Question: Fitting the simple linear regression model to the observations on modulus of elasticity and flexural strength given in Exercise 15 of Section 12.2 resulted in

Fitting the simple linear regression model to the observations on modulus of elasticity and flexural strength given in Exercise 15 of Section 12.2 resulted in when and for . x 5 60 yˆ 5 9.741, s 7.592, sY

ˆ 5 .179 x 5 40 Yˆ 5 .253 yˆ 5 x 5 y 5 n 5 27

a. Explain why is larger when than when .

b. Calculate a confidence interval with a confidence level of 95% for the true average strength of all beams whose modulus of elasticity is 40.

c. Calculate a prediction interval with a prediction level of 95% for the strength of a single beam whose modulus of elasticity is 40.

d. If a 95% CI is calculated for true average strength when modulus of elasticity is 60, what will be the simultaneous confidence level for both this interval and the interval calculated in part (b)?

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