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# 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 ...

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