Given a specific value of x and confidence level, which of the following statements is correct?
A) The confidence interval estimate of the expected value of y can be calculated but the prediction interval of y for the given value of x cannot be calculated.
B) The confidence interval estimate of the expected value of y will be wider than the prediction interval.
C) The prediction interval of y for the given value of x can be calculated but the confidence interval estimate of the expected value of y cannot be calculated.
D) The confidence interval estimate of the expected value of y will be narrower than the prediction interval.
E) None of these.

Question

Quizplus · Accepted Answer

The confidence interval estimate of the expected value of y is narrower than the prediction interval because the prediction interval also accounts for the variability in individual y values around the regression line, in addition to the uncertainty of estimating the mean of y.

Given a Specific Value of X and Confidence Level, Which