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A second course in statistics regression analysis 7th by mendenhall ch09

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Cấu trúc

  • Slide 1

  • Slide 2

  • Slide 3

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

  • Figure 9.2 Slopes and y-intercepts for piecewise linear regression

  • Slide 6

  • Figure 9.3 SAS piecewise linear regression printout

  • Slide 8

  • Slide 9

  • Slide 10

  • 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

  • Slide 16

  • Slide 17

  • Slide 18

  • 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

  • Slide 21

  • Slide 22

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

  • Figure 9.12 MINITAB plot of residuals against road length, x

  • Slide 25

  • 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

  • Slide 28

  • Slide 29

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

  • Slide 31

  • Figure 9.16 Several chi-square probability distributions

  • Slide 33

  • Figure 9.17 SAS printout of logistic regression on bid status

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

  • Slide 36

  • Slide 37

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

  • Slide 39

  • Figure 9.19 Sampling distributions of two estimators of a regression coefficient b

  • Figure 9.20 Ridge trace of b 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

  • Slide 46

  • Figure 9.24 Probability distribution of e : normal versus heavy-tailed

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

  • Slide 49

  • 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

Nội dung

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

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