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)The 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 of the data around the regression line and the variability of individual observations, making it wider.

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