All rights reserved.Section 9.2 Piecewise Linear Regression... 9- 34Figure 9.17 SAS printout of logistic regression on bid status continued on next slide... 9- 35Figure 9.17 SAS print
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Chapter 9
Special Topics
in Regression
(Optional)
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Section 9.1
Introduction
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Section 9.2
Piecewise
Linear
Regression
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Figure 9.1 Relationship between
compressive strength (y) and water/cement
ratio (x)
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Figure 9.2 Slopes and y-intercepts
for piecewise linear regression
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Figure 9.3 SAS piecewise linear
regression printout
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Figure 9.4 MINITAB graph of
reading scores
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Figure 9.5 MINITAB analysis of
straight-line model for reading score
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Figure 9.6 MINITAB graph of reading
scores, with quadratic model results
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Figure 9.7 SAS analysis of piecewise
linear model for reading score
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Figure 9.8 MINITAB graph of predicting
reading scores using piecewise regression
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Section 9.3
Inverse
Prediction
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Figure 9.9 MINITAB analysis of
straight-line model, Example 9.3
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Figure 9.10 MINITAB scatterplot of data
and least squares line, Example 9.3
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Section 9.4
Weighted
Least Squares
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Figure 9.11 MINITAB printout of
straight-line model, Example 9.4
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Figure 9.12 MINITAB plot of
residuals against road length, x
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Figure 9.13 MINITAB printout of
weighted least squares fit, Example 9.4
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Figure 9.14 MINITAB plot of weight
residuals against road length, x
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Section 9.6
Logistic
Regression
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Figure 9.15 Graph of E(y) for the
logistic model
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Figure 9.16 Several chi-square
probability distributions
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Figure 9.17 SAS printout of logistic
regression on bid status
continued on next slide
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Figure 9.17 SAS printout of logistic
regression on bid status (cont’d)
continued on next slide
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Figure 9.17 SAS printout of logistic
regression on bid status (cont’d)
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Figure 9.18 SAS analysis of complete
second-order logistic model, Example 9.6
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Section 9.7
Ridge
Regression
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Figure 9.19 Sampling distributions of two
estimators of a regression coefficient
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Figure 9.20 Ridge trace of coefficients
of a model with three independent
variables
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Figure 9.21 SAS regression printout for
model of carbon monoxide content,
Example 9.7
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Figure 9.22 SAS ridge trace for
model of carbon monoxide content
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Figure 9.23a SAS listing of VIFs for ridge
regression of carbon monoxide content
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Figure 9.23b SAS listing of ridge beta
estimates and root MSE for carbon
monoxide content model
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Section 9.8
Robust
Regression
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Figure 9.24 Probability distribution
of : normal versus heavy-tailed
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Figure 9.25 SAS least squares regression
printout for fast-food sales model
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Section 9.9
Nonparametric
Regression
Models
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Figure 9.26 SAS robust regression
printout for fast-food sales model
continued on next slide
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Figure 9.26 SAS robust regression
printout for fast-food sales model (cont’d)
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Figure 9.27 Scatterplot of data for
MS patients