Compared to the confidence interval estimate for a particular value of y (in a linear regression model), the interval estimate for an average value of y will be _____.
A) narrower
B) wider
C) the same
D) Not enough information is given.

Question

Quizplus · Accepted Answer

The interval estimate for an average value of y in a linear regression model is narrower than the interval estimate for a particular value of y. This is because the variability around the regression line is less for the mean of a group of values than for individual values, leading to a more precise (narrower) estimate for the average y.

Compared to the Confidence Interval Estimate for a Particular Value