Solutions Manual to Accompany Introduction to Linear Regression Analysis

163 Pages·2013·45.28 MB·English

by  Ann G. Ryan

Solutions Manual to Accompany
Introduction to Linear
Regression Analysis
Fifth Edition

Solutions Manual to Accompany
Introduction to Linear
Regression Analysis
Fifth Edition
Douglas C. Montgomery
Arizona State University
School of Computing, Informatics, and Decisions Systems Engineering
Tempe,AZ .
Elizabeth A. Peck
The Coca-Cola Company (retired)
Atlanta, GA
G. Geoffrey Vining
Virginia Tech
Department of Statistics
Blacksburg, VA
Prepared by
Anne G. Ryan
Virginia Tech
Department of Statistics
Blacksburg, VA
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PREFACE
This book contains the complete solutions to the first eight chapters and the odd
numbered problems for chapters nine through fifteen in Introduction to Linear Regression
Analysis, Fifth Edition. The solutions were obtained using Minitab® , JMp® , and SAS®.
The purpose of the solutions manual is to provide students with a reference to check their
answers and to show the complete solution. Students are advised to try to work out the
problems on their own before appealing to the solutions manual.
Anne G. Ryan
Virginia Tech
Dana C. Krueger
Arizona State University
Scott M. Kowalski
Minitab, Inc.
v

Chapter 2: Simple Linear Regression
2.1 a. fj = 21.8 - .007xs
b.
Source dJ. SS MS
Regression 1 178.09 178.09
Error 26 148.87 5.73
Total 27 326.96
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. fj = 607 - 21.4x4
b.
Source dJ. SS MS
Regression 1 10579 10579
Error 27 4103 152
Total 28 14682
c. A 99% confidence interval for the slope parameter is -21.402 ± 2.771(2.565) =
(-28.51, -14.29).
1
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. fj = 33.7 - .047xl
b.
Source d.f. SS MS
Regression 1 955.34 955.34
Error 30 282.20 9.41
Total 31 1237.54
c. R2 = 77.2%
d. A 95% confidence interval on the mean gasoline mileage if the engine displacement
is 275 in3 is 20.685 ± 2.042{.544) = (19.573, 21.796).
e. A 95% prediction interval on the mean gasoline mileage if the engine displacement
is 275 in3 is 20.685 ± 2.042{3.116) = {14.322, 27.048).
f. Part d. is an interval estimator on the mean response at 275 in3 while part e. is an
interval estimator on a future observation at 275 in3. The prediction interval is wider
than the confidence interval on the mean because it depends on the error from the
fitted model and the future observation.
2.5 a. fj = 40.9 - .00575xlO
b.
Source d.f. SS MS
Regression 1 921.53 921.53
Error 30 316.02 10.53
Total 31 1237.54
2