Chapter Some Regression Pitfalls Copyright © 2012 Pearson Education, Inc All rights reserved Section 7.1 Introduction Copyright © 2012 Pearson Education, Inc All rights reserved Section 7.2 Observational Data versus Designed Experiments Copyright © 2012 Pearson Education, Inc All rights reserved Section 7.3 Parameter Estimability and Interpretation Copyright © 2012 Pearson Education, Inc All rights reserved Figure 7.1 Creativity and flexibility data for three children Copyright © 2012 Pearson Education, Inc 7- Figure 7.2 Only two different x-values observed - the second-order model is not estimable Copyright © 2012 Pearson Education, Inc 7- Copyright © 2012 Pearson Education, Inc 7- Copyright © 2012 Pearson Education, Inc 7- Figure 7.3 SAS output for interaction model, Example 7.3 Copyright © 2012 Pearson Education, Inc 7- Figure 7.4 SPSS regression printout for grandfather clock model Copyright © 2012 Pearson Education, Inc 7- 10 Copyright © 2012 Pearson Education, Inc 7- 13 Figure 7.5 SAS regression printout for FTC model Copyright © 2012 Pearson Education, Inc 7- 14 Figure 7.6 SAS correlation matrix for independent variables in FTC model Copyright © 2012 Pearson Education, Inc 7- 15 Section 7.5 Extrapolation: Predicting Outside the Experimental Region Copyright © 2012 Pearson Education, Inc All rights reserved Figure 7.7 Using a regression model outside the experimental region Copyright © 2012 Pearson Education, Inc 7- 17 Figure 7.8 Experimental region for modeling GDP (y) as a function of inflation rate (x1) and prime interest rate (x2) Copyright © 2012 Pearson Education, Inc 7- 18 Figure 7.9 MINITAB descriptive statistics for independent variables, Example 7.6 Copyright © 2012 Pearson Education, Inc 7- 19 Section 7.6 Variable Transformations Copyright © 2012 Pearson Education, Inc All rights reserved Figure 7.10 Hypothetical relation between demand y and price p Copyright © 2012 Pearson Education, Inc 7- 21 Figure 7.11a,b,c&d Graphs of some mathematical functions relating E(y) to p Copyright © 2012 Pearson Education, Inc 7- 22 Figure 7.11e,f&g Graphs of some mathematical functions relating E(y) to p Copyright © 2012 Pearson Education, Inc 7- 23 Copyright © 2012 Pearson Education, Inc 7- 24 Copyright © 2012 Pearson Education, Inc 7- 25 Figure 7.12 MINITAB regression printout for Example 7.8 Copyright © 2012 Pearson Education, Inc 7- 26 Figure 7.13 Graph of the demand - price curve for Example 7.8 Copyright © 2012 Pearson Education, Inc 7- 27 ... 2012 Pearson Education, Inc 7- 18 Figure 7.9 MINITAB descriptive statistics for independent variables, Example 7.6 Copyright © 2012 Pearson Education, Inc 7- 19 Section 7.6 Variable Transformations... Pearson Education, Inc 7- 13 Figure 7.5 SAS regression printout for FTC model Copyright © 2012 Pearson Education, Inc 7- 14 Figure 7.6 SAS correlation matrix for independent variables in FTC model... 7.3 Parameter Estimability and Interpretation Copyright © 2012 Pearson Education, Inc All rights reserved Figure 7.1 Creativity and flexibility data for three children Copyright © 2012 Pearson