Prediction intervals for Y are narrowest when:
A)the mean of X is near the mean of Y.
B)the value of X is near the mean of X.
C)the mean of X differs greatly from the mean of Y.
D)the mean of X is small. $\bar { x }$ $\bar { x }$

Question

Quizplus · Accepted Answer

Prediction intervals for Y are based on the variability of Y given a certain value of X. When X is closer to its mean, the variability of Y for that value of X is smaller, resulting in a narrower prediction interval. When X is far from its mean, the variability of Y for that value of X is larger, resulting in a wider prediction interval. Therefore, option B is the best choice because it suggests that Y's prediction interval will be narrowest when the value of X is close to the mean of X.

Prediction Intervals for Y Are Narrowest When: A)the Mean of X

Prediction Intervals for Y Are Narrowest When:
A)the Mean of X