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

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

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

4. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 4 Table 12.1 Data for Example 12.1

5. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 5 Table 12.2 Data for Example 12.3

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

7. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 7 Table 12.3 Data for Example 12.4

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

9. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 9 Theorem 12.1

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

11. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 11 Figure 12.1 SAS printout for data in Example 12.4

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

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

14. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 14 Table 12.4 Analysis of Variances for Orthogonal Variables

15. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 15 Table 12.5 Data for Example 12.8

16. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 16 Table 12.6 Analysis of Variance for Grain Radius Data

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

18. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 18 Figure 12.2 Case of three categories

19. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 19 Table 12.7 Data for Example 12.9

20. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 20 Figure 12.3 SAS printout for Example 12.9

21. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 21 Figure 12.4 Nonparallelism on categorical variables

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

23. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 23 Table 12.8 Data Relating to Infant Length

24. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 24 Table 12.9 t-Values for the Regression Data of Table 12.8

25. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.10 Study of Residuals and Violation of Assumptions (Model Checking)

26. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 26 Table 12.10 Data Set for Case Study 12.1

27. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 27 Table 12.11 Residual Information for the Data Set for Case Study 12.1

28. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 28 Figure 12.5 R-Student values plotted against predicted values for grasshopper data of Case Study 12.1

29. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.11 Cross Validation, C p, and Other Criteria for Model Selection

30. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 30 Table 12.12 Data Set Case Study 12.2

31. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 31 Table 12.13 Comparing Different Regression Models

32. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 32 Table 12.14 PRESS Residuals

33. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 33 Table 12.15 Data for Example 12.12

34. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 34 Figure 12.6 SAS printout of all possible subsets on sales data for Example 12.12

35. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 35 Figure 12.7 Normal probability plot of residuals using the model x 1 x 2 x 3 for Example 12.12

36. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 12.12 Special Nonlinear Models for Nonideal Conditions

37. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 37 Figure 12.8 The logistic function

38. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 38 Table 12.16 Data Set for Example 12.13

39. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 39 Definition 12.1

40. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 40 Figure 12.9 SAS output for Review Exercise 12.72; part I

41. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 12 - 41 Figure 12.10 SAS output for Review Exercise 12.72; part II

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