When X is farther from its mean, the prediction interval and confidence interval for Y become wider.

Question

Quizplus · Accepted Answer

This is true because as the distance between X and its mean increases, the variability in Y also increases, resulting in wider prediction and confidence intervals. This is because the further away a data point is from the mean, the less predictable it becomes, and the more likely it is that it will fall outside of the predicted or confidence interval.

When X Is Farther from Its Mean, the Prediction Interval