Chapter 12 Multiple Linear Regression and Certain Nonlinear Regression Models

Section 12.1 Introduction

Section 12.2 Estimating the Coefficients

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

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

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

Section 12.5 Inferences in Multiple Linear Regression

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

Section 12.7 Special Cases of Orthogonality (Optional)

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

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

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 12.10 Study of Residuals and Violation of Assumptions (Model Checking)

Table 12.10 Data Set for Case Study 12.1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 12.11 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 12.11 Cross Validation, Cp, and Other Criteria for Model Selection

Table 12.12 Data Set Case Study 12.2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 12.13 Comparing Different Regression Models Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 12.14 PRESS Residuals Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 12.15 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 x1x2x3 for Example 12.12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 12.12 Special Nonlinear Models for Nonideal Conditions

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

Table 12.16 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 12.10 SAS output for Review Exercise 12.72; part II Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Section 12.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters