The width of the prediction interval for the predicted value of Y is dependent on
A) the standard error of the estimate.
B) the sample size.
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 is dependent on the standard error of the estimate, which reflects the variability of the data points around the regression line. It is also dependent on the sample size, as larger sample sizes provide more precise estimates. Additionally, the value of X for which the prediction is being made affects the width of the interval, as predictions become less certain as X moves further away from the mean of the predictor variable. Therefore, all of the above factors contribute to the width of the prediction interval.

The Width of the Prediction Interval for the Predicted Value