answer

If the standard deviation of the Y distribution equals zero, it means that all Y values are the same. This results in a flat line for the regression line of Y on X, meaning the slope equals zero. Therefore, choice letter A is the correct answer. The mean of X and Y are not affected by the standard deviation of Y, so choices letter B and C are not correct.

When the Standard Deviation of the Y Distribution Equals Zero