Solutions Manual to Accompany Introduction to Linear Regression Analysis, 5th Edition

Chapter 2

Simple Linear Regression

2.1 a. = 21.8 − .007x₈

b.

c. A 95% confidence interval for the slope parameter is −0.007025 ± 2.056(0.00126) = (−0.0096, −0.0044).

d. R² = 54.5%

e. A 95% confidence interval on the mean number of games won if opponents’ yards rushing is limited to 2000 yards is 7.738 ± 2.056(.473) = (6.766, 8.711).

2.2 The fitted value is 9.14 and a 90% prediction interval on the number of games won if opponents’ yards rushing is limited to 1800 yards is (4.935, 13.351).

2.3 a. = 607 − 21.4x₄

b.

c. A 99% confidence interval for the slope parameter is −21.402 ± 2.771(2.565) = (−28.51, −14.29).

d. R² = 72.1%

e. A 95% confidence interval on the mean heat flux when the radial deflection is 16.5 milliradians is 253.96 ± 2.145(2.35) = (249.15, 258.78).

2.4 a. = 33.7 − .047x₁

b.

c. R² = 77.2%

d. A 95% confidence interval on the mean gasoline mileage if the engine displacement ...