Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 5 Principles of Model Building

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.1 Introduction: Why Model Building Is Important

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.2 The Two Types of Independent Variables: Quantitative and Qualitative

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.3 Models with a Single Quantitative Independent Variable

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.1 Modeling exam score, y, as a function of study time, x

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Copyright © 2012 Pearson Education, Inc. All rights reserved. 5- 7

Copyright © 2012 Pearson Education, Inc. All rights reserved. 5- 8

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.2 Graphs for two second-order polynomial models

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.3 Example of the use of a quadratic model

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.4 Graphs of two third-order polynomial models

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.5 MINITAB scatterplot for power load data

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.6 MINITAB output for third-order model of power load

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.7 MINITAB output for second-order model of power load

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.4 First-Order Models with Two or More Quantitative Independent Variables

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.8 Response surface for first-order model with two quantitative independent variables

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.9 Contour lines of E(y) for x 2 = 1,2,3 (first-order model)

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.5 Second-Order Models with Two or More Quantitative Independent Variables

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.10 Response surface for an interaction model (second-order)

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.11 Contour lines of E(y) for x 2 = 1,2,3 (first-order model plus interaction)

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.12 Graphs of three second-order surfaces

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.13 Contours of E(y) for x 2 = -1,0,1 (complete second-order model)

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.14 SAS output for complete second-order model of quality

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.15 Graph of second-order least squares model for Example 5.3

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.6 Coding Quantitative Independent Variables (Optional)

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.16 MINITAB printout for the quadratic model, Example 5.4

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.17 MINITAB descriptive statistics for temperature, x

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.18 MINITAB printout for the quadratic model with coded temperature

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.7 Models with One Qualitative Independent Variable

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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.19 SPSS printout for dummy variable model, Example 5.5

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.8 Models with Two Qualitative Independent Variables

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Copyright © 2012 Pearson Education, Inc. All rights reserved 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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Copyright © 2012 Pearson Education, Inc. All rights reserved 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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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.22 SAS printout for main effects model, Example 5.10

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.23 SAS printout for interaction model, Example 5.10

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.24 MINITAB graph of sample means for engine performance

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.25 SAS printout for nested model F-test of interaction

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.9 Models with Three or More Qualitative Independent Variables

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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.10 Models with Both Quantitative and Qualitative Independent Variables

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.26 Model for E(y) as a function of engine speed

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.27 Model for E(y) as a function of fuel type and engine speed (no interaction)

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.28 Graph of E(y) as a function of fuel type and engine speed (interaction)

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.29 A graphical portrayal of three factors - two qualitative and one quantitative - on DDT level

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.30 DDT curves for stages 1 and 2

Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 5.11 External Model Validation (Optional)

Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 5.31 MINITAB printout for the multiplicative model of executive salary