Which of the following is true?
A) The confidence interval for the predicted mean value of y is always narrower than the prediction interval for an individual y when both are calculated for a given value of x.
B) The prediction interval for an individual y is always narrower than the confidence interval for the predicted mean value of y, when both are calculated for a given value of x.
C) The confidence interval of the slope is the same as the confidence interval for the predicted y.
D) The confidence interval for the predicted mean value of y is the same as the prediction interval for an individual y when both are calculated for a given value of x.
E) The width of the confidence interval for the predicted mean value of y is greater than that of the prediction interval for an individual y when both are calculated for a given value of x.

Question

Quizplus · Accepted Answer

The confidence interval for the predicted mean value of y is narrower than the prediction interval for an individual y value because the prediction interval also accounts for the variability (error) around individual predictions, making it wider.

Which of the Following Is True