# Confidence Interval & Prediction Interval

The data from exercise 1 follow.

xi 1 2 3 4 5

yi 3 7 5 11 14

a. Use equation (14.23) to estimate the standard deviation of yp when x = 4.

(Formula is given in the attachment).

b. Use equation (14.24) to develop a 95% confidence interval estimate of the expected value of y when x = 4.

(Formula is given in the attachment).

c. Use equation (14.26) to estimate the standard deviation of an individual value of y when x = 4.

(Formula is given in the attachment).

d. Use equation (14.27) to develop a 95% prediction interval for y when x = 4.

(Formula is given in the attachment).

The attached discusses confidence intervals.

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#### Solution Summary

The solution provides step by step method for the calculation of confidence interval and prediction interval. Formula for the calculation and Interpretations of the results are also included.