Fitting the simple linear regression model to theobservations on modulus of elasticity

Chapter 12, Problem 44

(choose chapter or problem)

Fitting the simple linear regression model to theobservations on modulus of elasticity and flexuralstrength given in Exercise 15 of Section 12.2 resulted inwhen andfor x 5 60.y5 9.741, sY 7.592, s x 5 40 5 .253 Y 5 .179y5x 5 y 5n 5 27 a. Explain why is larger when than when .b. Calculate a confidence interval with a confidence level of95% for the true average strenc. Calculate a prediction interval with a prediction level of95% for the strength of a single beam whose modulus ofelasticity is 40.d. If a 95% CI is calculated for true average strength whenmodulus of elasticity is 60, what will be the simultaneousconfidence level for both this interval and the intervalcalculated in part (b)?gth of all beams whosemodulus of elasticity is 40.