Chapter Multiple Regression Models Copyright © 2012 Pearson Education, Inc All rights reserved Section 4.1 General Form of a Multiple Regression Model Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 4- Section 4.2 Model Assumptions Copyright © 2012 Pearson Education, Inc All rights reserved Section 4.3 A First-Order Model with Quantitative Predictors Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 4- Copyright © 2012 Pearson Education, Inc 4- Figure 4.1 Graphs of E(y) = 1+ 2x1 = x2 for x2 = 0,1,2 Copyright © 2012 Pearson Education, Inc 4- Section 4.4 Fitting the Model: The Method of Least Squares Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 4- 10 Figure 4.19 MINITAB multiple regression output for Example 4.9 Copyright © 2012 Pearson Education, Inc 4- 51 Copyright © 2012 Pearson Education, Inc 4- 52 Figure 4.20 MINITAB multiple regression output for Example 4.10 Copyright © 2012 Pearson Education, Inc 4- 53 Copyright © 2012 Pearson Education, Inc 4- 54 Copyright © 2012 Pearson Education, Inc 4- 55 Section 4.13 A Test for Comparing Nested Models Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 4- 57 Figure 4.21 Rejection region for the F-test Ho: β4 = β5 = Copyright © 2012 Pearson Education, Inc 4- 58 Figure 4.22 SAS output for complete model, Example 4.11 Copyright © 2012 Pearson Education, Inc 4- 59 Figure 4.23 SAS output for reduced model, Example 4.11 Copyright © 2012 Pearson Education, Inc 4- 60 Section 4.14 A Complete Example Copyright © 2012 Pearson Education, Inc All rights reserved Figure 4.24 SAS output for complete second-order model for road cost Copyright © 2012 Pearson Education, Inc 4- 62 Figure 4.25 SAS output for reduced model for road cost Copyright © 2012 Pearson Education, Inc 4- 63 Figure 4.26 Plot of the least squares lines for the reduced model Copyright © 2012 Pearson Education, Inc 4- 64 Figure 4.27 SAS output showing prediction intervals for reduced model Copyright © 2012 Pearson Education, Inc 4- 65 ... Figure 4.10 Examples of nointeraction and interaction models Copyright © 2012 Pearson Education, Inc 4- 30 Figure 4.11 MINITAB regression printout for grandfather clock model with interaction Copyright... MINITAB regression printout for grandfather clock model Copyright © 2012 Pearson Education, Inc 4- 18 Section 4.7 Inferences About the Individual β Parameters Copyright © 2012 Pearson Education, Inc... of Least Squares Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 4- 10 Figure 4.2 MINITAB side -by- side scatterplots for the data of Table