If the regression between X and Y is less than perfect,
A)predicted values of Y are relatively further from the mean of Y than observed values of X are to the mean of X .
B)predicted values of Y are relatively closer to the mean of Y than observed values of X are to the mean of X .
C)values of Y cannot be predicted from observations of X .
D)observed values of X are relatively closer to the mean of X than predicted values of Y are to the mean of Y .

Question

Quizplus · Accepted Answer

When the regression between X and Y is less than perfect, the predicted values of Y tend to regress towards the mean of Y, making them relatively closer to the mean of Y than the observed values of X are to the mean of X. This phenomenon is known as regression toward the mean.

If the Regression Between X and Y Is Less Than