For the same value X (independent variable),the confidence interval for the average value of Y (dependent variable)is __________________ the prediction interval for the individual value of Y.
A)Larger than
B)Smaller than
C)Same as
D)Sometimes larger than sometimes smaller than

Question

Quizplus · Accepted Answer

The confidence interval for the average value of Y is smaller than the prediction interval for an individual value of Y because the prediction interval accounts for both the variability in estimating the mean and the additional variability of individual observations around the mean.

For the Same Value X (Independent Variable),the Confidence Interval for the Average