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April 29, 2009 11:50 World Scientific Book - 9in x 6in Regression˙master
xviii Linear Regression Analysis: Theory and Computing
3.12 Parameter Estimates for Regression Model for Coal-Cleansing
Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109
3.13 Residuals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
3.14 Manpower Data . . . . . . . . . . . . . . . . . . . . . . . . . . 111
3.15 Simultaneous Outlier Detection . . . . . . . . . . . . . . . . . . 113
3.16 Detection of Multiple Mean Shift Outliers . . . . . . . . . . . . 114
3.17 Stand Characteristics of Pine Tree Data . . . . . . . . . . . . . 116
3.18 Parameter Estimates and Confidence Intervals Using x
1
, x
2
and
x
3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
3.19 Parameter Estimates and Confidence Intervals after Deleting x
3
117
3.20 Confidence Intervals on Regression Mean and Prediction With-
out Deletion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
3.21 Confidence Intervals on Regression Mean and Prediction After
Deleting x
3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118
3.22 Regression Model for Centralized Data . . . . . . . . . . . . . . 119
3.23 Test for Equal Slope Among 3 Groups . . . . . . . . . . . . . . 121
3.24 Regression by Group . . . . . . . . . . . . . . . . . . . . . . . . 121
3.25 Data Set for Calculation of Confidence Interval on Regression
Prediction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
3.26 Propellant Grain Data . . . . . . . . . . . . . . . . . . . . . . . 124
3.27 Data Set for Testing Linear Hypothesis . . . . . . . . . . . . . 124
3.28 Algae Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
4.1 Coal-cleansing Data . . . . . . . . . . . . . . . . . . . . . . . . 141
4.2 Parameter Estimates for y = b
0
+ b
1
x
1
+ b
2
x
2
+ b
3
x
3
. . . . . . 141
4.3 Residuals, Leverage, and t
i
. . . . . . . . . . . . . . . . . . . . 142
4.4 Navy Manpower Data . . . . . . . . . . . . . . . . . . . . . . . 144
4.5 Residuals for Model With Regressors x
1
and x
2
. . . . . . . . . 146
4.6 Residuals for Model With Regressors x
1
3
1
and x
2
. . . . . . . . 146
4.7 Sales Data for Asphalt Shingles . . . . . . . . . . . . . . . . . . 151
4.8 Values of PRESS Statistic for Various Regression Models . . . 152
4.9 PRESS Residuals and Leverages for Models Including x
1
, x
2
(press12, h12) and Including x
1
, x
2
, x
3
(press123, h123) . . . . 153
4.10 Data Set for Multiple Mean Shift Outliers . . . . . . . . . . . 154
4.11 Fish Biomass Data . . . . . . . . . . . . . . . . . . . . . . . . . 155
5.1 The Quasar Data from Ex. 4.9 in Mendenhall and Sinich (2003) 174
5.2 All Possible Regression Selection for the Quasar Data. . . . . . 175
5.3 Backward Elimination Procedure for the Quasar Data. . . . . . 190