Copyright © 2012 Pearson Education, Inc.. All rights reserved.Chapter 4 Multiple Regression Models... Copyright © 2012 Pearson Education, Inc.. Copyright © 2012 Pearson Education, Inc.
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Chapter 4
Multiple
Regression
Models
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Section 4.2
Model
Assumptions
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Figure 4.1 Graphs of
E(y) = 1+ 2x 1 = x 2 for x 2 = 0,1,2
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Figure 4.2 MINITAB side-by-side
scatterplots for the data of Table 4.1
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Figure 4.3 SAS regression output for
the auction price model, Example 4.1
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Section 4.5
Estimation of
2 , the
Variance of
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Figure 4.4 Rejection region for the
global F-test
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Figure 4.5 MINITAB regression
printout for grandfather clock model
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Figure 4.6 SAS regression output for
the auction price model, Example 4.4
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Figure 4.7 A portion of the SPSS
regression output for the auction price
model
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Figure 4.8 MINITAB printout with 95%
confidence intervals for grandfather clock
model
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x 1 x 2 for x 2 = 0,1,2
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Figure 4.10 Examples of
no-interaction and no-interaction models
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Figure 4.11 MINITAB regression printout
for grandfather clock model with interaction
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Figure 4.12 Graphs for two
quadratic models
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Figure 4.13 SPSS scatterplot for
data of Example 4.7
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Figure 4.14 SPSS output for
quadratic model of Example 4.7
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Figure 4.15 MINITAB graph of least
squares fit for the quadratic model
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Figure 4.16 Potential misuse of
quadratic model
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Figure 4.17 Graph of E(y) = 1 +
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Figure 4.18 SAS multiple
regression output for Example 4.8
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Figure 4.19 MINITAB multiple
regression output for Example 4.9
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Figure 4.20 MINITAB multiple
regression output for Example 4.10
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Section 4.13
A Test for
Comparing
Nested Models
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Figure 4.21 Rejection region for
the F-test Ho: 4 = 5 = 0
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Figure 4.22 SAS output for
complete model, Example 4.11
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Figure 4.23 SAS output for
reduced model, Example 4.11
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Section 4.14
A Complete
Example
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Figure 4.24 SAS output for complete
second-order model for road cost
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Figure 4.25 SAS output for
reduced model for road cost
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Figure 4.26 Plot of the least
squares lines for the reduced model
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Figure 4.27 SAS output showing
prediction intervals for reduced model