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

Confidence Interval Estimate

A range of values, derived from sample data, that is likely to contain the value of an unknown population parameter, with a specified level of confidence.

Prediction Interval

A type of interval estimate of a predicted value of a variable based on a particular set of data, encompassing the uncertainty of the prediction.

Expected Value

The long-run average value of repetitions of the experiment it represents, in probability and statistics.