Solutions Manual for Applied Linear Statistical Models Fifth Edition by Michael H. Kutner and Christopher J. Nachtsheim and William Li

Student Solutions
Manual
accompany
Applied Linear
Statistical Models
Fifth Edition

,Contents

1 LINEAR REGRESSION WITH ONE PREDICTOR VARIABLE 1-1

2 INFERENCES IN REGRESSION AND CORRELATION ANALYSIS 2-1

3 DIAGNOSTICS AND REMEDIAL MEASURES 3-1

4 SIMULTANEOUS INFERENCES AND OTHER TOPICS IN REGRES-
SION ANALYSIS 4-1

5 MATRIX APPROACH TO SIMPLE LINEAR REGRESSION ANALY- SIS 5-
1

6 MULTIPLE REGRESSION – I 6-1

7 MULTIPLE REGRESSION – II 7-1

8 MODELS FOR QUANTITATIVE AND QUALITATIVE PREDICTORS 8-1

9 BUILDING THE REGRESSION MODEL I: MODEL SELECTION AND
VALIDATION 9-1

10 BUILDING THE REGRESSION MODEL II: DIAGNOSTICS 10-1

11 BUILDING THE REGRESSION MODEL III: REMEDIAL MEASURES11-1

12 AUTOCORRELATION IN TIME SERIES DATA 12-1

13 INTRODUCTION TO NONLINEAR REGRESSION AND NEURAL NET-
WORKS 13-1

14 LOGISTIC REGRESSION, POISSON REGRESSION,AND GENERAL-
IZED LINEAR MODELS 14-1

15 INTRODUCTION TO THE DESIGN OF EXPERIMENTAL AND OB-
SERVATIONAL STUDIES 15-1

16 SINGLE-FACTOR STUDIES 16-1

17 ANALYSIS OF FACTOR LEVEL MEANS 17-1

iii

,18 ANOVA DIAGNOSTICS AND REMEDIAL MEASURES 18-1

19 TWO-FACTOR STUDIES WITH EQUAL SAMPLE SIZES 19-1

20 TWO-FACTOR STUDIES – ONE CASE PER TREATMENT 20-1

21 RANDOMIZED COMPLETE BLOCK DESIGNS 21-1

22 ANALYSIS OF COVARIANCE 22-1

23 TWO-FACTOR STUDIES – UNEQUAL SAMPLE SIZES 23-1

24 MULTIFACTOR STUDIES 24-1

25 RANDOM AND MIXED EFFECTS MODELS 25-1

26 NESTED DESIGNS, SUBSAMPLING, AND PARTIALLY NESTED DE-
SIGNS 26-1

27 REPEATED MEASURES AND RELATED DESIGNS 27-1

28 BALANCED INCOMPLETE BLOCK, LATIN SQUARE, AND RELATED
DESIGNS 28-1

29 EXPLORATORY EXPERIMENTS – TWO-LEVEL FACTORIAL AND
FRACTIONAL FACTORIAL DESIGNS 29-1

30 RESPONSE SURFACE METHODOLOGY 30-1




iv

, Chapter 1

LINEAR REGRESSION WITH ONE
PREDICTOR VARIABLE

1.20. a. Ŷ = −0.5802 + 15.0352X
d. Ŷh = 74.5958
1.21. a. Ŷ = 10.20 + 4.00X
b. Ŷh = 14.2
c. 4.0
d. (X̄ , Ȳ ) = (1, 14.2)

i: 1 2 ... 44 45
1.24. a.
ei : -9.4903 0.4392 . . . 1.4392 2.4039
Σ 2
ei = 3416.377
Min Q = Σ ei2
√
b. MSE = 79.45063, MSE = 8.913508, minutes

1.25. a. e1 = 1.8000
Σ 2
b. e i = 17.6000, MSE = 2.2000, σ2

1.27. a. Ŷ = 156.35 − 1.19X
b. (1) b1 = −1.19, (2) Ŷh = 84.95, (3) e8 = 4.4433,
(4) MSE = 66.8




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