Chapter Special Topics in Regression (Optional) Copyright © 2012 Pearson Education, Inc All rights reserved Section 9.1 Introduction Copyright © 2012 Pearson Education, Inc All rights reserved Section 9.2 Piecewise Linear Regression Copyright © 2012 Pearson Education, Inc All rights reserved Figure 9.1 Relationship between compressive strength (y) and water/cement ratio (x) Copyright © 2012 Pearson Education, Inc 9- Figure 9.2 Slopes and y-intercepts for piecewise linear regression Copyright © 2012 Pearson Education, Inc 9- Copyright © 2012 Pearson Education, Inc 9- Figure 9.3 SAS piecewise linear regression printout Copyright © 2012 Pearson Education, Inc 9- continued on next slide Copyright © 2012 Pearson Education, Inc 9- continued on next slide Copyright © 2012 Pearson Education, Inc 9- Copyright © 2012 Pearson Education, Inc 9- 10 Figure 9.18 SAS analysis of complete second-order logistic model, Example 9.6 Copyright © 2012 Pearson Education, Inc 9- 38 Section 9.7 Ridge Regression Copyright © 2012 Pearson Education, Inc All rights reserved Figure 9.19 Sampling distributions of two estimators of a regression coefficient β Copyright © 2012 Pearson Education, Inc 9- 40 Figure 9.20 Ridge trace of β coefficients of a model with three independent variables Copyright © 2012 Pearson Education, Inc 9- 41 Figure 9.21 SAS regression printout for model of carbon monoxide content, Example 9.7 Copyright © 2012 Pearson Education, Inc 9- 42 Figure 9.22 SAS ridge trace for model of carbon monoxide content Copyright © 2012 Pearson Education, Inc 9- 43 Figure 9.23a SAS listing of VIFs for ridge regression of carbon monoxide content Copyright © 2012 Pearson Education, Inc 9- 44 Figure 9.23b SAS listing of ridge beta estimates and root MSE for carbon monoxide content model Copyright © 2012 Pearson Education, Inc 9- 45 Section 9.8 Robust Regression Copyright © 2012 Pearson Education, Inc All rights reserved Figure 9.24 Probability distribution of ε : normal versus heavy-tailed Copyright © 2012 Pearson Education, Inc 9- 47 Figure 9.25 SAS least squares regression printout for fast-food sales model Copyright © 2012 Pearson Education, Inc 9- 48 Section 9.9 Nonparametric Regression Models Copyright © 2012 Pearson Education, Inc All rights reserved Figure 9.26 SAS robust regression printout for fast-food sales model continued on next slide Copyright © 2012 Pearson Education, Inc 9- 50 Figure 9.26 SAS robust regression printout for fast-food sales model (cont’d) Copyright © 2012 Pearson Education, Inc 9- 51 Figure 9.27 Scatterplot of data for MS patients Copyright © 2012 Pearson Education, Inc 9- 52 ... Education, Inc 9- 18 Figure 9.9 MINITAB analysis of straight-line model, Example 9.3 Copyright © 2012 Pearson Education, Inc 9- 19 Figure 9.10 MINITAB scatterplot of data and least squares line,... Figure 9.7 SAS analysis of piecewise linear model for reading score Copyright © 2012 Pearson Education, Inc 9- 14 Figure 9.8 MINITAB graph of predicting reading scores using piecewise regression. .. 2012 Pearson Education, Inc 9- Copyright © 2012 Pearson Education, Inc 9- 10 Figure 9.4 MINITAB graph of reading scores Copyright © 2012 Pearson Education, Inc 9- 11 Figure 9.5 MINITAB analysis