A regression equation was derived from a small sample in which X and Y correlated .6. The equation is Y´ = 6X + 15. Suppose this equation were applied to a second sample. It is likely that the correlation between the scores predicted from this equation and the observed scores will be
A) 0.
B) less than 0.6.
C) approximately 0.6.
D) greater than 0.6.

Question

A regression equation was derived from a small sample in which X and Y correlated .6. The equation is Y´ = 6X + 15. Suppose this equation were applied to a second sample. It is likely that the correlation between the scores predicted from this equation and the observed scores will be
A)	0.
B)	less than 0.6.
C)	approximately 0.6.
D)	greater than 0.6.

Quizplus · Accepted Answer

The correlation in the second sample is likely to be less than 0.6 due to sampling variability and potential overfitting from the small initial sample size.

A Regression Equation Was Derived from a Small Sample in Which