Chapter 7 Some Regression Pitfalls.

Chapter 7 Some Regression Pitfalls

Section 7.1 Introduction

Section 7.2 Observational Data versus Designed Experiments

Section 7.3 Parameter Estimability and Interpretation

Figure 7.1 Creativity and flexibility data for three children
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Figure 7.2 Only two different x-values observed - the second-order model is not estimable

Figure 7.3 SAS output for interaction model, Example 7.3

Figure 7.4 SPSS regression printout for grandfather clock model

Section 7.4 Multi-collinearity

Figure 7.5 SAS regression printout for FTC model

Figure 7.6 SAS correlation matrix for independent variables in FTC model

Section 7.5 Extrapolation: Predicting Outside the Experimental Region

Figure 7.7 Using a regression model outside the experimental region

Figure 7.9 MINITAB descriptive statistics for independent variables, Example 7.6

Section 7.6 Variable Transformations

Figure 7.10 Hypothetical relation between demand y and price p

Figure 7.11a,b,c&d Graphs of some mathematical functions relating E(y) to p

Figure 7.11e,f&g Graphs of some mathematical functions relating E(y) to p

Figure 7.12 MINITAB regression printout for Example 7.8

Figure 7.13 Graph of the demand - price curve for Example 7.8

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