Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 9 Special Topics in Regression (Optional)

Copyright © 2012 Pearson Education, Inc. All rights reserved.

Chapter 9

Special Topics in Regression (Optional)


Section 9.1

Introduction


Section 9.2

Piecewise Linear Regression

Copyright © 2012 Pearson Education, Inc. All rights reserved.9- 4

Figure 9.1 Relationship between compressive strength (y) and water/cement ratio (x)


Figure 9.2 Slopes and y-intercepts for piecewise linear regression



Figure 9.3 SAS piecewise linear regression printout

Copyright © 2012 Pearson Education, Inc. All rights reserved.9- 8continued on next slide

Copyright © 2012 Pearson Education, Inc. All rights reserved.9- 9continued on next slide



Figure 9.4 MINITAB graph of reading scores


Figure 9.5 MINITAB analysis of straight-line model for reading score


Figure 9.6 MINITAB graph of reading scores, with quadratic model results


Figure 9.7 SAS analysis of piecewise linear model for reading score


Figure 9.8 MINITAB graph of predicting reading scores using piecewise regression


Section 9.3

Inverse Prediction




Figure 9.9 MINITAB analysis of straight-line model, Example 9.3


Figure 9.10 MINITAB scatterplot of data and least squares line, Example 9.3


Section 9.4

Weighted Least Squares



Figure 9.11 MINITAB printout of straight-line model, Example 9.4


Figure 9.12 MINITAB plot of residuals against road length, x



Figure 9.13 MINITAB printout of weighted least squares fit, Example 9.4


Figure 9.14 MINITAB plot of weight residuals against road length, x


Section 9.5

Modeling Qualitative Dependent Variables


Section 9.6

Logistic Regression


Figure 9.15 Graph of E(y) for the logistic model



Figure 9.16 Several chi-square probability distributions



Figure 9.17 SAS printout of logistic regression on bid status

continued on next slide


Figure 9.17 SAS printout of logistic regression on bid status (cont’d)



Figure 9.17 SAS printout of logistic regression on bid status (cont’d)



Figure 9.18 SAS analysis of complete second-order logistic model, Example 9.6


Section 9.7

Ridge Regression


Figure 9.19 Sampling distributions of two estimators of a regression coefficient


Figure 9.20 Ridge trace of coefficients of a model with three independent variables


Figure 9.21 SAS regression printout for model of carbon monoxide content, Example 9.7


Figure 9.22 SAS ridge trace for model of carbon monoxide content


Figure 9.23a SAS listing of VIFs for ridge regression of carbon monoxide content


Figure 9.23b SAS listing of ridge beta estimates and root MSE for carbon monoxide content model


Section 9.8

Robust Regression


Figure 9.24 Probability distribution of : normal versus heavy-tailed


Figure 9.25 SAS least squares regression printout for fast-food sales model


Section 9.9

Nonparametric Regression Models


Figure 9.26 SAS robust regression printout for fast-food sales model



Figure 9.26 SAS robust regression printout for fast-food sales model (cont’d)


Figure 9.27 Scatterplot of data for MS patients

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Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 9 Special Topics in Regression (Optional)