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.

Question

Quizplus · Accepted Answer

The confidence interval estimate of the expected value of y focuses on the mean response for a given x and is generally narrower because it does not account for the variability of individual observations around the regression line. In contrast, the prediction interval accounts for this variability, making it wider as it predicts the range for an individual observation.

Given a Specific Value of X and Confidence Level, Which