Given are five observations collected in a regression study on two variables.

xi	2	6	9	13	20
yi	9	18	8	25	21

Develop the 95% confidence and prediction intervals when

x = 8.(Round your answers to two decimal places.)

confidence interval=

prediction interval=

Explain why these two intervals are different.

The two intervals are different because there is less variability associated with predicting an individual value than there is with estimating a mean value.

The two intervals are different because you use a different critical value when developing a confidence interval than when developing a prediction interval.

The two intervals are different because confidence intervals are used to predict values of y for new observations corresponding to given values of x, and prediction intervals give an estimate of the mean value of y for a given value of x.

The two intervals are different because there is more variability associated with predicting an individual value than there is with estimating a mean value.