Copyright © 2012 Pearson Education, Inc.. Copyright © 2012 Pearson Education, Inc.. Copyright © 2012 Pearson Education, Inc.. 5- 15 Figure 5.6 MINITAB output for third-order model of po
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Chapter 5
Principles of
Model
Building
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Figure 5.1 Modeling exam score,
y, as a function of study time, x
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Figure 5.2 Graphs for two
second-order polynomial models
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Figure 5.3 Example of the use of a
quadratic model
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Figure 5.4 Graphs of two
third-order polynomial models
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Figure 5.5 MINITAB scatterplot for
power load data
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Figure 5.6 MINITAB output for
third-order model of power load
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Figure 5.7 MINITAB output for
second-order model of power load
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Figure 5.8 Response surface for
first-order model with two quantitative
independent variables
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Figure 5.9 Contour lines of E(y) for
x2 = 1,2,3 (first-order model)
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Figure 5.10 Response surface for
an interaction model (second-order)
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Figure 5.11 Contour lines of E(y) for x2 =
1,2,3 (first-order model plus interaction)
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Figure 5.12 Graphs of three
second-order surfaces
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Figure 5.13 Contours of E(y) for x2 =
-1,0,1 (complete second-order model)
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Figure 5.14 SAS output for complete
second-order model of quality
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Figure 5.15 Graph of second-order
least squares model for Example 5.3
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Figure 5.16 MINITAB printout for
the quadratic model, Example 5.4
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Figure 5.17 MINITAB descriptive
statistics for temperature, x
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Figure 5.18 MINITAB printout for the
quadratic model with coded temperature
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Figure 5.19 SPSS printout for dummy
variable model, Example 5.5
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Figure 5.20 Main effects model: Mean
response as a function of F and B when F
and B affect E(y) independently
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Figure 5.21 Interaction model: Mean
response as a function of F and B when F
and B interact to affect E(y)
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Figure 5.22 SAS printout for main
effects model, Example 5.10
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Figure 5.23 SAS printout for
interaction model, Example 5.10
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Figure 5.24 MINITAB graph of sample
means for engine performance
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Figure 5.25 SAS printout for
nested model F-test of interaction
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Section 5.10
Models with
Both
Quantitative and Qualitative
Independent
Variables
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Figure 5.26 Model for E(y) as a
function of engine speed
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Figure 5.27 Model for E(y) as a function of
fuel type and engine speed (no interaction)
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Figure 5.28 Graph of E(y) as a function of
fuel type and engine speed (interaction)
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Figure 5.29 A graphical portrayal of three
factors - two qualitative and one
quantitative - on DDT level
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Figure 5.30 DDT curves for stages
1 and 2
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Figure 5.31 MINITAB printout for the
multiplicative model of executive salary