The width of the prediction interval for the predicted value of Y is dependent on
A)the standard error of the estimate.
B)the value of X for which the prediction is being made.
C)the sample size.
D)All of the above.

Question

Quizplus · Accepted Answer

The width of the prediction interval for the predicted value of Y will decrease as the standard error of the estimate decreases and as the sample size increases. It will also depend on the value of X for which the prediction is being made, as predictions made further away from the mean of X will have wider prediction intervals. Therefore, all of the factors mentioned in choices A, B, and C affect the width of the prediction interval.

The Width of the Prediction Interval for the Predicted Value