EQUATION 1

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2 / ORIGIN / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,03

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume
c Linear Regression through the Origin





Model Summary

R R Square(a) Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,982(b) ,964 ,964 1,32730E-02 ,964 9390,070 1 349 ,000 -3024,417 ,036 1,000 -3020,560
a For regression through the origin (the no-intercept model), R Square measures the proportion of the variability in the dependent variable about the origin explained by regression. This CANNOT be compared to R Square for models which include an intercept.
b Predictors: D2

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,654 1 1,654 9390,070 ,000(a)
Residual 6,148E-02 349 1,762E-04

Total 1,716(b) 350


a Predictors: D2
b This total sum of squares is not corrected for the constant because the constant is zero for regression through the origin.
c Dependent Variable: total volume
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D2 5,907 ,061 ,982 ,010 96,902 ,000 5,787 6,027 ,982 ,982 ,982 1,000 1,000
a Dependent Variable: total volume
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model D2
1 Correlations D2 1,000
Covariances D2 3,715E-03
a Dependent Variable: total volume
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows D2 total volume
1 D2 1,000(xx) -,982(xy)
total volume ,982(yx) ,036(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D2
1 1 1,000 1,000 1,00
a Dependent Variable: total volume
b Linear Regression through the Origin

EQUATION 2

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2 / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,993(a) ,987 ,987 4,67539E-03 ,987 26473,508 1 348 ,000 -3753,816 ,013 2,000 -3746,100
a Predictors: (Constant), D2

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,579 1 ,579 26473,508 ,000(a)
Residual 7,607E-03 348 2,186E-05

Total ,586 349


a Predictors: (Constant), D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -2,896E-02 ,001

-49,646 ,000 -,030 -,028




D2 8,155 ,050 ,993 ,006 162,707 ,000 8,056 8,254 ,993 ,993 ,993 1,000 1,000
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D2
1 Correlations D2 1,000
Covariances D2 2,512E-03
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2 total volume
1 D2 1,000(xx) -,993(xy)
total volume ,993(yx) ,013(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2
1 1 1,904 1,000 ,05 ,05
2 9,640E-02 4,444 ,95 ,95
a Dependent Variable: total volume

EQUATION 3

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v g / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER g.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 G(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,993(a) ,987 ,987 4,67539E-03 ,987 26473,508 1 348 ,000 -3753,816 ,013 2,000 -3746,100
a Predictors: (Constant), G

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,579 1 ,579 26473,508 ,000(a)
Residual 7,607E-03 348 2,186E-05

Total ,586 349


a Predictors: (Constant), G
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -2,896E-02 ,001

-49,646 ,000 -,030 -,028




G 10,389 ,064 ,993 ,006 162,707 ,000 10,263 10,514 ,993 ,993 ,993 1,000 1,000
a Dependent Variable: total volume

Coefficient Correlations(a)
Model G
1 Correlations G 1,000
Covariances G 4,077E-03
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows G total volume
1 G 1,000(xx) -,993(xy)
total volume ,993(yx) ,013(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) G
1 1 1,904 1,000 ,05 ,05
2 9,640E-02 4,444 ,95 ,95
a Dependent Variable: total volume

EQUATION 4

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 / ORIGIN / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D D2.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 D2, D(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume
c Linear Regression through the Origin





Model Summary

R R Square(a) Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(b) ,997 ,997 3,96557E-03 ,997 54378,550 2 348 ,000 -3869,080 ,003 2,000 -3861,364
a For regression through the origin (the no-intercept model), R Square measures the proportion of the variability in the dependent variable about the origin explained by regression. This CANNOT be compared to R Square for models which include an intercept.
b Predictors: D2, D

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,710 2 ,855 54378,550 ,000(a)
Residual 5,473E-03 348 1,573E-05

Total 1,716(b) 350


a Predictors: D2, D
b This total sum of squares is not corrected for the constant because the constant is zero for regression through the origin.
c Dependent Variable: total volume
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D -,520 ,009 -,761 ,013 -59,681 ,000 -,537 -,503 ,911 -,954 -,181 ,056 17,755
D2 10,355 ,077 1,721 ,013 134,949 ,000 10,205 10,506 ,982 ,991 ,409 ,056 17,755
a Dependent Variable: total volume
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model D2 D
1 Correlations D2 1,000 -,971
D -,971 1,000
Covariances D2 5,888E-03 -6,492E-04
D -6,492E-04 7,585E-05
a Dependent Variable: total volume
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows D2 D total volume
1 D2 17,755(xx) -17,248 -1,721(xy)
D -17,248 17,755(xx) ,761(xy)
total volume 1,721(yx) -,761(yx) ,003(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D D2
1 1 1,971 1,000 ,01 ,01
2 2,857E-02 8,307 ,99 ,99
a Dependent Variable: total volume
b Linear Regression through the Origin

EQUATION 5

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D D2.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2, D(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,995(a) ,991 ,991 3,94890E-03 ,991 18625,588 2 347 ,000 -3871,037 ,009 3,000 -3859,463
a Predictors: (Constant), D2, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,581 2 ,290 18625,588 ,000(a)
Residual 5,411E-03 347 1,559E-05

Total ,586 349


a Predictors: (Constant), D2, D
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 5,920E-03 ,003

1,986 ,048 ,000 ,012




D -,623 ,052 -,325 ,027 -11,867 ,000 -,726 -,519 ,964 -,537 -,061 ,035 28,208
D2 10,775 ,225 1,313 ,027 47,926 ,000 10,333 11,218 ,993 ,932 ,247 ,035 28,208
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D2 D
1 Correlations D2 1,000 -,982
D -,982 1,000
Covariances D2 5,055E-02 -1,158E-02
D -1,158E-02 2,752E-03
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2 D total volume
1 D2 28,208(xx) -27,703 -1,313(xy)
D -27,703 28,208(xx) ,325(xy)
total volume 1,313(yx) -,325(yx) ,009(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D D2
1 1 2,902 1,000 ,00 ,00 ,00
2 9,655E-02 5,483 ,02 ,00 ,04
3 1,008E-03 53,659 ,97 1,00 ,96
a Dependent Variable: total volume

EQUATION 6

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 D3 / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D D2 D3.
Resources Memory Required 2124 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,00

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D3, D, D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,995(a) ,991 ,991 3,93150E-03 ,991 12528,516 3 346 ,000 -3873,136 ,009 4,000 -3857,705
a Predictors: (Constant), D3, D, D2

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,581 3 ,194 12528,516 ,000(a)
Residual 5,348E-03 346 1,546E-05

Total ,586 349


a Predictors: (Constant), D3, D, D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 2,405E-02 ,009

2,543 ,011 ,005 ,043




D -1,103 ,244 -,576 ,127 -4,526 ,000 -1,583 -,624 ,964 -,236 -,023 ,002 614,721
D2 14,792 2,002 1,802 ,244 7,389 ,000 10,855 18,730 ,993 ,369 ,038 ,000 2256,353
D3 -10,474 5,187 -,248 ,123 -2,019 ,044 -20,677 -,271 ,986 -,108 -,010 ,002 570,212
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D3 D D2
1 Correlations D3 1,000 ,977 -,994
D ,977 1,000 -,994
D2 -,994 -,994 1,000
Covariances D3 26,909 1,235 -10,320
D 1,235 5,945E-02 -,485
D2 -10,320 -,485 4,008
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D3 D D2 total volume
1 D3 570,212(xx) 578,305 -1127,172 ,248(xy)
D 578,305 614,721(xx) -1170,873 ,576(xy)
D2 -1127,172 -1170,873 2256,353(xx) -1,802(xy)
total volume -,248(yx) -,576(yx) 1,802(yx) ,009(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D D2 D3
1 1 3,732 1,000 ,00 ,00 ,00 ,00
2 ,262 3,777 ,00 ,00 ,00 ,00
3 6,185E-03 24,564 ,02 ,00 ,00 ,03
4 3,367E-05 332,946 ,98 1,00 1,00 ,97
a Dependent Variable: total volume

EQUATION 7

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 D3 D4 / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D D2 D3 D4.
Resources Memory Required 2388 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D4, D, D2(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,995(a) ,991 ,991 3,93676E-03 ,991 12494,756 3 346 ,000 -3872,201 ,009 4,000 -3856,769(b)
a Predictors: (Constant), D4, D, D2
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D3

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,581 3 ,194 12494,756 ,000(a)
Residual 5,362E-03 346 1,550E-05

Total ,586 349


a Predictors: (Constant), D4, D, D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 1,790E-02 ,007

2,424 ,016 ,003 ,032




D -,907 ,169 -,473 ,088 -5,375 ,000 -1,239 -,575 ,964 -,278 -,028 ,003 293,546
D2 12,572 1,038 1,532 ,126 12,110 ,000 10,530 14,614 ,993 ,546 ,062 ,002 605,187
D4 -17,439 9,838 -,079 ,044 -1,773 ,077 -36,790 1,911 ,942 -,095 -,009 ,013 74,768
a Dependent Variable: total volume





Excluded Variables(b)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D3 -4,746(a) -3,146 ,002 -,167 1,132E-05 88332,637 1,132E-05
a Predictors in the Model: (Constant), D4, D, D2
b Dependent Variable: total volume

Coefficient Correlations(a)
Model D4 D D2
1 Correlations D4 1,000 ,951 -,976
D ,951 1,000 -,994
D2 -,976 -,994 1,000
Covariances D4 96,794 1,578 -9,974
D 1,578 2,846E-02 -,174
D2 -9,974 -,174 1,078
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D4 D D2 total volume D3
1 D4 74,768(xx) 140,850 -207,700 ,079(xy) -,361(x~)
D 140,850 293,546(xx) -418,976 ,473(xy) ,334(x~)
D2 -207,700 -418,976 605,187(xx) -1,532(xy) -,974(x~)
total volume -,079(yx) -,473(yx) 1,532(yx) ,009(yy) ,000(y~)
D3 ,361(~x) -,334(~x) ,974(~x) ,000(~y) ,000(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D D2 D4
1 1 3,524 1,000 ,00 ,00 ,00 ,00
2 ,459 2,772 ,00 ,00 ,00 ,01
3 1,726E-02 14,290 ,02 ,00 ,01 ,07
4 8,815E-05 199,941 ,98 1,00 ,99 ,92
a Dependent Variable: total volume

EQUATION 8

Regression

Notes
Output Created 19-OCT-2004 09:38:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 Dr D2r Dl D2l / STATISTICS = all/ DEPENDENT = v / METHOD STEPWISE.
Resources Memory Required 3380 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:03,94

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(a)
Model Variables Entered Variables Removed Method
1 D2 , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 DR , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,993(a) ,987 ,987 4,67539E-03 ,987 26473,508 1 348 ,000 -3753,816 ,013 152,227 -3746,100(b)
2 ,995(c) ,991 ,991 3,90407E-03 ,004 152,089 1 347 ,000 -3879,027 ,009 2,401 -3867,453(b)
a Predictors: (Constant), D2
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, DR, DL
c Predictors: (Constant), D2, DR

ANOVA(c)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,579 1 ,579 26473,508 ,000(a)
Residual 7,607E-03 348 2,186E-05

Total ,586 349


2 Regression ,581 2 ,291 19059,712 ,000(b)
Residual 5,289E-03 347 1,524E-05

Total ,586 349


a Predictors: (Constant), D2
b Predictors: (Constant), D2, DR
c Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -2,896E-02 ,001

-49,646 ,000 -,030 -,028




D2 8,155 ,050 ,993 ,006 162,707 ,000 8,056 8,254 ,993 ,993 ,993 1,000 1,000
2 (Constant) -6,605E-02 ,003

-21,681 ,000 -,072 -,060




D2 9,091 ,087 1,108 ,011 104,861 ,000 8,921 9,262 ,993 ,985 ,535 ,233 4,291
DR 2,624E-03 ,000 ,130 ,011 12,332 ,000 ,002 ,003 -,840 ,552 ,063 ,233 4,291
a Dependent Variable: total volume





Excluded Variables(c)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D -,325(a) -11,867 ,000 -,537 3,545E-02 28,208 3,545E-02
DR ,130(a) 12,332 ,000 ,552 ,233 4,291 ,233
D2R ,107(a) 12,308 ,000 ,551 ,344 2,908 ,344
DL -,178(a) -12,181 ,000 -,547 ,123 8,117 ,123
D2L -,178(a) -12,181 ,000 -,547 ,123 8,117 ,123
2 D ,019(b) ,156 ,876 ,008 1,678E-03 596,092 1,678E-03
D2R ,041(b) ,490 ,624 ,026 3,810E-03 262,435 2,582E-03
DL ,040(b) ,297 ,766 ,016 1,464E-03 683,291 1,464E-03
D2L ,040(b) ,297 ,766 ,016 1,464E-03 683,291 1,464E-03
a Predictors in the Model: (Constant), D2
b Predictors in the Model: (Constant), D2, DR
c Dependent Variable: total volume

Coefficient Correlations(a)
Model D2 DR
1 Correlations D2 1,000
Covariances D2 2,512E-03
2 Correlations D2 1,000 ,876
DR ,876 1,000
Covariances D2 7,517E-03 1,615E-05
DR 1,615E-05 4,526E-08
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2 total volume D DR D2R DL D2L
1 D2 1,000(xx) -,993(xy) -,982(x~) ,876(x~) ,810(x~) -,936(x~) -,936(x~)
total volume ,993(yx) ,013(yy) -,012(y~) ,030(y~) ,037(y~) -,022(y~) -,022(y~)
D ,982(~x) -,012(~y) ,035(~~) -,089 -,105 ,066 ,066
DR -,876(~x) ,030(~y) -,089 ,233(~~) ,282 -,168 -,168
D2R -,810(~x) ,037(~y) -,105 ,282 ,344(~~) -,201 -,201
DL ,936(~x) -,022(~y) ,066 -,168 -,201 ,123(~~) ,123
D2L ,936(~x) -,022(~y) ,066 -,168 -,201 ,123 ,123(~~)
2 D2 4,291(xx) -1,108(xy) -,649(x~) 3,758 -,248(x~) -,303(x~) -,303(x~)
total volume 1,108(yx) ,009(yy) ,000(y~) ,130(yx) ,000(y~) ,000(y~) ,000(y~)
D ,649(~x) ,000(~y) ,002(~~) -,381(~x) ,002 ,002 ,002
DR 3,758 -,130(xy) ,381(x~) 4,291(xx) -1,208(x~) ,723(x~) ,723(x~)
D2R ,248(~x) ,000(~y) ,002 1,208(~x) ,004(~~) ,002 ,002
DL ,303(~x) ,000(~y) ,002 -,723(~x) ,002 ,001(~~) ,001
D2L ,303(~x) ,000(~y) ,002 -,723(~x) ,002 ,001 ,001(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2 DR
1 1 1,904 1,000 ,05 ,05
2 9,640E-02 4,444 ,95 ,95
2 1 2,801 1,000 ,00 ,00 ,00
2 ,196 3,784 ,00 ,14 ,01
3 2,879E-03 31,192 1,00 ,86 ,98
a Dependent Variable: total volume

EQUATION 9

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl Dl / STATISTICS = all/ DEPENDENT = vl / METHOD = ENTER Dl.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,995(a) ,989 ,989 6,259E-02 ,989 32108,884 1 348 ,000 -1937,800 ,011 2,000 -1930,084
a Predictors: (Constant), DL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 125,791 1 125,791 32108,884 ,000(a)
Residual 1,363 348 3,918E-03

Total 127,154 349


a Predictors: (Constant), DL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 3,875 ,039

99,810 ,000 3,799 3,952




DL 2,987 ,017 ,995 ,006 179,190 ,000 2,955 3,020 ,995 ,995 ,995 1,000 1,000
a Dependent Variable: VL

Coefficient Correlations(a)
Model DL
1 Correlations DL 1,000
Covariances DL 2,779E-04
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows DL VL
1 DL 1,000(xx) -,995(xy)
VL ,995(yx) ,011(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL
1 1 1,996 1,000 ,00 ,00
2 3,719E-03 23,168 1,00 1,00
a Dependent Variable: VL

EQUATION 10

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl Dl Dr / STATISTICS = all/ DEPENDENT = vl / METHOD = ENTER Dl Dr.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DR, DL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,996(a) ,993 ,993 5,215E-02 ,993 23202,342 2 347 ,000 -2064,535 ,008 3,000 -2052,962
a Predictors: (Constant), DR, DL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,210 2 63,105 23202,342 ,000(a)
Residual ,944 347 2,720E-03

Total 127,154 349


a Predictors: (Constant), DR, DL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 2,430 ,121

20,111 ,000 2,192 2,667




DL 1,861 ,092 ,620 ,031 20,276 ,000 1,680 2,041 ,995 ,736 ,094 ,023 43,644
DR -,113 ,009 -,379 ,031 -12,420 ,000 -,130 -,095 -,992 -,555 -,057 ,023 43,644
a Dependent Variable: VL

Coefficient Correlations(a)
Model DR DL
1 Correlations DR 1,000 ,988
DL ,988 1,000
Covariances DR 8,214E-05 8,221E-04
DL 8,221E-04 8,422E-03
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows DR DL VL
1 DR 43,644(xx) 43,141 ,379(xy)
DL 43,141 43,644(xx) -,620(xy)
VL -,379(yx) ,620(yx) ,007(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL DR
1 1 2,981 1,000 ,00 ,00 ,00
2 1,871E-02 12,622 ,01 ,00 ,02
3 1,125E-04 162,755 ,99 1,00 ,98
a Dependent Variable: VL

EQUATION 11

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl D D2 Dr D2r Dl D2l / STATISTICS = all/ DEPENDENT = vl / METHOD = STEPWISE.
Resources Memory Required 3380 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(a)
Model Variables Entered Variables Removed Method
1 DL , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 D , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,995(a) ,989 ,989 6,259E-02 ,989 32108,884 1 348 ,000 -1937,800 ,011 170,989 -1930,084(b)
2 ,996(c) ,993 ,993 5,117E-02 ,004 173,632 1 347 ,000 -2077,801 ,007 ,572 -2066,228(b)
a Predictors: (Constant), DL
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, DR, DL
c Predictors: (Constant), DL, D

ANOVA(c)
Model Sum of Squares df Mean Square F Sig.
1 Regression 125,791 1 125,791 32108,884 ,000(a)
Residual 1,363 348 3,918E-03

Total 127,154 349


2 Regression 126,245 2 63,123 24105,362 ,000(b)
Residual ,909 347 2,619E-03

Total 127,154 349


a Predictors: (Constant), DL
b Predictors: (Constant), DL, D
c Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 3,875 ,039

99,810 ,000 3,799 3,952




DL 2,987 ,017 ,995 ,006 179,190 ,000 2,955 3,020 ,995 ,995 ,995 1,000 1,000
2 (Constant) 7,271 ,260

28,006 ,000 6,760 7,781




DL 4,024 ,080 1,340 ,027 50,411 ,000 3,867 4,181 ,995 ,938 ,229 ,029 34,293
D -9,877 ,750 -,350 ,027 -13,177 ,000 -11,351 -8,403 ,970 -,577 -,060 ,029 34,293
a Dependent Variable: VL





Excluded Variables(c)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D -,350(a) -13,177 ,000 -,577 2,916E-02 34,293 2,916E-02
D2 -,169(a) -13,045 ,000 -,574 ,123 8,117 ,123
DR -,379(a) -12,420 ,000 -,555 2,291E-02 43,644 2,291E-02
D2R -,196(a) -11,721 ,000 -,533 7,917E-02 12,632 7,917E-02
D2L ,(a) , , , ,000 , ,000
2 D2 -,009(b) -,083 ,934 -,004 1,831E-03 546,165 4,334E-04
DR ,086(b) ,670 ,503 ,036 1,244E-03 804,046 3,636E-04
D2R ,039(b) ,799 ,425 ,043 8,849E-03 113,012 1,361E-03
D2L ,(b) , , , ,000 , ,000
a Predictors in the Model: (Constant), DL
b Predictors in the Model: (Constant), DL, D
c Dependent Variable: VL

Coefficient Correlations(a)
Model DL D
1 Correlations DL 1,000
Covariances DL 2,779E-04
2 Correlations DL 1,000 -,985
D -,985 1,000
Covariances DL 6,371E-03 -5,895E-02
D -5,895E-02 ,562
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows DL VL D D2 DR D2R D2L
1 DL 1,000(xx) -,995(xy) -,985(x~) -,936(x~) ,988(x~) ,960(x~) -1,000(x~)
VL ,995(yx) ,011(yy) -,010(y~) -,021(y~) -,009(y~) -,016(y~) ,000(y~)
D ,985(~x) -,010(~y) ,029(~~) ,059 ,025 ,045 ,000
D2 ,936(~x) -,021(~y) ,059 ,123(~~) ,050 ,089 ,000
DR -,988(~x) -,009(~y) ,025 ,050 ,023(~~) ,042 ,000
D2R -,960(~x) -,016(~y) ,045 ,089 ,042 ,079(~~) ,000
D2L 1,000(~x) ,000(~y) ,000 ,000 ,000 ,000 ,000(~~)
2 DL 34,293(xx) -1,340(xy) -33,789 1,074(x~) 1,838(x~) 2,490(x~) -1,000(x~)
VL 1,340(yx) ,007(yy) -,350(yx) ,000(y~) ,000(y~) ,000(y~) ,000(y~)
D -33,789 ,350(xy) 34,293(xx) -2,040(x~) -,862(x~) -1,553(x~) ,000(x~)
D2 -1,074(~x) ,000(~y) 2,040(~x) ,002(~~) -,001 -,004 ,000
DR -1,838(~x) ,000(~y) ,862(~x) -,001 ,001(~~) ,003 ,000
D2R -2,490(~x) ,000(~y) 1,553(~x) -,004 ,003 ,009(~~) ,000
D2L 1,000(~x) ,000(~y) ,000(~x) ,000 ,000 ,000 ,000(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL D
1 1 1,996 1,000 ,00 ,00
2 3,719E-03 23,168 1,00 1,00
2 1 2,954 1,000 ,00 ,00 ,00
2 4,581E-02 8,030 ,00 ,00 ,02
3 6,947E-05 206,214 1,00 1,00 ,98
a Dependent Variable: VL

EQUATION 12

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2 Dr / STATISTICS = all/ DEPENDENT = vdD2 / METHOD = ENTER Dr.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DR(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,955(a) ,913 ,912 ,3015 ,913 3633,458 1 348 ,000 -837,193 ,088 2,000 -829,477
a Predictors: (Constant), DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 330,386 1 330,386 3633,458 ,000(a)
Residual 31,643 348 9,093E-02

Total 362,029 349


a Predictors: (Constant), DR
b Dependent Variable: VDD2



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 9,944 ,084

118,515 ,000 9,779 10,109




DR -,478 ,008 -,955 ,016 -60,278 ,000 -,494 -,463 -,955 -,955 -,955 1,000 1,000
a Dependent Variable: VDD2

Coefficient Correlations(a)
Model DR
1 Correlations DR 1,000
Covariances DR 6,292E-05
a Dependent Variable: VDD2

Swept Correlation Matrix(a)

Columns
Model Rows DR VDD2
1 DR 1,000(xx) ,955(xy)
VDD2 -,955(yx) ,087(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DR
1 1 1,981 1,000 ,01 ,01
2 1,863E-02 10,314 ,99 ,99
a Dependent Variable: VDD2

EQUATION 13

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2 D2r / STATISTICS = all/ DEPENDENT = vdD2 / METHOD = ENTER D2r.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2R(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,931(a) ,867 ,867 ,3713 ,867 2278,357 1 348 ,000 -691,576 ,134 2,000 -683,860
a Predictors: (Constant), D2R

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 314,059 1 314,059 2278,357 ,000(a)
Residual 47,970 348 ,138

Total 362,029 349


a Predictors: (Constant), D2R
b Dependent Variable: VDD2



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 7,403 ,054

135,866 ,000 7,295 7,510




D2R -2,165E-02 ,000 -,931 ,020 -47,732 ,000 -,023 -,021 -,931 -,931 -,931 1,000 1,000
a Dependent Variable: VDD2

Coefficient Correlations(a)
Model D2R
1 Correlations D2R 1,000
Covariances D2R 2,057E-07
a Dependent Variable: VDD2

Swept Correlation Matrix(a)

Columns
Model Rows D2R VDD2
1 D2R 1,000(xx) ,931(xy)
VDD2 -,931(yx) ,133(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2R
1 1 1,931 1,000 ,03 ,03
2 6,870E-02 5,302 ,97 ,97
a Dependent Variable: VDD2

EQUATION 14

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2 Dr D2r / STATISTICS = all/ DEPENDENT = vdD2 / METHOD = ENTER Dr D2r.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2R, DR(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,962(a) ,925 ,925 ,2791 ,925 2149,839 2 347 ,000 -890,277 ,076 3,000 -878,703
a Predictors: (Constant), D2R, DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 334,994 2 167,497 2149,839 ,000(a)
Residual 27,035 347 7,791E-02

Total 362,029 349


a Predictors: (Constant), D2R, DR
b Dependent Variable: VDD2



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 12,078 ,288

41,915 ,000 11,511 12,645




DR -,894 ,055 -1,785 ,109 -16,392 ,000 -1,001 -,786 -,955 -,661 -,240 ,018 55,114
D2R 1,947E-02 ,003 ,838 ,109 7,690 ,000 ,014 ,024 -,931 ,382 ,113 ,018 55,114
a Dependent Variable: VDD2

Coefficient Correlations(a)
Model D2R DR
1 Correlations D2R 1,000 -,991
DR -,991 1,000
Covariances D2R 6,407E-06 -1,367E-04
DR -1,367E-04 2,971E-03
a Dependent Variable: VDD2

Swept Correlation Matrix(a)

Columns
Model Rows D2R DR VDD2
1 D2R 55,114(xx) -54,612 -,838(xy)
DR -54,612 55,114(xx) 1,785(xy)
VDD2 ,838(yx) -1,785(yx) ,075(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DR D2R
1 1 2,931 1,000 ,00 ,00 ,00
2 6,871E-02 6,531 ,02 ,00 ,02
3 4,411E-04 81,512 ,98 1,00 ,98
a Dependent Variable: VDD2

EQUATION 15

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2H / ORIGIN / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2H.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,00

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 D2H(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume
c Linear Regression through the Origin





Model Summary

R R Square(a) Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,999(b) ,998 ,998 3,08631E-03 ,998 179777,689 1 349 ,000 -4045,548 ,002 1,000 -4041,690
a For regression through the origin (the no-intercept model), R Square measures the proportion of the variability in the dependent variable about the origin explained by regression. This CANNOT be compared to R Square for models which include an intercept.
b Predictors: D2H

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,712 1 1,712 179777,689 ,000(a)
Residual 3,324E-03 349 9,525E-06

Total 1,716(b) 350


a Predictors: D2H
b This total sum of squares is not corrected for the constant because the constant is zero for regression through the origin.
c Dependent Variable: total volume
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D2H ,369 ,001 ,999 ,002 424,002 ,000 ,367 ,370 ,999 ,999 ,999 1,000 1,000
a Dependent Variable: total volume
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model D2H
1 Correlations D2H 1,000
Covariances D2H 7,561E-07
a Dependent Variable: total volume
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows D2H total volume
1 D2H 1,000(xx) -,999(xy)
total volume ,999(yx) ,002(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D2H
1 1 1,000 1,000 1,00
a Dependent Variable: total volume
b Linear Regression through the Origin

EQUATION 16

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES v D2H / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2H.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,00

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2H(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,997(a) ,995 ,995 3,02160E-03 ,995 63868,272 1 348 ,000 -4059,385 ,005 2,000 -4051,669
a Predictors: (Constant), D2H

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,583 1 ,583 63868,272 ,000(a)
Residual 3,177E-03 348 9,130E-06

Total ,586 349


a Predictors: (Constant), D2H
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 1,097E-03 ,000

4,014 ,000 ,001 ,002




D2H ,364 ,001 ,997 ,004 252,722 ,000 ,361 ,367 ,997 ,997 ,997 1,000 1,000
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D2H
1 Correlations D2H 1,000
Covariances D2H 2,075E-06
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2H total volume
1 D2H 1,000(xx) -,997(xy)
total volume ,997(yx) ,005(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2H
1 1 1,807 1,000 ,10 ,10
2 ,193 3,057 ,90 ,90
a Dependent Variable: total volume

EQUATION 17

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2 H / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2 H.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 H, D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,994(a) ,987 ,987 4,62183E-03 ,987 13549,862 2 347 ,000 -3760,888 ,013 3,000 -3749,315
a Predictors: (Constant), H, D2

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,579 2 ,289 13549,862 ,000(a)
Residual 7,412E-03 347 2,136E-05

Total ,586 349


a Predictors: (Constant), H, D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -2,457E-02 ,002

-15,703 ,000 -,028 -,021




D2 8,432 ,104 1,027 ,013 80,865 ,000 8,227 8,637 ,993 ,974 ,488 ,226 4,429
H -5,469E-04 ,000 -,038 ,013 -3,019 ,003 -,001 ,000 ,866 -,160 -,018 ,226 4,429
a Dependent Variable: total volume

Coefficient Correlations(a)
Model H D2
1 Correlations H 1,000 -,880
D2 -,880 1,000
Covariances H 3,283E-08 -1,662E-05
D2 -1,662E-05 1,087E-02
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows H D2 total volume
1 H 4,429(xx) -3,897 ,038(xy)
D2 -3,897 4,429(xx) -1,027(xy)
total volume -,038(yx) 1,027(yx) ,013(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2 H
1 1 2,896 1,000 ,00 ,00 ,00
2 9,722E-02 5,458 ,11 ,24 ,00
3 6,495E-03 21,117 ,88 ,76 1,00
a Dependent Variable: total volume

EQUATION 18

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2 H D2H / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2 H D2H.
Resources Memory Required 2124 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2H, H, D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,995 ,995 2,82476E-03 ,995 24377,214 3 346 ,000 -4104,556 ,005 4,000 -4089,124
a Predictors: (Constant), D2H, H, D2

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,584 3 ,195 24377,214 ,000(a)
Residual 2,761E-03 346 7,979E-06

Total ,586 349


a Predictors: (Constant), D2H, H, D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -2,069E-03 ,001

-1,549 ,122 -,005 ,001




D2 1,924 ,277 ,234 ,034 6,944 ,000 1,379 2,468 ,993 ,350 ,026 ,012 83,671
H -4,082E-04 ,000 -,029 ,008 -3,681 ,000 -,001 ,000 ,866 -,194 -,014 ,225 4,441
D2H ,288 ,012 ,789 ,033 24,144 ,000 ,265 ,312 ,997 ,792 ,089 ,013 78,544
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D2H H D2
1 Correlations D2H 1,000 ,052 -,973
H ,052 1,000 -,253
D2 -,973 -,253 1,000
Covariances D2H 1,424E-04 6,856E-08 -3,217E-03
H 6,856E-08 1,230E-08 -7,758E-06
D2 -3,217E-03 -7,758E-06 7,673E-02
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2H H D2 total volume
1 D2H 78,544(xx) ,968 -78,892 -,789(xy)
H ,968 4,441(xx) -4,869 ,029(xy)
D2 -78,892 -4,869 83,671(xx) -,234(xy)
total volume ,789(yx) -,029(yx) ,234(yx) ,005(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2 H D2H
1 1 3,766 1,000 ,00 ,00 ,00 ,00
2 ,226 4,079 ,02 ,00 ,00 ,01
3 6,745E-03 23,627 ,56 ,01 ,97 ,01
4 1,415E-03 51,586 ,41 ,99 ,02 ,98
a Dependent Variable: total volume

EQUATION 19

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D D2 DH D2H / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D D2 DH D2H.
Resources Memory Required 2388 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2H, D, DH, D2(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,996 ,996 2,73086E-03 ,996 19568,163 4 345 ,000 -4127,234 ,005 5,000 -4107,944
a Predictors: (Constant), D2H, D, DH, D2

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,584 4 ,146 19568,163 ,000(a)
Residual 2,573E-03 345 7,458E-06

Total ,586 349


a Predictors: (Constant), D2H, D, DH, D2
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 4,613E-02 ,011

4,226 ,000 ,025 ,068




D -1,410 ,307 -,736 ,160 -4,598 ,000 -2,013 -,807 ,964 -,240 -,016 ,000 2014,886
D2 10,120 1,774 1,233 ,216 5,704 ,000 6,630 13,610 ,993 ,294 ,020 ,000 3673,200
DH 3,186E-02 ,008 ,475 ,120 3,960 ,000 ,016 ,048 ,969 ,209 ,014 ,001 1129,990
D2H 7,450E-03 ,064 ,020 ,176 ,116 ,908 -,119 ,134 ,997 ,006 ,000 ,000 2441,581
a Dependent Variable: total volume

Coefficient Correlations(a)
Model D2H D DH D2
1 Correlations D2H 1,000 ,983 -,978 -,996
D ,983 1,000 -,990 -,988
DH -,978 -,990 1,000 ,971
D2 -,996 -,988 ,971 1,000
Covariances D2H 4,138E-03 1,940E-02 -5,061E-04 -,114
D 1,940E-02 9,401E-02 -2,443E-03 -,537
DH -5,061E-04 -2,443E-03 6,472E-05 1,387E-02
D2 -,114 -,537 1,387E-02 3,148
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2H D DH D2 total volume
1 D2H 2441,581(xx) 2181,205 -1624,397 -2982,956 -,020(xy)
D 2181,205 2014,886(xx) -1494,484 -2687,679 ,736(xy)
DH -1624,397 -1494,484 1129,990(xx) 1979,037 -,475(xy)
D2 -2982,956 -2687,679 1979,037 3673,200(xx) -1,233(xy)
total volume ,020(yx) -,736(yx) ,475(yx) 1,233(yx) ,004(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D D2 DH D2H
1 1 4,766 1,000 ,00 ,00 ,00 ,00 ,00
2 ,227 4,585 ,00 ,00 ,00 ,00 ,00
3 5,866E-03 28,502 ,00 ,00 ,00 ,01 ,00
4 1,768E-03 51,925 ,01 ,00 ,01 ,01 ,02
5 1,172E-05 637,668 ,98 1,00 ,99 ,98 ,98
a Dependent Variable: total volume

EQUATION 20

Regression

Notes
Output Created 19-OCT-2004 09:38:21
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D2 H2 D2H DH2 / STATISTICS = all/ DEPENDENT = v / METHOD = ENTER D2 H2 D2H DH2.
Resources Memory Required 2388 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DH2, H2, D2, D2H(a) , Enter
a All requested variables entered.
b Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,995 ,995 2,76840E-03 ,995 19038,675 4 345 ,000 -4117,676 ,005 5,000 -4098,386
a Predictors: (Constant), DH2, H2, D2, D2H

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,584 4 ,146 19038,675 ,000(a)
Residual 2,644E-03 345 7,664E-06

Total ,586 349


a Predictors: (Constant), DH2, H2, D2, D2H
b Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -4,486E-03 ,001

-4,134 ,000 -,007 -,002




D2 ,485 ,430 ,059 ,052 1,126 ,261 -,362 1,331 ,993 ,061 ,004 ,005 210,207
H2 6,932E-05 ,000 ,135 ,047 2,856 ,005 ,000 ,000 ,903 ,152 ,010 ,006 171,797
D2H ,439 ,040 1,202 ,109 10,987 ,000 ,360 ,517 ,997 ,509 ,040 ,001 915,798
DH2 -1,175E-03 ,000 -,394 ,108 -3,661 ,000 -,002 -,001 ,976 -,193 -,013 ,001 884,318
a Dependent Variable: total volume

Coefficient Correlations(a)
Model DH2 H2 D2 D2H
1 Correlations DH2 1,000 -,983 ,791 -,955
H2 -,983 1,000 -,784 ,928
D2 ,791 -,784 1,000 -,931
D2H -,955 ,928 -,931 1,000
Covariances DH2 1,030E-07 -7,652E-09 1,092E-04 -1,224E-05
H2 -7,652E-09 5,889E-10 -8,191E-06 8,992E-07
D2 1,092E-04 -8,191E-06 ,185 -1,599E-02
D2H -1,224E-05 8,992E-07 -1,599E-02 1,595E-03
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows DH2 H2 D2 D2H total volume
1 DH2 884,318(xx) -383,009 341,108 -859,134 ,394(xy)
H2 -383,009 171,797(xx) -149,067 368,036 -,135(xy)
D2 341,108 -149,067 210,207(xx) -408,312 -,059(xy)
D2H -859,134 368,036 -408,312 915,798(xx) -1,202(xy)
total volume -,394(yx) ,135(yx) ,059(yx) 1,202(yx) ,005(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2 H2 D2H DH2
1 1 4,735 1,000 ,00 ,00 ,00 ,00 ,00
2 ,240 4,438 ,05 ,00 ,00 ,00 ,00
3 2,186E-02 14,719 ,03 ,01 ,02 ,00 ,00
4 2,212E-03 46,266 ,91 ,20 ,04 ,01 ,04
5 1,378E-04 185,365 ,00 ,80 ,93 ,98 ,96
a Dependent Variable: total volume

EQUATION 21

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = v D H D2 H2 DH TO DHl / STATISTICS = all/ DEPENDENT = v / METHOD = STEPWISE.
Resources Memory Required 14004 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(a)
Model Variables Entered Variables Removed Method
1 D2H , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 D2 , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
3 HDD2 , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: total volume





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,997(a) ,995 ,995 3,02160E-03 ,995 63868,272 1 348 ,000 -4059,385 ,005 113,919 -4051,669(b)
2 ,998(c) ,995 ,995 2,87540E-03 ,001 37,288 1 347 ,000 -4093,108 ,005 71,292 -4081,534(b)
3 ,998(d) ,996 ,995 2,76105E-03 ,000 30,338 1 346 ,000 -4120,525 ,005 39,814 -4105,093(b)
a Predictors: (Constant), D2H
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, H, DH, D2H, DH2, DR, HR, D2R, DHR, DL, DL2, HL, HL2, D2L, D2HL
c Predictors: (Constant), D2H, D2
d Predictors: (Constant), D2H, D2, HDD2

ANOVA(d)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,583 1 ,583 63868,272 ,000(a)
Residual 3,177E-03 348 9,130E-06

Total ,586 349


2 Regression ,583 2 ,292 35282,700 ,000(b)
Residual 2,869E-03 347 8,268E-06

Total ,586 349


3 Regression ,584 3 ,195 25520,614 ,000(c)
Residual 2,638E-03 346 7,623E-06

Total ,586 349


a Predictors: (Constant), D2H
b Predictors: (Constant), D2H, D2
c Predictors: (Constant), D2H, D2, HDD2
d Dependent Variable: total volume



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 1,097E-03 ,000

4,014 ,000 ,001 ,002




D2H ,364 ,001 ,997 ,004 252,722 ,000 ,361 ,367 ,997 ,997 ,997 1,000 1,000
2 (Constant) -5,160E-03 ,001

-4,881 ,000 -,007 -,003




D2H ,290 ,012 ,796 ,033 23,939 ,000 ,267 ,314 ,997 ,789 ,090 ,013 78,333
D2 1,666 ,273 ,203 ,033 6,106 ,000 1,129 2,203 ,993 ,311 ,023 ,013 78,333
3 (Constant) -3,449E-02 ,005

-6,362 ,000 -,045 -,024




D2H ,213 ,018 ,584 ,050 11,704 ,000 ,177 ,249 ,997 ,533 ,042 ,005 191,629
D2 3,951 ,491 ,481 ,060 8,052 ,000 2,986 4,916 ,993 ,397 ,029 ,004 274,821
HDD2 1,243E-05 ,000 ,075 ,014 5,508 ,000 ,000 ,000 -,871 ,284 ,020 ,070 14,290
a Dependent Variable: total volume





Excluded Variables(d)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D ,028(a) 1,865 ,063 ,100 6,899E-02 14,496 6,899E-02
H -,015(a) -1,869 ,062 -,100 ,241 4,158 ,241
D2 ,203(a) 6,106 ,000 ,311 1,277E-02 78,333 1,277E-02
H2 -,032(a) -3,341 ,001 -,177 ,170 5,889 ,170
DH -,030(a) -1,744 ,082 -,093 5,230E-02 19,122 5,230E-02
DH2 -,111(a) -5,382 ,000 -,278 3,393E-02 29,476 3,393E-02
D2H2 -,166(a) -4,606 ,000 -,240 1,135E-02 88,103 1,135E-02
DR -,006(a) -,803 ,422 -,043 ,294 3,402 ,294
HR ,002(a) ,285 ,776 ,015 ,437 2,287 ,437
D2R -,005(a) -,756 ,450 -,041 ,410 2,439 ,410
DHR -,002(a) -,375 ,708 -,020 ,474 2,110 ,474
D2HR -,003(a) -,565 ,573 -,030 ,554 1,804 ,554
HDD -,012(a) -3,074 ,002 -,163 ,999 1,001 ,999
HDD2 -,018(a) -2,239 ,026 -,119 ,246 4,073 ,246
DL ,010(a) 1,018 ,309 ,055 ,173 5,768 ,173
DL2 -,007(a) -,867 ,386 -,047 ,228 4,390 ,228
HL -,006(a) -,893 ,373 -,048 ,333 3,007 ,333
HL2 -,009(a) -1,212 ,226 -,065 ,295 3,391 ,295
D2L ,010(a) 1,018 ,309 ,055 ,173 5,768 ,173
D2HL ,002(a) ,199 ,842 ,011 ,217 4,606 ,217
DHL -,001(a) -,136 ,892 -,007 ,243 4,109 ,243
2 D -,108(b) -4,800 ,000 -,250 2,609E-02 38,336 4,827E-03
H -,029(b) -3,681 ,000 -,194 ,225 4,441 1,195E-02
H2 -,035(b) -3,923 ,000 -,206 ,169 5,911 1,233E-02
DH -,071(b) -4,188 ,000 -,220 4,651E-02 21,499 1,135E-02
DH2 -,092(b) -4,555 ,000 -,238 3,286E-02 30,428 7,851E-03
D2H2 ,155(b) 1,894 ,059 ,101 2,090E-03 478,403 5,886E-04
DR ,040(b) 4,453 ,000 ,233 ,163 6,132 7,082E-03
HR ,021(b) 3,434 ,001 ,182 ,350 2,857 1,022E-02
D2R ,032(b) 4,245 ,000 ,222 ,238 4,198 7,415E-03
DHR ,024(b) 3,698 ,000 ,195 ,326 3,064 8,789E-03
D2HR ,022(b) 3,688 ,000 ,195 ,368 2,720 8,465E-03
HDD -,008(b) -2,071 ,039 -,111 ,963 1,038 1,230E-02
HDD2 ,075(b) 5,508 ,000 ,284 6,998E-02 14,290 3,639E-03
DL -,057(b) -4,642 ,000 -,242 8,804E-02 11,358 6,483E-03
DL2 ,048(b) 4,571 ,000 ,239 ,122 8,203 6,831E-03
HL -,024(b) -3,539 ,000 -,187 ,286 3,499 1,097E-02
HL2 -,026(b) -3,579 ,000 -,189 ,262 3,818 1,134E-02
D2L -,057(b) -4,642 ,000 -,242 8,804E-02 11,358 6,483E-03
D2HL -,040(b) -4,124 ,000 -,216 ,145 6,878 8,550E-03
DHL -,034(b) -3,935 ,000 -,207 ,178 5,609 9,353E-03
3 D -,042(c) -1,337 ,182 -,072 1,297E-02 77,120 3,587E-03
H -,008(c) -,857 ,392 -,046 ,156 6,410 3,146E-03
H2 -,008(c) -,731 ,465 -,039 ,104 9,659 2,602E-03
DH -,021(c) -,992 ,322 -,053 2,780E-02 35,971 3,025E-03
DH2 -,029(c) -1,028 ,305 -,055 1,650E-02 60,602 1,636E-03
D2H2 ,020(c) ,240 ,810 ,013 1,882E-03 531,250 5,870E-04
DR ,014(c) 1,172 ,242 ,063 9,198E-02 10,872 3,598E-03
HR ,009(c) 1,294 ,197 ,069 ,286 3,494 3,599E-03
D2R ,011(c) 1,145 ,253 ,062 ,146 6,830 3,609E-03
DHR ,010(c) 1,355 ,176 ,073 ,254 3,932 3,632E-03
D2HR ,009(c) 1,375 ,170 ,074 ,288 3,467 3,638E-03
HDD -,003(c) -,769 ,442 -,041 ,901 1,110 3,281E-03
DL -,021(c) -1,237 ,217 -,066 4,607E-02 21,707 3,615E-03
DL2 ,017(c) 1,203 ,230 ,065 6,545E-02 15,279 3,598E-03
HL -,008(c) -1,061 ,289 -,057 ,217 4,607 3,459E-03
HL2 -,008(c) -,965 ,335 -,052 ,192 5,199 3,361E-03
D2L -,021(c) -1,237 ,217 -,066 4,607E-02 21,707 3,615E-03
D2HL -,013(c) -1,142 ,254 -,061 9,375E-02 10,666 3,547E-03
DHL -,011(c) -1,114 ,266 -,060 ,122 8,195 3,519E-03
a Predictors in the Model: (Constant), D2H
b Predictors in the Model: (Constant), D2H, D2
c Predictors in the Model: (Constant), D2H, D2, HDD2
d Dependent Variable: total volume

Coefficient Correlations(a)
Model D2H D2 HDD2
1 Correlations D2H 1,000

Covariances D2H 2,075E-06

2 Correlations D2H 1,000 -,994
D2 -,994 1,000
Covariances D2H 1,472E-04 -3,289E-03
D2 -3,289E-03 7,443E-02
3 Correlations D2H 1,000 -,989 -,769
D2 -,989 1,000 ,846
HDD2 -,769 ,846 1,000
Covariances D2H 3,320E-04 -8,845E-03 -3,161E-08
D2 -8,845E-03 ,241 9,361E-07
HDD2 -3,161E-08 9,361E-07 5,090E-12
a Dependent Variable: total volume

Swept Correlation Matrix(a)

Columns
Model Rows D2H total volume D H D2 H2 DH DH2 D2H2 DR HR D2R DHR D2HR HDD HDD2 DL DL2 HL HL2 D2L D2HL DHL
1 D2H 1,000(xx) -,997(xy) -,965(x~) -,871(x~) -,994(x~) -,911(x~) -,974(x~) -,983(x~) -,994(x~) ,840(x~) ,750(x~) ,768(x~) ,725(x~) ,668(x~) ,023(x~) ,869(x~) -,909(x~) ,879(x~) -,817(x~) -,840(x~) -,909(x~) -,885(x~) -,870(x~)
total volume ,997(yx) ,005(yy) ,002(y~) -,004(y~) ,003(y~) -,005(y~) -,002(y~) -,004(y~) -,002(y~) -,002(y~) ,001(y~) -,002(y~) -,001(y~) -,002(y~) -,012(y~) -,004(y~) ,002(y~) -,002(y~) -,002(y~) -,003(y~) ,002(y~) ,000(y~) ,000(y~)
D ,965(~x) ,002(~y) ,069(~~) ,100 ,023 ,071 ,050 ,022 -,026 -,138 -,147 -,159 -,161 -,172 ,094 -,117 ,108 -,123 ,127 ,117 ,108 ,116 ,119
H ,871(~x) -,004(~y) ,100 ,241(~~) ,014 ,196 ,110 ,077 -,031 -,230 -,305 -,268 -,298 -,306 ,411 -,121 ,174 -,202 ,278 ,264 ,174 ,213 ,230
D2 ,994(~x) ,003(~y) ,023 ,014 ,013(~~) ,003 ,009 -,004 -,011 -,041 -,033 -,047 -,043 -,049 -,022 -,047 ,033 -,037 ,024 ,021 ,033 ,030 ,029
H2 ,911(~x) -,005(~y) ,071 ,196 ,003 ,170(~~) ,091 ,072 -,019 -,166 -,228 -,191 -,214 -,215 ,349 -,078 ,126 -,147 ,216 ,209 ,126 ,160 ,175
DH ,974(~x) -,002(~y) ,050 ,110 ,009 ,091 ,052(~~) ,036 -,016 -,109 -,137 -,126 -,136 -,139 ,169 -,068 ,085 -,097 ,126 ,121 ,085 ,100 ,107
DH2 ,983(~x) -,004(~y) ,022 ,077 -,004 ,072 ,036 ,034(~~) -,004 -,055 -,079 -,062 -,070 -,068 ,145 -,020 ,042 -,049 ,080 ,079 ,042 ,056 ,062
D2H2 ,994(~x) -,002(~y) -,026 -,031 -,011 -,019 -,016 -,004 ,011(~~) ,049 ,050 ,056 ,056 ,059 -,020 ,044 -,039 ,044 -,042 -,038 -,039 -,040 -,041
DR -,840(~x) -,002(~y) -,138 -,230 -,041 -,166 -,109 -,055 ,049 ,294(~~) ,336 ,345 ,362 ,388 -,282 ,222 -,224 ,258 -,288 -,266 -,224 -,249 -,260
HR -,750(~x) ,001(~y) -,147 -,305 -,033 -,228 -,137 -,079 ,050 ,336 ,437(~~) ,402 ,448 ,476 -,507 ,191 -,251 ,292 -,376 -,349 -,251 -,298 -,320
D2R -,768(~x) -,002(~y) -,159 -,268 -,047 -,191 -,126 -,062 ,056 ,345 ,402 ,410(~~) ,433 ,468 -,345 ,254 -,261 ,302 -,340 -,313 -,261 -,292 -,305
DHR -,725(~x) -,001(~y) -,161 -,298 -,043 -,214 -,136 -,070 ,056 ,362 ,448 ,433 ,474(~~) ,510 -,451 ,232 -,270 ,314 -,378 -,348 -,270 -,311 -,330
D2HR -,668(~x) -,002(~y) -,172 -,306 -,049 -,215 -,139 -,068 ,059 ,388 ,476 ,468 ,510 ,554(~~) -,452 ,256 -,288 ,335 -,395 -,361 -,288 -,329 -,348
HDD -,023(~x) -,012(~y) ,094 ,411 -,022 ,349 ,169 ,145 -,020 -,282 -,507 -,345 -,451 -,452 ,999(~~) ,014 ,198 -,239 ,465 ,446 ,198 ,295 ,341
HDD2 -,869(~x) -,004(~y) -,117 -,121 -,047 -,078 -,068 -,020 ,044 ,222 ,191 ,254 ,232 ,256 ,014 ,246(~~) -,177 ,199 -,160 -,146 -,177 -,172 -,170
DL ,909(~x) ,002(~y) ,108 ,174 ,033 ,126 ,085 ,042 -,039 -,224 -,251 -,261 -,270 -,288 ,198 -,177 ,173(~~) -,199 ,217 ,201 ,173 ,190 ,198
DL2 -,879(~x) -,002(~y) -,123 -,202 -,037 -,147 -,097 -,049 ,044 ,258 ,292 ,302 ,314 ,335 -,239 ,199 -,199 ,228(~~) -,252 -,233 -,199 -,219 -,229
HL ,817(~x) -,002(~y) ,127 ,278 ,024 ,216 ,126 ,080 -,042 -,288 -,376 -,340 -,378 -,395 ,465 -,160 ,217 -,252 ,333(~~) ,312 ,217 ,260 ,280
HL2 ,840(~x) -,003(~y) ,117 ,264 ,021 ,209 ,121 ,079 -,038 -,266 -,349 -,313 -,348 -,361 ,446 -,146 ,201 -,233 ,312 ,295(~~) ,201 ,243 ,262
D2L ,909(~x) ,002(~y) ,108 ,174 ,033 ,126 ,085 ,042 -,039 -,224 -,251 -,261 -,270 -,288 ,198 -,177 ,173 -,199 ,217 ,201 ,173(~~) ,190 ,198
D2HL ,885(~x) ,000(~y) ,116 ,213 ,030 ,160 ,100 ,056 -,040 -,249 -,298 -,292 -,311 -,329 ,295 -,172 ,190 -,219 ,260 ,243 ,190 ,217(~~) ,229
DHL ,870(~x) ,000(~y) ,119 ,230 ,029 ,175 ,107 ,062 -,041 -,260 -,320 -,305 -,330 -,348 ,341 -,170 ,198 -,229 ,280 ,262 ,198 ,229 ,243(~~)
2 D2H 78,333(xx) -,796(xy) ,857(x~) ,218(x~) -77,832 -,688(x~) -,305(x~) -1,269(x~) -1,841(x~) -2,341(x~) -1,846(x~) -2,878(x~) -2,654(x~) -3,133(x~) -1,658(x~) -2,816(x~) 1,659(x~) -1,983(x~) 1,084(x~) ,758(x~) 1,659(x~) 1,470(x~) 1,373(x~)
total volume ,796(yx) ,005(yy) -,003(y~) -,006(y~) ,203(yx) -,006(y~) -,003(y~) -,003(y~) ,000(y~) ,007(y~) ,008(y~) ,008(y~) ,008(y~) ,008(y~) -,008(y~) ,005(y~) -,005(y~) ,006(y~) -,007(y~) -,007(y~) -,005(y~) -,006(y~) -,006(y~)
D -,857(~x) -,003(~y) ,026(~~) ,075 1,833(~x) ,066 ,034 ,029 -,006 -,063 -,086 -,073 -,082 -,083 ,133 -,030 ,048 -,056 ,082 ,079 ,048 ,060 ,066
H -,218(~x) -,006(~y) ,075 ,225(~~) 1,096(~x) ,193 ,101 ,082 -,020 -,185 -,268 -,216 -,251 -,253 ,435 -,070 ,138 -,162 ,251 ,242 ,138 ,179 ,199
D2 -77,832 -,203(xy) -1,833(x~) -1,096(x~) 78,333(xx) -,225(x~) -,673(x~) ,288(x~) ,852(x~) 3,202(x~) 2,613(x~) 3,669(x~) 3,401(x~) 3,825(x~) 1,692(x~) 3,708(x~) -2,585(x~) 2,880(x~) -1,914(x~) -1,608(x~) -2,585(x~) -2,370(x~) -2,257(x~)
H2 ,688(~x) -,006(~y) ,066 ,193 ,225(~x) ,169(~~) ,089 ,073 -,017 -,157 -,220 -,181 -,205 -,204 ,354 -,068 ,119 -,139 ,211 ,205 ,119 ,153 ,169
DH ,305(~x) -,003(~y) ,034 ,101 ,673(~x) ,089 ,047(~~) ,039 -,009 -,082 -,114 -,094 -,106 -,106 ,183 -,036 ,062 -,073 ,110 ,107 ,062 ,080 ,088
DH2 1,269(~x) -,003(~y) ,029 ,082 -,288(~x) ,073 ,039 ,033(~~) -,007 -,066 -,089 -,075 -,083 -,082 ,139 -,034 ,051 -,059 ,087 ,085 ,051 ,064 ,071
D2H2 1,841(~x) ,000(~y) -,006 -,020 -,852(~x) -,017 -,009 -,007 ,002(~~) ,014 ,021 ,016 ,019 ,018 -,039 ,004 -,011 ,013 -,021 -,021 -,011 -,015 -,016
DR 2,341(~x) ,007(~y) -,063 -,185 -3,202(~x) -,157 -,082 -,066 ,014 ,163(~~) ,230 ,196 ,223 ,231 -,351 ,071 -,119 ,141 -,210 -,200 -,119 -,152 -,168
HR 1,846(~x) ,008(~y) -,086 -,268 -2,613(~x) -,220 -,114 -,089 ,021 ,230 ,350(~~) ,279 ,335 ,348 -,563 ,067 -,165 ,196 -,312 -,296 -,165 -,219 -,244
D2R 2,878(~x) ,008(~y) -,073 -,216 -3,669(~x) -,181 -,094 -,075 ,016 ,196 ,279 ,238(~~) ,274 ,289 -,424 ,080 -,140 ,167 -,250 -,237 -,140 -,181 -,200
DHR 2,654(~x) ,008(~y) -,082 -,251 -3,401(~x) -,205 -,106 -,083 ,019 ,223 ,335 ,274 ,326(~~) ,344 -,524 ,071 -,158 ,189 -,295 -,278 -,158 -,208 -,232
D2HR 3,133(~x) ,008(~y) -,083 -,253 -3,825(~x) -,204 -,106 -,082 ,018 ,231 ,348 ,289 ,344 ,368(~~) -,535 ,074 -,162 ,195 -,302 -,282 -,162 -,214 -,238
HDD 1,658(~x) -,008(~y) ,133 ,435 -1,692(~x) ,354 ,183 ,139 -,039 -,351 -,563 -,424 -,524 -,535 ,963(~~) -,066 ,254 -,301 ,507 ,480 ,254 ,346 ,390
HDD2 2,816(~x) ,005(~y) -,030 -,070 -3,708(~x) -,068 -,036 -,034 ,004 ,071 ,067 ,080 ,071 ,074 -,066 ,070(~~) -,054 ,063 -,069 -,070 -,054 -,060 -,063
DL -1,659(~x) -,005(~y) ,048 ,138 2,585(~x) ,119 ,062 ,051 -,011 -,119 -,165 -,140 -,158 -,162 ,254 -,054 ,088(~~) -,103 ,154 ,148 ,088 ,112 ,124
DL2 1,983(~x) ,006(~y) -,056 -,162 -2,880(~x) -,139 -,073 -,059 ,013 ,141 ,196 ,167 ,189 ,195 -,301 ,063 -,103 ,122(~~) -,181 -,174 -,103 -,132 -,146
HL -1,084(~x) -,007(~y) ,082 ,251 1,914(~x) ,211 ,110 ,087 -,021 -,210 -,312 -,250 -,295 -,302 ,507 -,069 ,154 -,181 ,286(~~) ,273 ,154 ,202 ,225
HL2 -,758(~x) -,007(~y) ,079 ,242 1,608(~x) ,205 ,107 ,085 -,021 -,200 -,296 -,237 -,278 -,282 ,480 -,070 ,148 -,174 ,273 ,262(~~) ,148 ,194 ,215
D2L -1,659(~x) -,005(~y) ,048 ,138 2,585(~x) ,119 ,062 ,051 -,011 -,119 -,165 -,140 -,158 -,162 ,254 -,054 ,088 -,103 ,154 ,148 ,088(~~) ,112 ,124
D2HL -1,470(~x) -,006(~y) ,060 ,179 2,370(~x) ,153 ,080 ,064 -,015 -,152 -,219 -,181 -,208 -,214 ,346 -,060 ,112 -,132 ,202 ,194 ,112 ,145(~~) ,161
DHL -1,373(~x) -,006(~y) ,066 ,199 2,257(~x) ,169 ,088 ,071 -,016 -,168 -,244 -,200 -,232 -,238 ,390 -,063 ,124 -,146 ,225 ,215 ,124 ,161 ,178(~~)
3 D2H 191,629(xx) -,584(xy) -,363(x~) -2,582(x~) -227,034 -3,415(x~) -1,761(x~) -2,631(x~) -1,687(x~) ,497(x~) ,844(x~) ,347(x~) ,203(x~) -,137(x~) -4,318(x~) -40,237 -,521(x~) ,546(x~) -1,706(x~) -2,049(x~) -,521(x~) -,949(x~) -1,152(x~)
total volume ,584(yx) ,004(yy) -,001(y~) -,001(y~) ,481(yx) -,001(y~) -,001(y~) ,000(y~) ,000(y~) ,001(y~) ,002(y~) ,002(y~) ,002(y~) ,003(y~) -,003(y~) ,075(yx) -,001(y~) ,001(y~) -,002(y~) -,002(y~) -,001(y~) -,001(y~) -,001(y~)
D ,363(~x) -,001(~y) ,013(~~) ,045 ,228(~x) ,036 ,019 ,014 -,005 -,033 -,057 -,039 -,051 -,050 ,105 -,433(~x) ,024 -,028 ,052 ,049 ,024 ,034 ,039
H 2,582(~x) -,001(~y) ,045 ,156(~~) -2,591(~x) ,126 ,065 ,048 -,016 -,115 -,201 -,137 -,180 -,179 ,369 -,994(~x) ,084 -,099 ,182 ,173 ,084 ,120 ,136
D2 -227,034 -,481(xy) -,228(x~) 2,591(x~) 274,821(xx) 3,367(x~) 1,244(x~) 2,081(x~) ,650(x~) -,536(x~) -,930(x~) -,577(x~) -,361(x~) -,121(x~) 5,194(x~) 52,989 ,287(x~) -,450(x~) 1,761(x~) 2,089(x~) ,287(x~) ,815(x~) 1,068(x~)
H2 3,415(~x) -,001(~y) ,036 ,126 -3,367(~x) ,104(~~) ,054 ,040 -,013 -,089 -,155 -,103 -,136 -,132 ,290 -,969(~x) ,066 -,078 ,143 ,137 ,066 ,095 ,108
DH 1,761(~x) -,001(~y) ,019 ,065 -1,244(~x) ,054 ,028(~~) ,021 -,007 -,045 -,080 -,053 -,070 -,067 ,149 -,517(~x) ,034 -,040 ,074 ,071 ,034 ,049 ,055
DH2 2,631(~x) ,000(~y) ,014 ,048 -2,081(~x) ,040 ,021 ,017(~~) -,005 -,032 -,057 -,036 -,048 -,046 ,107 -,484(~x) ,025 -,029 ,053 ,052 ,025 ,035 ,040
D2H2 1,687(~x) ,000(~y) -,005 -,016 -,650(~x) -,013 -,007 -,005 ,002(~~) ,010 ,018 ,011 ,015 ,014 -,035 ,055(~x) -,008 ,009 -,017 -,017 -,008 -,011 -,013
DR -,497(~x) ,001(~y) -,033 -,115 ,536(~x) -,089 -,045 -,032 ,010 ,092(~~) ,162 ,115 ,151 ,156 -,285 1,008(~x) -,064 ,077 -,140 -,130 -,064 -,092 -,105
HR -,844(~x) ,002(~y) -,057 -,201 ,930(~x) -,155 -,080 -,057 ,018 ,162 ,286(~~) ,203 ,267 ,277 -,500 ,956(~x) -,113 ,136 -,246 -,229 -,113 -,162 -,184
D2R -,347(~x) ,002(~y) -,039 -,137 ,577(~x) -,103 -,053 -,036 ,011 ,115 ,203 ,146(~~) ,193 ,203 -,349 1,145(~x) -,078 ,095 -,171 -,157 -,078 -,112 -,128
DHR -,203(~x) ,002(~y) -,051 -,180 ,361(~x) -,136 -,070 -,048 ,015 ,151 ,267 ,193 ,254(~~) ,269 -,457 1,015(~x) -,103 ,125 -,225 -,207 -,103 -,147 -,168
D2HR ,137(~x) ,003(~y) -,050 -,179 ,121(~x) -,132 -,067 -,046 ,014 ,156 ,277 ,203 ,269 ,288(~~) -,465 1,064(~x) -,104 ,128 -,228 -,208 -,104 -,150 -,171
HDD 4,318(~x) -,003(~y) ,105 ,369 -5,194(~x) ,290 ,149 ,107 -,035 -,285 -,500 -,349 -,457 -,465 ,901(~~) -,945(~x) ,203 -,242 ,441 ,414 ,203 ,290 ,331
HDD2 -40,237 -,075(xy) ,433(x~) ,994(x~) 52,989 ,969(x~) ,517(x~) ,484(x~) -,055(x~) -1,008(x~) -,956(x~) -1,145(x~) -1,015(x~) -1,064(x~) ,945(x~) 14,290(xx) ,774(x~) -,898(x~) ,991(x~) ,997(x~) ,774(x~) ,859(x~) ,897(x~)
DL ,521(~x) -,001(~y) ,024 ,084 -,287(~x) ,066 ,034 ,025 -,008 -,064 -,113 -,078 -,103 -,104 ,203 -,774(~x) ,046(~~) -,055 ,100 ,094 ,046 ,066 ,075
DL2 -,546(~x) ,001(~y) -,028 -,099 ,450(~x) -,078 -,040 -,029 ,009 ,077 ,136 ,095 ,125 ,128 -,242 ,898(~x) -,055 ,065(~~) -,119 -,112 -,055 -,078 -,089
HL 1,706(~x) -,002(~y) ,052 ,182 -1,761(~x) ,143 ,074 ,053 -,017 -,140 -,246 -,171 -,225 -,228 ,441 -,991(~x) ,100 -,119 ,217(~~) ,204 ,100 ,143 ,163
HL2 2,049(~x) -,002(~y) ,049 ,173 -2,089(~x) ,137 ,071 ,052 -,017 -,130 -,229 -,157 -,207 -,208 ,414 -,997(~x) ,094 -,112 ,204 ,192(~~) ,094 ,134 ,153
D2L ,521(~x) -,001(~y) ,024 ,084 -,287(~x) ,066 ,034 ,025 -,008 -,064 -,113 -,078 -,103 -,104 ,203 -,774(~x) ,046 -,055 ,100 ,094 ,046(~~) ,066 ,075
D2HL ,949(~x) -,001(~y) ,034 ,120 -,815(~x) ,095 ,049 ,035 -,011 -,092 -,162 -,112 -,147 -,150 ,290 -,859(~x) ,066 -,078 ,143 ,134 ,066 ,094(~~) ,107
DHL 1,152(~x) -,001(~y) ,039 ,136 -1,068(~x) ,108 ,055 ,040 -,013 -,105 -,184 -,128 -,168 -,171 ,331 -,897(~x) ,075 -,089 ,163 ,153 ,075 ,107 ,122(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: total volume



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2H D2 HDD2
1 1 1,807 1,000 ,10 ,10

2 ,193 3,057 ,90 ,90

2 1 2,796 1,000 ,00 ,00 ,00
2 ,203 3,712 ,07 ,01 ,00
3 1,443E-03 44,020 ,93 ,99 1,00
3 1 3,602 1,000 ,00 ,00 ,00 ,00
2 ,393 3,027 ,00 ,00 ,00 ,00
3 4,593E-03 28,006 ,04 ,09 ,03 ,14
4 2,753E-04 114,378 ,96 ,90 ,97 ,86
a Dependent Variable: total volume

EQUATION 22

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Vl D2Hl / STATISTICS = all/ DEPENDENT = vl / METHOD = ENTER D2Hl.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2HL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,997 ,997 3,418E-02 ,997 108503,329 1 348 ,000 -2361,325 ,003 2,000 -2353,609
a Predictors: (Constant), D2HL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,747 1 126,747 108503,329 ,000(a)
Residual ,407 348 1,168E-03

Total 127,154 349


a Predictors: (Constant), D2HL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -1,028 ,006

-160,153 ,000 -1,041 -1,016




D2HL ,979 ,003 ,998 ,003 329,398 ,000 ,973 ,984 ,998 ,998 ,998 1,000 1,000
a Dependent Variable: VL

Coefficient Correlations(a)
Model D2HL
1 Correlations D2HL 1,000
Covariances D2HL 8,825E-06
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows D2HL VL
1 D2HL 1,000(xx) -,998(xy)
VL ,998(yx) ,003(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2HL
1 1 1,959 1,000 ,02 ,02
2 4,132E-02 6,885 ,98 ,98
a Dependent Variable: VL

EQUATION 23

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl DHl / STATISTICS = all/ DEPENDENT vl / METHOD = ENTER DHl.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DHL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,997(a) ,993 ,993 4,973E-02 ,993 51075,921 1 348 ,000 -2098,867 ,007 2,000 -2091,151
a Predictors: (Constant), DHL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,293 1 126,293 51075,921 ,000(a)
Residual ,860 348 2,473E-03

Total 127,154 349


a Predictors: (Constant), DHL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -3,414 ,003

-1103,335 ,000 -3,421 -3,408




DHL 1,445 ,006 ,997 ,004 226,000 ,000 1,432 1,457 ,997 ,997 ,997 1,000 1,000
a Dependent Variable: VL

Coefficient Correlations(a)
Model DHL
1 Correlations DHL 1,000
Covariances DHL 4,086E-05
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows DHL VL
1 DHL 1,000(xx) -,997(xy)
VL ,997(yx) ,007(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DHL
1 1 1,512 1,000 ,24 ,24
2 ,488 1,761 ,76 ,76
a Dependent Variable: VL

EQUATION 24

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl Dl Hl / STATISTICS = all/ DEPENDENT vl / METHOD = ENTER Dl Hl.
Resources Memory Required 1884 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 HL, DL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,997 ,997 3,335E-02 ,997 56976,086 2 347 ,000 -2377,425 ,003 3,000 -2365,851
a Predictors: (Constant), HL, DL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,768 2 63,384 56976,086 ,000(a)
Residual ,386 347 1,112E-03

Total 127,154 349


a Predictors: (Constant), HL, DL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -,403 ,146

-2,765 ,006 -,690 -,116




DL 2,090 ,032 ,696 ,011 66,251 ,000 2,028 2,152 ,995 ,963 ,196 ,079 12,611
HL ,855 ,029 ,311 ,011 29,640 ,000 ,799 ,912 ,979 ,847 ,088 ,079 12,611
a Dependent Variable: VL

Coefficient Correlations(a)
Model HL DL
1 Correlations HL 1,000 -,960
DL -,960 1,000
Covariances HL 8,327E-04 -8,736E-04
DL -8,736E-04 9,953E-04
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows HL DL VL
1 HL 12,611(xx) -12,100 -,311(xy)
DL -12,100 12,611(xx) -,696(xy)
VL ,311(yx) ,696(yx) ,003(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL HL
1 1 2,986 1,000 ,00 ,00 ,00
2 1,437E-02 14,413 ,00 ,02 ,02
3 9,940E-05 173,304 1,00 ,98 ,98
a Dependent Variable: VL

EQUATION 25

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl Dl Hl Dl2 Hl2 / STATISTICS = all/ DEPENDENT = vl / METHOD = ENTER Dl Hl Dl2 Hl2.
Resources Memory Required 2388 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 HL2, DL, DL2, HL(a) , Enter
a All requested variables entered.
b Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,997 ,997 3,327E-02 ,997 28632,133 4 345 ,000 -2377,202 ,003 5,000 -2357,912
a Predictors: (Constant), HL2, DL, DL2, HL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,772 4 31,693 28632,133 ,000(a)
Residual ,382 345 1,107E-03

Total 127,154 349


a Predictors: (Constant), HL2, DL, DL2, HL
b Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -,442 ,206

-2,148 ,032 -,848 -,037




DL 1,714 ,249 ,571 ,083 6,884 ,000 1,224 2,203 ,995 ,348 ,020 ,001 789,101
HL ,647 ,271 ,235 ,099 2,387 ,018 ,114 1,180 ,979 ,127 ,007 ,001 1118,125
DL2 -9,360E-02 ,059 -,142 ,090 -1,589 ,113 -,209 ,022 -,996 -,085 -,005 ,001 923,290
HL2 3,140E-02 ,051 ,058 ,094 ,619 ,537 -,068 ,131 ,982 ,033 ,002 ,001 1014,390
a Dependent Variable: VL

Coefficient Correlations(a)
Model HL2 DL DL2 HL
1 Correlations HL2 1,000 -,829 -,803 -,991
DL -,829 1,000 ,990 ,854
DL2 -,803 ,990 1,000 ,846
HL -,991 ,854 ,846 1,000
Covariances HL2 2,577E-03 -1,047E-02 -2,402E-03 -1,363E-02
DL -1,047E-02 6,197E-02 1,452E-02 5,765E-02
DL2 -2,402E-03 1,452E-02 3,470E-03 1,351E-02
HL -1,363E-02 5,765E-02 1,351E-02 7,347E-02
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows HL2 DL DL2 HL VL
1 HL2 1014,390(xx) -741,301 -777,295 -1055,076 -,058(xy)
DL -741,301 789,101(xx) 845,387 802,597 -,571(xy)
DL2 -777,295 845,387 923,290(xx) 860,057 ,142(xy)
HL -1055,076 802,597 860,057 1118,125(xx) -,235(xy)
VL ,058(yx) ,571(yx) -,142(yx) ,235(yx) ,003(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL HL DL2 HL2
1 1 4,931 1,000 ,00 ,00 ,00 ,00 ,00
2 6,880E-02 8,465 ,00 ,00 ,00 ,00 ,00
3 2,783E-04 133,115 ,15 ,00 ,00 ,02 ,02
4 3,208E-05 392,068 ,56 ,11 ,04 ,11 ,05
5 3,232E-06 1235,244 ,29 ,89 ,96 ,87 ,93
a Dependent Variable: VL

EQUATION 26

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vl D H D2 DH TO DHl / STATISTICS = all/ DEPENDENT vl / METHOD = STEPWISE.
Resources Memory Required 13100 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,03

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(a)
Model Variables Entered Variables Removed Method
1 D2HL , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 HDD2 , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: VL





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(a) ,997 ,997 3,418E-02 ,997 108503,329 1 348 ,000 -2361,325 ,003 36,221 -2353,609(b)
2 ,998(c) ,997 ,997 3,324E-02 ,000 20,977 1 347 ,000 -2379,868 ,003 16,432 -2368,294(b)
a Predictors: (Constant), D2HL
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, H, DH, D2H, DR, HR, D2R, DHR, DL, DL2, HL, HL2, D2L, D2HL
c Predictors: (Constant), D2HL, HDD2

ANOVA(c)
Model Sum of Squares df Mean Square F Sig.
1 Regression 126,747 1 126,747 108503,329 ,000(a)
Residual ,407 348 1,168E-03

Total 127,154 349


2 Regression 126,771 2 63,385 57376,493 ,000(b)
Residual ,383 347 1,105E-03

Total 127,154 349


a Predictors: (Constant), D2HL
b Predictors: (Constant), D2HL, HDD2
c Dependent Variable: VL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -1,028 ,006

-160,153 ,000 -1,041 -1,016




D2HL ,979 ,003 ,998 ,003 329,398 ,000 ,973 ,984 ,998 ,998 ,998 1,000 1,000
2 (Constant) -,971 ,014

-69,198 ,000 -,998 -,943




D2HL ,942 ,009 ,961 ,009 110,442 ,000 ,925 ,959 ,998 ,986 ,326 ,115 8,713
HDD2 -9,713E-05 ,000 -,040 ,009 -4,580 ,000 ,000 ,000 -,944 -,239 -,014 ,115 8,713
a Dependent Variable: VL





Excluded Variables(c)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D ,031(a) 2,566 ,011 ,136 6,014E-02 16,627 6,014E-02
H -,066(a) -4,008 ,000 -,210 3,229E-02 30,969 3,229E-02
D2 ,015(a) 2,022 ,044 ,108 ,173 5,781 ,173
DH ,002(a) ,176 ,861 ,009 7,544E-02 13,256 7,544E-02
D2H ,006(a) ,998 ,319 ,053 ,217 4,606 ,217
DH2 -,003(a) -,435 ,664 -,023 ,144 6,958 ,144
D2H2 ,003(a) ,465 ,642 ,025 ,295 3,385 ,295
DR -,048(a) -1,923 ,055 -,103 1,445E-02 69,210 1,445E-02
HR ,036(a) 3,332 ,001 ,176 7,478E-02 13,373 7,478E-02
D2R -,003(a) -,212 ,832 -,011 5,646E-02 17,712 5,646E-02
DHR ,018(a) 1,818 ,070 ,097 9,168E-02 10,907 9,168E-02
D2HR ,011(a) 1,386 ,167 ,074 ,154 6,502 ,154
HDD -,013(a) -4,200 ,000 -,220 ,924 1,082 ,924
HDD2 -,040(a) -4,580 ,000 -,239 ,115 8,713 ,115
DL ,126(a) 4,291 ,000 ,224 1,009E-02 99,086 1,009E-02
DL2 -,163(a) -4,344 ,000 -,227 6,199E-03 161,318 6,199E-03
HL -,069(a) -4,291 ,000 -,224 3,377E-02 29,608 3,377E-02
HL2 -,077(a) -4,428 ,000 -,231 2,861E-02 34,954 2,861E-02
D2L ,126(a) 4,291 ,000 ,224 1,009E-02 99,086 1,009E-02
DHL -,262(a) -4,291 ,000 -,224 2,351E-03 425,407 2,351E-03
2 D ,004(b) ,285 ,776 ,015 4,399E-02 22,734 4,399E-02
H -,020(b) -,777 ,438 -,042 1,297E-02 77,111 6,519E-03
D2 ,002(b) ,315 ,753 ,017 ,147 6,810 9,744E-02
DH -,003(b) -,261 ,794 -,014 7,474E-02 13,380 5,191E-02
D2H ,000(b) -,022 ,982 -,001 ,206 4,861 9,617E-02
DH2 -,004(b) -,565 ,572 -,030 ,144 6,963 6,978E-02
D2H2 -,001(b) -,266 ,790 -,014 ,288 3,476 ,101
DR ,001(b) ,052 ,959 ,003 1,165E-02 85,848 1,165E-02
HR ,005(b) ,369 ,712 ,020 4,038E-02 24,764 1,594E-02
D2R ,002(b) ,184 ,854 ,010 5,602E-02 17,849 4,236E-02
DHR ,003(b) ,331 ,741 ,018 8,117E-02 12,320 3,625E-02
D2HR ,003(b) ,394 ,694 ,021 ,146 6,855 5,540E-02
HDD -,002(b) -,238 ,812 -,013 ,179 5,601 2,051E-02
DL ,033(b) ,523 ,601 ,028 2,141E-03 467,048 2,141E-03
DL2 -,035(b) -,362 ,717 -,019 9,513E-04 1051,159 9,513E-04
HL -,018(b) -,523 ,601 -,028 7,165E-03 139,559 3,373E-03
HL2 -,028(b) -,661 ,509 -,035 5,010E-03 199,585 2,458E-03
D2L ,033(b) ,523 ,601 ,028 2,141E-03 467,048 2,141E-03
DHL -,069(b) -,523 ,601 -,028 4,987E-04 2005,181 3,974E-04
a Predictors in the Model: (Constant), D2HL
b Predictors in the Model: (Constant), D2HL, HDD2
c Dependent Variable: VL

Coefficient Correlations(a)
Model D2HL HDD2
1 Correlations D2HL 1,000
Covariances D2HL 8,825E-06
2 Correlations D2HL 1,000 ,941
HDD2 ,941 1,000
Covariances D2HL 7,272E-05 1,701E-07
HDD2 1,701E-07 4,497E-10
a Dependent Variable: VL

Swept Correlation Matrix(a)

Columns
Model Rows D2HL VL D H D2 DH D2H DH2 D2H2 DR HR D2R DHR D2HR HDD HDD2 DL DL2 HL HL2 D2L DHL
1 D2HL 1,000(xx) -,998(xy) -,969(x~) -,984(x~) -,909(x~) -,962(x~) -,885(x~) -,925(x~) -,839(x~) ,993(x~) ,962(x~) ,971(x~) ,953(x~) ,920(x~) -,275(x~) ,941(x~) -,995(x~) ,997(x~) -,983(x~) -,986(x~) -,995(x~) -,999(x~)
VL ,998(yx) ,003(yy) ,002(y~) -,002(y~) ,003(y~) ,000(y~) ,001(y~) -,001(y~) ,001(y~) -,001(y~) ,003(y~) ,000(y~) ,002(y~) ,002(y~) -,012(y~) -,005(y~) ,001(y~) -,001(y~) -,002(y~) -,002(y~) ,001(y~) -,001(y~)
D ,969(~x) ,002(~y) ,060(~~) -,012 ,100 ,057 ,107 ,073 ,120 ,014 ,061 ,041 ,063 ,075 -,195 -,043 ,021 -,004 -,038 -,028 ,021 -,010
H ,984(~x) -,002(~y) -,012 ,032(~~) -,015 ,013 ,001 ,024 ,009 ,015 -,012 ,018 ,007 ,017 ,121 ,047 -,012 ,013 ,023 ,027 -,012 ,006
D2 ,909(~x) ,003(~y) ,100 -,015 ,173(~~) ,101 ,189 ,131 ,214 ,027 ,096 ,073 ,103 ,124 -,294 -,055 ,032 -,003 -,058 -,041 ,032 -,015
DH ,962(~x) ,000(~y) ,057 ,013 ,101 ,075(~~) ,123 ,103 ,145 ,027 ,058 ,061 ,075 ,096 -,118 -,009 ,013 ,006 -,024 -,010 ,013 -,006
D2H ,885(~x) ,001(~y) ,107 ,001 ,189 ,123 ,217(~~) ,164 ,252 ,038 ,101 ,091 ,118 ,146 -,266 -,036 ,029 ,003 -,053 -,032 ,029 -,014
DH2 ,925(~x) -,001(~y) ,073 ,024 ,131 ,103 ,164 ,144(~~) ,197 ,038 ,073 ,082 ,099 ,127 -,132 -,003 ,015 ,010 -,027 -,007 ,015 -,007
D2H2 ,839(~x) ,001(~y) ,120 ,009 ,214 ,145 ,252 ,197 ,295(~~) ,047 ,111 ,107 ,135 ,168 -,274 -,030 ,030 ,007 -,055 -,030 ,030 -,014
DR -,993(~x) -,001(~y) ,014 ,015 ,027 ,027 ,038 ,038 ,047 ,014(~~) ,012 ,027 ,025 ,036 ,010 ,018 -,001 ,007 ,001 ,007 -,001 ,000
HR -,962(~x) ,003(~y) ,061 -,012 ,096 ,058 ,101 ,073 ,111 ,012 ,075(~~) ,043 ,076 ,092 -,225 -,063 ,024 -,008 -,044 -,031 ,024 -,012
D2R -,971(~x) ,000(~y) ,041 ,018 ,073 ,061 ,091 ,082 ,107 ,027 ,043 ,056(~~) ,065 ,087 -,060 ,007 ,007 ,008 -,013 ,000 ,007 -,003
DHR -,953(~x) ,002(~y) ,063 ,007 ,103 ,075 ,118 ,099 ,135 ,025 ,076 ,065 ,092(~~) ,118 -,172 -,035 ,019 ,001 -,034 -,017 ,019 -,009
D2HR -,920(~x) ,002(~y) ,075 ,017 ,124 ,096 ,146 ,127 ,168 ,036 ,092 ,087 ,118 ,154(~~) -,184 -,030 ,020 ,005 -,037 -,015 ,020 -,010
HDD ,275(~x) -,012(~y) -,195 ,121 -,294 -,118 -,266 -,132 -,274 ,010 -,225 -,060 -,172 -,184 ,924(~~) ,293 -,096 ,055 ,177 ,155 -,096 ,047
HDD2 -,941(~x) -,005(~y) -,043 ,047 -,055 -,009 -,036 -,003 -,030 ,018 -,063 ,007 -,035 -,030 ,293 ,115(~~) -,030 ,025 ,055 ,052 -,030 ,015
DL ,995(~x) ,001(~y) ,021 -,012 ,032 ,013 ,029 ,015 ,030 -,001 ,024 ,007 ,019 ,020 -,096 -,030 ,010(~~) -,006 -,018 -,016 ,010 -,005
DL2 -,997(~x) -,001(~y) -,004 ,013 -,003 ,006 ,003 ,010 ,007 ,007 -,008 ,008 ,001 ,005 ,055 ,025 -,006 ,006(~~) ,010 ,011 -,006 ,003
HL ,983(~x) -,002(~y) -,038 ,023 -,058 -,024 -,053 -,027 -,055 ,001 -,044 -,013 -,034 -,037 ,177 ,055 -,018 ,010 ,034(~~) ,030 -,018 ,009
HL2 ,986(~x) -,002(~y) -,028 ,027 -,041 -,010 -,032 -,007 -,030 ,007 -,031 ,000 -,017 -,015 ,155 ,052 -,016 ,011 ,030 ,029(~~) -,016 ,008
D2L ,995(~x) ,001(~y) ,021 -,012 ,032 ,013 ,029 ,015 ,030 -,001 ,024 ,007 ,019 ,020 -,096 -,030 ,010 -,006 -,018 -,016 ,010(~~) -,005
DHL ,999(~x) -,001(~y) -,010 ,006 -,015 -,006 -,014 -,007 -,014 ,000 -,012 -,003 -,009 -,010 ,047 ,015 -,005 ,003 ,009 ,008 -,005 ,002(~~)
2 D2HL 8,713(xx) -,961(xy) -,616(x~) -1,370(x~) -,461(x~) -,888(x~) -,589(x~) -,898(x~) -,595(x~) ,846(x~) 1,477(x~) ,913(x~) 1,238(x~) 1,167(x~) -2,674(x~) 8,198 -,747(x~) ,796(x~) -1,436(x~) -1,412(x~) -,747(x~) -1,118(x~)
VL ,961(yx) ,003(yy) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) -,001(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) -,040(yx) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~)
D ,616(~x) ,000(~y) ,044(~~) ,005 ,080 ,054 ,094 ,072 ,108 ,020 ,038 ,044 ,050 ,064 -,085 -,375(~x) ,009 ,005 -,017 -,009 ,009 -,005
H 1,370(~x) ,000(~y) ,005 ,013(~~) ,008 ,016 ,016 ,025 ,022 ,007 ,014 ,016 ,022 ,029 ,001 ,410(~x) ,000 ,003 ,000 ,005 ,000 ,000
D2 ,461(~x) ,000(~y) ,080 ,008 ,147(~~) ,097 ,172 ,130 ,200 ,036 ,066 ,077 ,086 ,110 -,155 -,477(~x) ,017 ,008 -,031 -,017 ,017 -,008
DH ,888(~x) ,000(~y) ,054 ,016 ,097 ,075(~~) ,120 ,103 ,142 ,028 ,053 ,061 ,072 ,094 -,095 -,078(~x) ,011 ,008 -,019 -,006 ,011 -,005
D2H ,589(~x) ,000(~y) ,094 ,016 ,172 ,120 ,206(~~) ,163 ,242 ,044 ,081 ,094 ,107 ,137 -,174 -,315(~x) ,019 ,011 -,035 -,016 ,019 -,009
DH2 ,898(~x) -,001(~y) ,072 ,025 ,130 ,103 ,163 ,144(~~) ,196 ,039 ,072 ,083 ,098 ,127 -,123 -,029(~x) ,014 ,011 -,025 -,006 ,014 -,007
D2H2 ,595(~x) ,000(~y) ,108 ,022 ,200 ,142 ,242 ,196 ,288(~~) ,051 ,095 ,109 ,125 ,160 -,198 -,260(~x) ,022 ,013 -,040 -,017 ,022 -,011
DR -,846(~x) ,000(~y) ,020 ,007 ,036 ,028 ,044 ,039 ,051 ,012(~~) ,022 ,025 ,030 ,040 -,036 ,156(~x) ,004 ,003 -,007 -,001 ,004 -,002
HR -1,477(~x) ,000(~y) ,038 ,014 ,066 ,053 ,081 ,072 ,095 ,022 ,040(~~) ,047 ,057 ,075 -,065 -,547(~x) ,007 ,006 -,013 -,003 ,007 -,004
D2R -,913(~x) ,000(~y) ,044 ,016 ,077 ,061 ,094 ,083 ,109 ,025 ,047 ,056(~~) ,067 ,089 -,078 ,062(~x) ,009 ,007 -,016 -,003 ,009 -,004
DHR -1,238(~x) ,000(~y) ,050 ,022 ,086 ,072 ,107 ,098 ,125 ,030 ,057 ,067 ,081(~~) ,108 -,084 -,303(~x) ,009 ,008 -,017 -,002 ,009 -,005
D2HR -1,167(~x) ,000(~y) ,064 ,029 ,110 ,094 ,137 ,127 ,160 ,040 ,075 ,089 ,108 ,146(~~) -,107 -,263(~x) ,012 ,011 -,022 -,001 ,012 -,006
HDD 2,674(~x) ,000(~y) -,085 ,001 -,155 -,095 -,174 -,123 -,198 -,036 -,065 -,078 -,084 -,107 ,179(~~) 2,549(~x) -,019 -,007 ,036 ,023 -,019 ,009
HDD2 8,198 ,040(xy) ,375(x~) -,410(x~) ,477(x~) ,078(x~) ,315(x~) ,029(x~) ,260(x~) -,156(x~) ,547(x~) -,062(x~) ,303(x~) ,263(x~) -2,549(x~) 8,713(xx) ,263(x~) -,214(x~) -,482(x~) -,453(x~) ,263(x~) -,127(x~)
DL ,747(~x) ,000(~y) ,009 ,000 ,017 ,011 ,019 ,014 ,022 ,004 ,007 ,009 ,009 ,012 -,019 -,263(~x) ,002(~~) ,001 -,004 -,002 ,002 -,001
DL2 -,796(~x) ,000(~y) ,005 ,003 ,008 ,008 ,011 ,011 ,013 ,003 ,006 ,007 ,008 ,011 -,007 ,214(~x) ,001 ,001(~~) -,002 ,000 ,001 ,000
HL 1,436(~x) ,000(~y) -,017 ,000 -,031 -,019 -,035 -,025 -,040 -,007 -,013 -,016 -,017 -,022 ,036 ,482(~x) -,004 -,002 ,007(~~) ,004 -,004 ,002
HL2 1,412(~x) ,000(~y) -,009 ,005 -,017 -,006 -,016 -,006 -,017 -,001 -,003 -,003 -,002 -,001 ,023 ,453(~x) -,002 ,000 ,004 ,005(~~) -,002 ,001
D2L ,747(~x) ,000(~y) ,009 ,000 ,017 ,011 ,019 ,014 ,022 ,004 ,007 ,009 ,009 ,012 -,019 -,263(~x) ,002 ,001 -,004 -,002 ,002(~~) -,001
DHL 1,118(~x) ,000(~y) -,005 ,000 -,008 -,005 -,009 -,007 -,011 -,002 -,004 -,004 -,005 -,006 ,009 ,127(~x) -,001 ,000 ,002 ,001 -,001 ,000(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: VL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2HL HDD2
1 1 1,959 1,000 ,02 ,02
2 4,132E-02 6,885 ,98 ,98
2 1 2,956 1,000 ,00 ,00 ,00
2 4,170E-02 8,420 ,21 ,10 ,00
3 2,356E-03 35,418 ,79 ,90 1,00
a Dependent Variable: VL

EQUATION 27

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2H D2Hr / STATISTICS = all/ DEPENDENT = vdD2H / METHOD = ENTER D2Hr.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2HR(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2H





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,360(a) ,130 ,127 1,273E-02 ,130 51,904 1 348 ,000 -3052,585 ,880 2,000 -3044,869
a Predictors: (Constant), D2HR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 8,413E-03 1 8,413E-03 51,904 ,000(a)
Residual 5,641E-02 348 1,621E-04

Total 6,482E-02 349


a Predictors: (Constant), D2HR
b Dependent Variable: VDD2H



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) ,367 ,001

292,504 ,000 ,364 ,369




D2HR 7,930E-04 ,000 ,360 ,050 7,204 ,000 ,001 ,001 ,360 ,360 ,360 1,000 1,000
a Dependent Variable: VDD2H

Coefficient Correlations(a)
Model D2HR
1 Correlations D2HR 1,000
Covariances D2HR 1,212E-08
a Dependent Variable: VDD2H

Swept Correlation Matrix(a)

Columns
Model Rows D2HR VDD2H
1 D2HR 1,000(xx) -,360(xy)
VDD2H ,360(yx) ,870(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2HR
1 1 1,840 1,000 ,08 ,08
2 ,160 3,387 ,92 ,92
a Dependent Variable: VDD2H

EQUATION 28

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2H D2r Hr D2Hr / STATISTICS = all/ DEPENDENT = vdD2H / METHOD = ENTER D2r Hr D2Hr.
Resources Memory Required 2124 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2HR, HR, D2R(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2H





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,425(a) ,181 ,174 1,239E-02 ,181 25,468 3 346 ,000 -3069,760 ,838 4,000 -3054,329
a Predictors: (Constant), D2HR, HR, D2R

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,172E-02 3 3,908E-03 25,468 ,000(a)
Residual 5,310E-02 346 1,535E-04

Total 6,482E-02 349


a Predictors: (Constant), D2HR, HR, D2R
b Dependent Variable: VDD2H



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) ,331 ,009

36,932 ,000 ,313 ,349




D2R -2,379E-04 ,000 -,765 ,282 -2,716 ,007 ,000 ,000 ,348 -,144 -,132 ,030 33,506
HR ,900 ,195 1,185 ,257 4,608 ,000 ,516 1,284 ,391 ,240 ,224 ,036 27,939
D2HR -1,036E-04 ,001 -,047 ,275 -,171 ,864 -,001 ,001 ,360 -,009 -,008 ,031 31,898
a Dependent Variable: VDD2H

Coefficient Correlations(a)
Model D2HR HR D2R
1 Correlations D2HR 1,000 -,434 -,569
HR -,434 1,000 -,477
D2R -,569 -,477 1,000
Covariances D2HR 3,659E-07 -5,132E-05 -3,014E-08
HR -5,132E-05 3,814E-02 -8,162E-06
D2R -3,014E-08 -8,162E-06 7,672E-09
a Dependent Variable: VDD2H

Swept Correlation Matrix(a)

Columns
Model Rows D2HR HR D2R VDD2H
1 D2HR 31,898(xx) -12,970 -18,595 ,047(xy)
HR -12,970 27,939(xx) -14,599 -1,185(xy)
D2R -18,595 -14,599 33,506(xx) ,765(xy)
VDD2H -,047(yx) 1,185(yx) -,765(yx) ,819(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D2R HR D2HR
1 1 3,824 1,000 ,00 ,00 ,00 ,00
2 ,171 4,725 ,02 ,00 ,00 ,02
3 3,249E-03 34,307 ,15 ,77 ,00 ,79
4 1,258E-03 55,138 ,83 ,23 1,00 ,19
a Dependent Variable: VDD2H

EQUATION 29

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2H DHr Hr Dr D2r D2Hr / STATISTICS = all/ DEPENDENT = vdD2H / METHOD = ENTER DHr TO D2Hr.
Resources Memory Required 2692 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2HR, DR, HR, D2R(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: VDD2H





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,427(a) ,183 ,173 1,239E-02 ,183 19,259 4 345 ,000 -3068,469 ,841 5,000 -3049,179(b)
a Predictors: (Constant), D2HR, DR, HR, D2R
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: DHR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,183E-02 4 2,958E-03 19,259 ,000(a)
Residual 5,299E-02 345 1,536E-04

Total 6,482E-02 349


a Predictors: (Constant), D2HR, DR, HR, D2R
b Dependent Variable: VDD2H



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) ,315 ,021

15,185 ,000 ,274 ,356




HR ,757 ,260 ,997 ,342 2,917 ,004 ,247 1,268 ,391 ,155 ,142 ,020 49,295
DR 5,302E-03 ,006 ,792 ,947 ,836 ,404 -,007 ,018 ,345 ,045 ,041 ,003 378,251
D2R -5,938E-04 ,000 -1,909 1,397 -1,366 ,173 -,001 ,000 ,348 -,073 -,067 ,001 824,191
D2HR 1,118E-03 ,002 ,508 ,718 ,707 ,480 -,002 ,004 ,360 ,038 ,034 ,005 217,724
a Dependent Variable: VDD2H





Excluded Variables(b)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 DHR -8,727(a) -1,533 ,126 -,082 7,284E-05 13728,839 7,284E-05
a Predictors in the Model: (Constant), D2HR, DR, HR, D2R
b Dependent Variable: VDD2H

Coefficient Correlations(a)
Model D2HR DR HR D2R
1 Correlations D2HR 1,000 ,924 -,733 -,949
DR ,924 1,000 -,658 -,979
HR -,733 -,658 1,000 ,572
D2R -,949 -,979 ,572 1,000
Covariances D2HR 2,500E-06 9,261E-06 -3,009E-04 -6,519E-07
DR 9,261E-06 4,020E-05 -1,083E-03 -2,699E-06
HR -3,009E-04 -1,083E-03 6,735E-02 6,454E-05
D2R -6,519E-07 -2,699E-06 6,454E-05 1,889E-07
a Dependent Variable: VDD2H

Swept Correlation Matrix(a)

Columns
Model Rows D2HR DR HR D2R VDD2H DHR
1 D2HR 217,724(xx) 265,120 -75,965 -401,909 -,508(xy) -,523(x~)
DR 265,120 378,251(xx) -89,876 -546,880 -,792(xy) -,135(x~)
HR -75,965 -89,876 49,295(xx) 115,345 -,997(xy) -,344(x~)
D2R -401,909 -546,880 115,345 824,191(xx) 1,909(xy) -,008(x~)
VDD2H ,508(yx) ,792(yx) ,997(yx) -1,909(yx) ,817(yy) -,001(y~)
DHR ,523(~x) ,135(~x) ,344(~x) ,008(~x) -,001(~y) ,000(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: VDD2H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) HR DR D2R D2HR
1 1 4,814 1,000 ,00 ,00 ,00 ,00 ,00
2 ,180 5,171 ,00 ,00 ,00 ,00 ,00
3 4,320E-03 33,385 ,04 ,01 ,00 ,01 ,07
4 1,266E-03 61,659 ,15 ,58 ,00 ,01 ,04
5 5,509E-05 295,622 ,80 ,41 1,00 ,98 ,89
a Dependent Variable: VDD2H

EQUATION 30

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2H Hr DHr HdD2 D2Hr / STATISTICS = all/ DEPENDENT = vdD2H / METHOD = ENTER Hr TO D2Hr.
Resources Memory Required 2388 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2HR, HDD2, HR(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: VDD2H





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,420(a) ,177 ,170 1,242E-02 ,177 24,754 3 346 ,000 -3067,980 ,842 4,000 -3052,548(b)
a Predictors: (Constant), D2HR, HDD2, HR
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: DHR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,145E-02 3 3,818E-03 24,754 ,000(a)
Residual 5,337E-02 346 1,542E-04

Total 6,482E-02 349


a Predictors: (Constant), D2HR, HDD2, HR
b Dependent Variable: VDD2H



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) ,341 ,010

35,788 ,000 ,322 ,360




HR ,740 ,177 ,974 ,232 4,192 ,000 ,393 1,087 ,391 ,220 ,204 ,044 22,709
HDD2 -1,184E-05 ,000 -,215 ,091 -2,363 ,019 ,000 ,000 ,262 -,126 -,115 ,287 3,483
D2HR -9,060E-04 ,001 -,412 ,228 -1,805 ,072 -,002 ,000 ,360 -,097 -,088 ,046 21,849
a Dependent Variable: VDD2H





Excluded Variables(b)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 DHR -11,858(a) -2,088 ,038 -,112 7,308E-05 13683,370 7,308E-05
a Predictors in the Model: (Constant), D2HR, HDD2, HR
b Dependent Variable: VDD2H

Coefficient Correlations(a)
Model D2HR HDD2 HR
1 Correlations D2HR 1,000 -,111 -,921
HDD2 -,111 1,000 -,223
HR -,921 -,223 1,000
Covariances D2HR 2,519E-07 -2,799E-10 -8,161E-05
HDD2 -2,799E-10 2,510E-11 -1,973E-07
HR -8,161E-05 -1,973E-07 3,116E-02
a Dependent Variable: VDD2H

Swept Correlation Matrix(a)

Columns
Model Rows D2HR HDD2 HR VDD2H DHR
1 D2HR 21,849(xx) -,971 -20,519 ,412(xy) -,523(x~)
HDD2 -,971 3,483(xx) -1,985 ,215(xy) -,067(x~)
HR -20,519 -1,985 22,709(xx) -,974(xy) -,426(x~)
VDD2H -,412(yx) -,215(yx) ,974(yx) ,823(yy) -,001(y~)
DHR ,523(~x) ,067(~x) ,426(~x) -,001(~y) ,000(~~)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
x~ Row variable is an independent variable, column variable is an excluded independent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
y~ Row variable is the dependent variable, column variable is an excluded independent variable.
~x Row variable is an excluded independent variable, column variable is an independent variable.
~y Row variable is an excluded independent variable, column variable is the dependent variable.
~~ This variable is an excluded predictor.
a Dependent Variable: VDD2H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) HR HDD2 D2HR
1 1 3,819 1,000 ,00 ,00 ,00 ,00
2 ,173 4,701 ,01 ,00 ,00 ,05
3 6,308E-03 24,607 ,16 ,03 ,99 ,02
4 1,458E-03 51,187 ,84 ,97 ,00 ,93
a Dependent Variable: VDD2H

EQUATION 31

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = vdD2 H / STATISTICS = all/ DEPENDENT = vdD2 / METHOD = ENTER H.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 H(a) , Enter
a All requested variables entered.
b Dependent Variable: VDD2





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,983(a) ,967 ,967 ,1850 ,967 10235,388 1 348 ,000 -1179,366 ,033 2,000 -1171,651
a Predictors: (Constant), H

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 350,125 1 350,125 10235,388 ,000(a)
Residual 11,904 348 3,421E-02

Total 362,029 349


a Predictors: (Constant), H
b Dependent Variable: VDD2



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) ,326 ,047

6,927 ,000 ,233 ,419




H ,349 ,003 ,983 ,010 101,170 ,000 ,342 ,355 ,983 ,983 ,983 1,000 1,000
a Dependent Variable: VDD2

Coefficient Correlations(a)
Model H
1 Correlations H 1,000
Covariances H 1,187E-05
a Dependent Variable: VDD2

Swept Correlation Matrix(a)

Columns
Model Rows H VDD2
1 H 1,000(xx) -,983(xy)
VDD2 ,983(yx) ,033(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: VDD2



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) H
1 1 1,978 1,000 ,01 ,01
2 2,232E-02 9,414 ,99 ,99
a Dependent Variable: VDD2

EQUATION 32

Regression

Notes
Output Created 19-OCT-2004 09:38:22
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\VolumeTable\v_h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = D2Hdv D / STATISTICS = all/ DEPENDENT = D2Hdv / METHOD = ENTER D.
Resources Memory Required 1684 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

Warnings
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D(a) , Enter
a All requested variables entered.
b Dependent Variable: D2HDV





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,322(a) ,104 ,101 9,384E-02 ,104 40,365 1 348 ,000 -1654,292 ,906 2,000 -1646,576
a Predictors: (Constant), D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression ,355 1 ,355 40,365 ,000(a)
Residual 3,065 348 8,807E-03

Total 3,420 349


a Predictors: (Constant), D
b Dependent Variable: D2HDV



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 2,527 ,024

104,982 ,000 2,480 2,575




D 1,491 ,235 ,322 ,051 6,353 ,000 1,030 1,953 ,322 ,322 ,322 1,000 1,000
a Dependent Variable: D2HDV

Coefficient Correlations(a)
Model D
1 Correlations D 1,000
Covariances D 5,510E-02
a Dependent Variable: D2HDV

Swept Correlation Matrix(a)

Columns
Model Rows D D2HDV
1 D 1,000(xx) -,322(xy)
D2HDV ,322(yx) ,896(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: D2HDV



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D
1 1 1,978 1,000 ,01 ,01
2 2,195E-02 9,493 ,99 ,99
a Dependent Variable: D2HDV