Chapter 5
Principles of
Model
Building
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Section 5.1
Introduction:
Why Model
Building Is
Important
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Section 5.2
The Two Types
of Independent
Variables:
Quantitative
and Qualitative
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Section 5.3
Models with a
Single
Quantitative
Independent
Variable
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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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Section 5.4
First-Order
Models with
Two or More
Quantitative
Independent
Variables
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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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Section 5.5
Second-Order
Models with
Two or More
Quantitative
Independent
Variables
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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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