The confidence interval estimate of the expected value of y will be narrower than the prediction interval for the same given value of x and confidence level. This is because there is less error in estimating a mean value than in predicting an individual value.

Question

Quizplus · Accepted Answer

The confidence interval estimate of the expected value of y is based on the sample mean and has less variability than the prediction interval, which includes the variability due to error of the individual observations. Therefore, the confidence interval will be narrower than the prediction interval for the same value of x and level of confidence.

The Confidence Interval Estimate of the Expected Value of Y