Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 12 Multiple Linear Regression and Certain Nonlinear Regression Models

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.1 Introduction

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.2 Estimating the Coefficients

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.1 Data for Example 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.2 Data for Example 12.3

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.3 Linear Regression Model Using Matrices

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.3 Data for Example 12.4

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.4 Properties of the Least Squares Estimators

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Theorem 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.5 Inferences in Multiple Linear Regression

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.1 SAS printout for data in Example 12.4

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.6 Choice of a Fitted Model through Hypothesis Testing

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.7 Special Cases of Orthogonality (Optional)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.4 Analysis of Variances for Orthogonal Variables

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.5 Data for Example 12.8

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.6 Analysis of Variance for Grain Radius Data

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.8 Categorical or Indicator Variables

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.2 Case of three categories

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.7 Data for Example 12.9

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.3 SAS printout for Example 12.9

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.4 Nonparallelism on categorical variables

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.9 Sequential Methods for Model Selection

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.8 Data Relating to Infant Length

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 12.9 t-Values for the Regression Data of Table 12.8

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section Study of Residuals and Violation of Assumptions (Model Checking)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Data Set for Case Study 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Residual Information for the Data Set for Case Study 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.5 R-Student values plotted against predicted values for grasshopper data of Case Study 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section Cross Validation, C p, and Other Criteria for Model Selection

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Data Set Case Study 12.2

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Comparing Different Regression Models

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table PRESS Residuals

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Data for Example 12.12

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.6 SAS printout of all possible subsets on sales data for Example 12.12

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.7 Normal probability plot of residuals using the model x 1 x 2 x 3 for Example 12.12

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section Special Nonlinear Models for Nonideal Conditions

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.8 The logistic function

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Data Set for Example 12.13

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Definition 12.1

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 12.9 SAS output for Review Exercise 12.72; part I

Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure SAS output for Review Exercise 12.72; part II

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Potential Misconceptions and Hazards; Relationship to Material in Other Chapters Section 12.13