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

Question

Quizplus · Accepted Answer

The width of the prediction interval depends on all three factors: the sample size, the standard error of the estimate, and the value of X for which the prediction is being made. A larger sample size will generally lead to a narrower prediction interval, while a larger standard error will lead to a wider interval. Additionally, the prediction interval will vary depending on the specific value of X being considered, as the relationship between X and Y may differ at different points in the range of X values. Therefore, all three factors are important in determining the width of the prediction interval.

The Width of the Prediction Interval for the Predicted Value