A regression equation was derived from a small sample in which X and Y are correlated .6. The equation is Y ´ = .6 X + 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

Quizplus · Accepted Answer

The correlation between the predicted scores and the observed scores in a new sample is likely to be less than 0.6 because the regression equation was derived from a small sample, and its predictive accuracy may decrease when applied to a different sample due to overfitting or sample-specific characteristics.

A Regression Equation Was Derived from a Small Sample in Which