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Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 9 Special Topics in Regression (Optional)
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.1 Introduction
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.2 Piecewise Linear Regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 4 Figure 9.1 Relationship between compressive strength (y) and water/cement ratio (x)
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 5 Figure 9.2 Slopes and y-intercepts for piecewise linear regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 6
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 7 Figure 9.3 SAS piecewise linear regression printout
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 8 continued on next slide
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 9 continued on next slide
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 10
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 11 Figure 9.4 MINITAB graph of reading scores
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 12 Figure 9.5 MINITAB analysis of straight-line model for reading score
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 13 Figure 9.6 MINITAB graph of reading scores, with quadratic model results
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 14 Figure 9.7 SAS analysis of piecewise linear model for reading score
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 15 Figure 9.8 MINITAB graph of predicting reading scores using piecewise regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.3 Inverse Prediction
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 17
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 18
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 19 Figure 9.9 MINITAB analysis of straight-line model, Example 9.3
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 20 Figure 9.10 MINITAB scatterplot of data and least squares line, Example 9.3
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.4 Weighted Least Squares
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 22
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 23 Figure 9.11 MINITAB printout of straight-line model, Example 9.4
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 24 Figure 9.12 MINITAB plot of residuals against road length, x
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 25
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 26 Figure 9.13 MINITAB printout of weighted least squares fit, Example 9.4
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 27 Figure 9.14 MINITAB plot of weight residuals against road length, x
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.5 Modeling Qualitative Dependent Variables
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.6 Logistic Regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 30 Figure 9.15 Graph of E(y) for the logistic model
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 31
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 32 Figure 9.16 Several chi-square probability distributions
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 33
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 34 Figure 9.17 SAS printout of logistic regression on bid status continued on next slide
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 35 Figure 9.17 SAS printout of logistic regression on bid status (cont’d) continued on next slide
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 36 Figure 9.17 SAS printout of logistic regression on bid status (cont’d)
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 37
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 38 Figure 9.18 SAS analysis of complete second-order logistic model, Example 9.6
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.7 Ridge Regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 40 Figure 9.19 Sampling distributions of two estimators of a regression coefficient
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 41 Figure 9.20 Ridge trace of coefficients of a model with three independent variables
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 42 Figure 9.21 SAS regression printout for model of carbon monoxide content, Example 9.7
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 43 Figure 9.22 SAS ridge trace for model of carbon monoxide content
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 44 Figure 9.23a SAS listing of VIFs for ridge regression of carbon monoxide content
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 45 Figure 9.23b SAS listing of ridge beta estimates and root MSE for carbon monoxide content model
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.8 Robust Regression
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 47 Figure 9.24 Probability distribution of : normal versus heavy-tailed
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 48 Figure 9.25 SAS least squares regression printout for fast-food sales model
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 9.9 Nonparametric Regression Models
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 50 Figure 9.26 SAS robust regression printout for fast-food sales model continued on next slide
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 51 Figure 9.26 SAS robust regression printout for fast-food sales model (cont’d)
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Copyright © 2012 Pearson Education, Inc. All rights reserved. 9- 52 Figure 9.27 Scatterplot of data for MS patients
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