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

xi	2	6	9	13	20
yi	7	18	8	26	21

Develop the 95% confidence and prediction intervals when

x = 7.

(Round your answers to two decimal places.)

confidence intervalto

prediction intervalto

Explain why these two intervals are different.

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 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 there is more variability associated with predicting an individual value than there is with estimating a mean value.