For the same value of x (independent variable),the width of the confidence interval for the average value of y (dependent variable)is ______________ the width of the prediction interval for the individual value of y.
A)greater than
B)less than
C)equal to
D)Cannot be determined without sample data.

Question

Quizplus · Accepted Answer

The width of the confidence interval for the average value of y is less than the width of the prediction interval for an individual value of y. This is because the prediction interval accounts for the uncertainty in predicting a single value, which includes both the error in estimating the mean of y and the additional variability of individual y values around that mean.

For the Same Value of X (Independent Variable),the Width of the Confidence