STUDENTS
SOLUTION
MANUAL
To
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. Yˆ = −0.5802 + 15.0352X
D. Yˆh = 74.5958
1.21. A. Yˆ = 10.20 + 4.00X
b. Yˆh = 14.2
c. 4.0
d. ( X̄ , Y¯ ) = (1, 14.2)
I: 1 2 ... 44 45
1.24. A.
Ei: -9.4903 0.4392 . . . 1.4392 2.4039
Σ 2
E = 3416.377
i
Min Q = Σ E2
I
√
B. MSE = 79.45063, MSE = 8.913508, Minutes
1.25. A. E1 = 1.8000
Σ 2
B. E = 17.6000, MSE = 2.2000, Σ2
I
1.27. A. Yˆ = 156.35 − 1.19X
B. (1) B1 = −1.19, (2) Yˆ h = 84.95, (3) E8 = 4.4433,
(4) MSE = 66.8
1-1
SOLUTION
MANUAL
To
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. Yˆ = −0.5802 + 15.0352X
D. Yˆh = 74.5958
1.21. A. Yˆ = 10.20 + 4.00X
b. Yˆh = 14.2
c. 4.0
d. ( X̄ , Y¯ ) = (1, 14.2)
I: 1 2 ... 44 45
1.24. A.
Ei: -9.4903 0.4392 . . . 1.4392 2.4039
Σ 2
E = 3416.377
i
Min Q = Σ E2
I
√
B. MSE = 79.45063, MSE = 8.913508, Minutes
1.25. A. E1 = 1.8000
Σ 2
B. E = 17.6000, MSE = 2.2000, Σ2
I
1.27. A. Yˆ = 156.35 − 1.19X
B. (1) B1 = −1.19, (2) Yˆ h = 84.95, (3) E8 = 4.4433,
(4) MSE = 66.8
1-1