EQUATION 1

>Command line: 348  Current case: 1901  Current splitfile group: 1

>Command line: 349  Current case: 1901  Current splitfile group: 1

>Command line: 350  Current case: 1901  Current splitfile group: 1

>Command line: 351  Current case: 1901  Current splitfile group: 1

>Command line: 352  Current case: 1901  Current splitfile group: 1

>Command line: 348  Current case: 1942  Current splitfile group: 1

>Command line: 349  Current case: 1942  Current splitfile group: 1

>Command line: 350  Current case: 1942  Current splitfile group: 1

>Command line: 351  Current case: 1942  Current splitfile group: 1

>Command line: 352  Current case: 1942  Current splitfile group: 1



Regression

Notes
Output Created 19-OCT-2004 09:41:51
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT dhi /METHOD=
ENTER hi.
Resources Memory Required 2228 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,47

Warnings
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
During the execution of the indicated command, an attempt was made to raise a non-positive number to a fractional power, e.g. (-3)**2.5. The result has been set to the system-missing value.
The limit of MXWARNS warnings in this data pass has been printed. Further warnings have been suppressed.
STATISTICS keywords LINE, END, and HISTORY are no longer supported.

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





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 ,761(a) ,579 ,578 2,6144E-02 ,579 4044,262 1 2945 ,000 -21476,543 ,422 2,000 -21464,566
a Predictors: (Constant), HI

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2,764 1 2,764 4044,262 ,000(a)
Residual 2,013 2945 6,835E-04

Total 4,777 2946


a Predictors: (Constant), HI
b Dependent Variable: DHI



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) ,113 ,001

150,875 ,000 ,112 ,115




HI -6,657E-03 ,000 -,761 ,012 -63,595 ,000 -,007 -,006 -,761 -,761 -,761 1,000 1,000
a Dependent Variable: DHI

Coefficient Correlations(a)
Model HI
1 Correlations HI 1,000
Covariances HI 1,096E-08
a Dependent Variable: DHI

Swept Correlation Matrix(a)

Columns
Model Rows HI DHI
1 HI 1,000(xx) ,761(xy)
DHI -,761(yx) ,421(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: DHI



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) HI
1 1 1,767 1,000 ,12 ,12
2 ,233 2,757 ,88 ,88
a Dependent Variable: DHI

EQUATION 2

Regression

Notes
Output Created 19-OCT-2004 09:41:52
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN /DEPENDENT dhi
/METHOD=ENTER var1.
Resources Memory Required 2228 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,06

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR1(a) , Enter
a All requested variables entered.
b Dependent Variable: DHI
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 ,991(b) ,982 ,982 1,1655E-02 ,982 159768,734 1 2946 ,000 -26239,302 ,018 1,000 -26233,313
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: VAR1

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 21,702 1 21,702 159768,734 ,000(a)
Residual ,400 2946 1,358E-04

Total 22,102(b) 2947


a Predictors: VAR1
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: DHI
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 VAR1 8,985E-03 ,000 ,991 ,002 399,711 ,000 ,009 ,009 ,991 ,991 ,991 1,000 1,000
a Dependent Variable: DHI
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR1
1 Correlations VAR1 1,000
Covariances VAR1 5,053E-10
a Dependent Variable: DHI
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR1 DHI
1 VAR1 1,000(xx) -,991(xy)
DHI ,991(yx) ,018(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: DHI
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR1
1 1 1,000 1,000 1,00
a Dependent Variable: DHI
b Linear Regression through the Origin

EQUATION 3

Regression

Notes
Output Created 19-OCT-2004 09:41:52
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT dhi
/METHOD=STEPWISE D H var13.
Resources Memory Required 2844 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,07

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

Variables Entered/Removed(a)
Model Variables Entered Variables Removed Method
1 VAR13 , 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).
3 H , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: DHI





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 ,866(a) ,750 ,750 2,0118E-02 ,750 8857,903 1 2945 ,000 -23020,684 ,250 5631,906 -23008,707
2 ,956(b) ,914 ,914 1,1804E-02 ,164 5611,198 1 2944 ,000 -26162,455 ,086 9,782 -26144,489
3 ,956(c) ,914 ,914 1,1790E-02 ,000 7,782 1 2943 ,005 -26168,237 ,086 4,000 -26144,283
a Predictors: (Constant), VAR13
b Predictors: (Constant), VAR13, D
c Predictors: (Constant), VAR13, D, H

ANOVA(d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 3,585 1 3,585 8857,903 ,000(a)
Residual 1,192 2945 4,047E-04

Total 4,777 2946


2 Regression 4,367 2 2,184 15671,662 ,000(b)
Residual ,410 2944 1,393E-04

Total 4,777 2946


3 Regression 4,368 3 1,456 10474,436 ,000(c)
Residual ,409 2943 1,390E-04

Total 4,777 2946


a Predictors: (Constant), VAR13
b Predictors: (Constant), VAR13, D
c Predictors: (Constant), VAR13, D, H
d Dependent Variable: DHI



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) ,121 ,001

201,911 ,000 ,120 ,122




VAR13 -,112 ,001 -,866 ,009 -94,116 ,000 -,115 -,110 -,866 -,866 -,866 1,000 1,000
2 (Constant) 4,639E-02 ,001

43,919 ,000 ,044 ,048




VAR13 -,115 ,001 -,885 ,005 -163,666 ,000 -,116 -,113 -,866 -,949 -,884 ,998 1,002
D ,728 ,010 ,405 ,005 74,908 ,000 ,709 ,747 ,365 ,810 ,405 ,998 1,002
3 (Constant) 4,563E-02 ,001

41,891 ,000 ,043 ,048




VAR13 -,115 ,001 -,885 ,005 -163,876 ,000 -,116 -,113 -,866 -,949 -,884 ,997 1,003
D ,658 ,027 ,366 ,015 24,364 ,000 ,605 ,711 ,365 ,410 ,131 ,129 7,750
H 5,826E-04 ,000 ,042 ,015 2,790 ,005 ,000 ,001 ,339 ,051 ,015 ,129 7,754
a Dependent Variable: DHI





Excluded Variables(c)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D ,405(a) 74,908 ,000 ,810 ,998 1,002 ,998
H ,383(a) 64,762 ,000 ,767 ,997 1,003 ,997
2 H ,042(b) 2,790 ,005 ,051 ,129 7,754 ,129
a Predictors in the Model: (Constant), VAR13
b Predictors in the Model: (Constant), VAR13, D
c Dependent Variable: DHI

Coefficient Correlations(a)
Model VAR13 D H
1 Correlations VAR13 1,000

Covariances VAR13 1,425E-06

2 Correlations VAR13 1,000 -,046
D -,046 1,000
Covariances VAR13 4,914E-07 -3,113E-07
D -3,113E-07 9,454E-05
3 Correlations VAR13 1,000 ,004 -,022
D ,004 1,000 -,933
H -,022 -,933 1,000
Covariances VAR13 4,905E-07 7,186E-08 -3,169E-09
D 7,186E-08 7,295E-04 -5,264E-06
H -3,169E-09 -5,264E-06 4,362E-08
a Dependent Variable: DHI

Swept Correlation Matrix(a)

Columns
Model Rows VAR13 DHI D H
1 VAR13 1,000(xx) ,866(xy) -,046(x~) -,050(x~)
DHI -,866(yx) ,250(yy) ,404(y~) ,382(y~)
D ,046(~x) ,404(~y) ,998(~~) ,931
H ,050(~x) ,382(~y) ,931 ,997(~~)
2 VAR13 1,002(xx) ,885(xy) -,046 -,008(x~)
DHI -,885(yx) ,086(yy) ,405(yx) ,005(y~)
D -,046 -,405(xy) 1,002(xx) -,933(x~)
H ,008(~x) ,005(~y) ,933(~x) ,129(~~)
3 VAR13 1,003(xx) ,885(xy) ,011 -,060
DHI -,885(yx) ,086(yy) ,366(yx) ,042(yx)
D ,011 -,366(xy) 7,750(xx) -7,233
H -,060 -,042(xy) -7,233 7,754(xx)
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: DHI



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) VAR13 D H
1 1 1,786 1,000 ,11 ,11

2 ,214 2,888 ,89 ,89

2 1 2,695 1,000 ,01 ,04 ,01
2 ,282 3,089 ,02 ,95 ,03
3 2,231E-02 10,991 ,97 ,01 ,97
3 1 3,654 1,000 ,00 ,02 ,00 ,00
2 ,315 3,404 ,01 ,96 ,00 ,00
3 2,767E-02 11,492 ,98 ,02 ,04 ,03
4 2,879E-03 35,626 ,01 ,00 ,96 ,97
a Dependent Variable: DHI

EQUATION 4

Regression

Notes
Output Created 19-OCT-2004 09:41:52
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT dhi /METHOD=ENTER var3 var4 var5 var6 var7.
Resources Memory Required 3236 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,10

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR7, VAR3, VAR6, VAR4, VAR5(a) , Enter
a All requested variables entered.
b Dependent Variable: DHI
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 ,995(b) ,989 ,989 8,9815E-03 ,989 54210,338 5 2942 ,000 -27771,007 ,011 5,000 -27741,064
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: VAR7, VAR3, VAR6, VAR4, VAR5

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 21,865 5 4,373 54210,338 ,000(a)
Residual ,237 2942 8,067E-05

Total 22,102(b) 2947


a Predictors: VAR7, VAR3, VAR6, VAR4, VAR5
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: DHI
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 VAR3 1,073 ,002 ,978 ,002 463,056 ,000 1,069 1,078 ,993 ,993 ,885 ,819 1,221
VAR4 ,261 ,020 ,391 ,030 13,066 ,000 ,222 ,300 ,358 ,234 ,025 ,004 245,484
VAR5 -,130 ,302 -,021 ,049 -,429 ,668 -,722 ,463 ,381 -,008 -,001 ,002 662,366
VAR6 1,959 1,214 ,039 ,024 1,614 ,107 -,421 4,340 ,384 ,030 ,003 ,006 156,012
VAR7 -,190 ,006 -,399 ,013 -29,581 ,000 -,203 -,178 ,321 -,479 -,057 ,020 49,837
a Dependent Variable: DHI
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR7 VAR3 VAR6 VAR4 VAR5
1 Correlations VAR7 1,000 ,197 ,014 -,414 -,029
VAR3 ,197 1,000 ,034 -,034 -,064
VAR6 ,014 ,034 1,000 ,853 -,983
VAR4 -,414 -,034 ,853 1,000 -,886
VAR5 -,029 -,064 -,983 -,886 1,000
Covariances VAR7 4,147E-05 2,946E-06 1,091E-04 -5,327E-05 -5,678E-05
VAR3 2,946E-06 5,370E-06 9,606E-05 -1,579E-06 -4,515E-05
VAR6 1,091E-04 9,606E-05 1,474 2,071E-02 -,361
VAR4 -5,327E-05 -1,579E-06 2,071E-02 3,994E-04 -5,352E-03
VAR5 -5,678E-05 -4,515E-05 -,361 -5,352E-03 9,135E-02
a Dependent Variable: DHI
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR7 VAR3 VAR6 VAR4 VAR5 DHI
1 VAR7 49,837(xx) 1,540 1,230 -45,787 -5,300 ,399(xy)
VAR3 1,540 1,221(xx) ,471 -,590 -1,833 -,978(xy)
VAR6 1,230 ,471 156,012(xx) 167,010 -315,890 -,039(xy)
VAR4 -45,787 -,590 167,010 245,484(xx) -357,301 -,391(xy)
VAR5 -5,300 -1,833 -315,890 -357,301 662,366(xx) ,021(xy)
DHI -,399(yx) ,978(yx) ,039(yx) ,391(yx) -,021(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: DHI
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR3 VAR4 VAR5 VAR6 VAR7
1 1 4,020 1,000 ,01 ,00 ,00 ,00 ,00
2 ,831 2,199 ,93 ,00 ,00 ,00 ,00
3 ,136 5,438 ,02 ,01 ,00 ,03 ,03
4 1,112E-02 19,015 ,04 ,13 ,01 ,01 ,96
5 9,841E-04 63,918 ,00 ,86 ,99 ,96 ,01
a Dependent Variable: DHI
b Linear Regression through the Origin

EQUATION 5

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:41:52
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 b3=1 a1=1 .
COMPUTE PRED_ = b1-b2*exp(-b3*hi**a1).
NLR dhi /PRED PRED_.
Resources Elapsed Time 0:00:21,86

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          B2          B3          A1

     1      1876,040492  1,00000000  1,00000000  1,00000000  1,00000000
     1.1    5,254408188  ,046306625  -,20406197  ,964092388  1,23005387
     2      5,254408188  ,046306625  -,20406197  ,964092388  1,23005387
     2.1    5,485895460  ,051366211  -,15764014  ,999000302  ,106502580
     2.2    5,485895460  ,051366211  -,15764014  ,999000302  ,106502580
     2.3    5,485895460  ,051366211  -,15764014  ,999000302  ,106502580
     2.4    5,485895460  ,051366211  -,15764014  ,999000302  ,106502580
     2.5    2,104165602  ,053179097  -,11536347  ,815808875  ,694153428
     3      2,104165602  ,053179097  -,11536347  ,815808875  ,694153428
     3.1    9,701606347  ,024155353  -,17575502  ,686877126  -,03804078
     3.2    1,990008848  ,046568303  -,12730394  ,782494023  ,597476284
     4      1,990008848  ,046568303  -,12730394  ,782494023  ,597476284
     4.1    1,973891963  ,032229048  -,15219550  ,709362461  ,418021601
     5      1,973891963  ,032229048  -,15219550  ,709362461  ,418021601
     5.1    1,845642628  ,021025740  -,16636362  ,662064011  ,438502183
     6      1,845642628  ,021025740  -,16636362  ,662064011  ,438502183
     6.1    1,838368208  ,003268156  -,18073034  ,535930921  ,396425972
     7      1,838368208  ,003268156  -,18073034  ,535930921  ,396425972
     7.1    1,790472591  -,00271919  -,17654541  ,466025944  ,436471141
     8      1,790472591  -,00271919  -,17654541  ,466025944  ,436471141
     8.1    1,781733239  -,01201613  -,16695867  ,318855197  ,500394750
     9      1,781733239  -,01201613  -,16695867  ,318855197  ,500394750
     9.1    1,804531721  -,01563845  -,15135050  ,187638230  ,645545296
     9.2    1,753647785  -,01475136  -,16348915  ,273275376  ,562743945
    10      1,753647785  -,01475136  -,16348915  ,273275376  ,562743945
    10.1    1,755680869  -,00768294  -,14360541  ,201651915  ,684639322
    10.2    1,749080119  -,01660962  -,15973129  ,232120066  ,612400161
    11      1,749080119  -,01660962  -,15973129  ,232120066  ,612400161
    11.1    1,748224197  -,00338324  -,14013083  ,209899219  ,703747386
    12      1,748224197  -,00338324  -,14013083  ,209899219  ,703747386
    12.1    1,747871271  ,009937126  -,12402262  ,205769977  ,788957857
    13      1,747871271  ,009937126  -,12402262  ,205769977  ,788957857
    13.1    1,745913298  ,006793924  -,12720566  ,199537565  ,791680213
    14      1,745913298  ,006793924  -,12720566  ,199537565  ,791680213
    14.1    1,745906340  ,007427197  -,12639747  ,199180515  ,796897229
    15      1,745906340  ,007427197  -,12639747  ,199180515  ,796897229
    15.1    1,745906245  ,007417035  -,12638655  ,198978965  ,797262806
    16      1,745906245  ,007417035  -,12638655  ,198978965  ,797262806
    16.1    1,745906242  ,007435563  -,12636172  ,198952924  ,797435028

Run stopped after 39 model evaluations and 16 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08






Nonlinear Regression Summary Statistics     Dependent Variable DHI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4       20,35639        5,08910
  Residual             2943        1,74591   5,932403E-04
  Uncorrected Total    2947       22,10229

  (Corrected Total)    2946        4,77721

  R squared = 1 - Residual SS / Corrected SS =     ,63453

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  B1          ,007435563   ,010801297  -,013743301   ,028614427
  B2         -,126361720   ,013521099  -,152873490  -,099849949
  B3          ,198952924   ,019231367   ,161244629   ,236661219
  A1          ,797435028   ,087865045   ,625151851   ,969718205

  Asymptotic Correlation Matrix of the Parameter Estimates

                  B1        B2        B3        A1

  B1          1,0000     ,9853    -,2589     ,9057
  B2           ,9853    1,0000    -,4091     ,9568
  B3          -,2589    -,4091    1,0000    -,6369
  A1           ,9057     ,9568    -,6369    1,0000


EQUATION 6

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:42:14
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM a1=1 .
COMPUTE PRED_1 = D * (var8)**a1.
NLR dhi /PRED PRED_1.
Resources Elapsed Time 0:00:06,06

All the derivatives will be calculated numerically.





 Iteration  Residual SS          A1

     1      38,80849119  1,00000000
     1.1    3,504587088  ,505404141
     2      3,504587088  ,505404141
     2.1    1,073889205  ,261602473
     3      1,073889205  ,261602473
     3.1    1,044232997  ,290047604
     4      1,044232997  ,290047604
     4.1    1,043278803  ,284853557
     5      1,043278803  ,284853557
     5.1    1,043243661  ,285847593
     6      1,043243661  ,285847593
     6.1    1,043242392  ,285658598
     7      1,043242392  ,285658598
     7.1    1,043242346  ,285694579
     8      1,043242346  ,285694579
     8.1    1,043242344  ,285687730

Run stopped after 16 model evaluations and 8 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08


Nonlinear Regression Summary Statistics     Dependent Variable DHI

  Source                 DF  Sum of Squares  Mean Square

  Regression              1       21,05905       21,05905
  Residual             2946        1,04324   3,541216E-04
  Uncorrected Total    2947       22,10229

  (Corrected Total)    2946        4,77721

  R squared = 1 - Residual SS / Corrected SS =     ,78162

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  A1          ,285687730   ,002840650   ,280117870   ,291257591


EQUATION 7

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:42:20
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM a1=1 .
COMPUTE PRED_2 = D * (var2)**a1.
NLR dhi /PRED PRED_2.
Resources Elapsed Time 0:00:03,45

All the derivatives will be calculated numerically.





 Iteration  Residual SS          A1

     1      ,4584410867  1,00000000
     1.1    ,3960723460  ,825653173
     2      ,3960723460  ,825653173
     2.1    ,3960595389  ,823550883
     3      ,3960595389  ,823550883
     3.1    ,3960594327  ,823359791
     4      ,3960594327  ,823359791
     4.1    ,3960594318  ,823342216

Run stopped after 8 model evaluations and 4 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08


Nonlinear Regression Summary Statistics     Dependent Variable DHI

  Source                 DF  Sum of Squares  Mean Square

  Regression              1       21,70623       21,70623
  Residual             2946         ,39606   1,344397E-04
  Uncorrected Total    2947       22,10229

  (Corrected Total)    2946        4,77721

  R squared = 1 - Residual SS / Corrected SS =     ,91709

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  A1          ,823342216   ,007100895   ,809418998   ,837265435


EQUATION 8

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:42:24
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM a1=1 b1=1 .
COMPUTE PRED_3 = b1*D * (var11)**a1.
NLR dhi /PRED PRED_3.
Resources Elapsed Time 0:00:03,21

All the derivatives will be calculated numerically.





 Iteration  Residual SS          A1          B1

     1      ,4584410867  1,00000000  1,00000000
     1.1    ,2985910573  ,920715306  1,08056618
     2      ,2985910573  ,920715306  1,08056618
     2.1    ,2985628246  ,919339054  1,07924364
     3      ,2985628246  ,919339054  1,07924364
     3.1    ,2985627504  ,919163550  1,07921853
     4      ,2985627504  ,919163550  1,07921853
     4.1    ,2985627492  ,919141262  1,07921532

Run stopped after 8 model evaluations and 4 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08


Nonlinear Regression Summary Statistics     Dependent Variable DHI

  Source                 DF  Sum of Squares  Mean Square

  Regression              2       21,80373       10,90186
  Residual             2945         ,29856   1,013795E-04
  Uncorrected Total    2947       22,10229

  (Corrected Total)    2946        4,77721

  R squared = 1 - Residual SS / Corrected SS =     ,93750

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  A1          ,919141262   ,006886199   ,905639011   ,932643513
  B1         1,079215318   ,002529299  1,074255945  1,084174691

  Asymptotic Correlation Matrix of the Parameter Estimates

                  A1        B1

  A1          1,0000     ,3918
  B1           ,3918    1,0000


EQUATION 9

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:42:27
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM a1=1 a2=1 a3=1 b1=1 .
COMPUTE PRED_4 = b1*(D**a1) * (var1**a2)*(H ** a3).
NLR dhi /PRED PRED_4.
Resources Elapsed Time 0:00:39,75

All the derivatives will be calculated numerically.





 Iteration  Residual SS          A1          A2          A3          B1

     1      946341,8085  1,00000000  1,00000000  1,00000000  1,00000000
     1.1    1014,050273  1,00111384  ,999725728  ,989124070  ,038237019
     2      1014,050273  1,00111384  ,999725728  ,989124070  ,038237019
     2.1    115,0949094  1,03093773  ,992327219  ,696562085  ,039343505
     3      115,0949094  1,03093773  ,992327219  ,696562085  ,039343505
     3.1    1,902753071  1,08153980  ,975940255  ,101116315  ,083299823
     4      1,902753071  1,08153980  ,975940255  ,101116315  ,083299823
     4.1    13,71931767  1,09070362  ,938745432  -,95735502  ,327397127
     4.2    1,031296163  ,952277005  ,913071370  ,039330143  ,078015812
     5      1,031296163  ,952277005  ,913071370  ,039330143  ,078015812
     5.1    ,4721321602  ,680762995  ,838481057  -,11275007  ,080515086
     6      ,4721321602  ,680762995  ,838481057  -,11275007  ,080515086
     6.1    3,901261113  ,743591096  ,902187531  -,63500251  ,193281309
     6.2    ,4158907898  ,626304242  ,829455748  -,14499667  ,080010447
     7      ,4158907898  ,626304242  ,829455748  -,14499667  ,080010447
     7.1    ,3481320344  ,529746000  ,844798183  -,22295949  ,077117192
     8      ,3481320344  ,529746000  ,844798183  -,22295949  ,077117192
     8.1    ,5859250177  ,577167613  ,895356929  -,44210461  ,121245822
     8.2    ,3400659108  ,511513682  ,850280948  -,23947242  ,076510841
     9      ,3400659108  ,511513682  ,850280948  -,23947242  ,076510841
     9.1    ,3285482689  ,487230222  ,867375548  -,27635521  ,076838746
    10      ,3285482689  ,487230222  ,867375548  -,27635521  ,076838746
    10.1    ,3254619752  ,507892925  ,894209018  -,36569361  ,093764833
    11      ,3254619752  ,507892925  ,894209018  -,36569361  ,093764833
    11.1    ,3137498330  ,526742890  ,902878100  -,40199293  ,106836837
    12      ,3137498330  ,526742890  ,902878100  -,40199293  ,106836837
    12.1    ,3336025722  ,579978672  ,909896315  -,47066390  ,138189107
    12.2    ,3110161818  ,534128487  ,905392634  -,41403396  ,112311712
    13      ,3110161818  ,534128487  ,905392634  -,41403396  ,112311712
    13.1    ,3093081247  ,550364532  ,908282877  -,43623562  ,122376761
    14      ,3093081247  ,550364532  ,908282877  -,43623562  ,122376761
    14.1    ,3095019894  ,582425085  ,911217709  -,47511878  ,143400606
    14.2    ,3075670602  ,566020821  ,910154921  -,45590369  ,132975484
    15      ,3075670602  ,566020821  ,910154921  -,45590369  ,132975484
    15.1    ,3072422767  ,595916015  ,912292374  -,49106412  ,154080511
    16      ,3072422767  ,595916015  ,912292374  -,49106412  ,154080511
    16.1    ,3033588107  ,612372378  ,913389336  -,51009389  ,168907480
    17      ,3033588107  ,612372378  ,913389336  -,51009389  ,168907480
    17.1    ,3033622290  ,642463932  ,914883851  -,54434259  ,195764381
    17.2    ,3019014707  ,628116910  ,914269395  -,52810192  ,183307354
    18      ,3019014707  ,628116910  ,914269395  -,52810192  ,183307354
    18.1    ,3025642376  ,659706969  ,915730098  -,56392179  ,213688900
    18.2    ,3007382657  ,641036834  ,914955983  -,54282003  ,196101501
    19      ,3007382657  ,641036834  ,914955983  -,54282003  ,196101501
    19.1    ,2999690714  ,664625718  ,916041445  -,56955827  ,220321241
    20      ,2999690714  ,664625718  ,916041445  -,56955827  ,220321241
    20.1    ,2988390232  ,690187700  ,917242689  -,59854631  ,250806550
    21      ,2988390232  ,690187700  ,917242689  -,59854631  ,250806550
    21.1    ,2973113886  ,715350963  ,918448977  -,62713459  ,285443977
    22      ,2973113886  ,715350963  ,918448977  -,62713459  ,285443977




    22.1    ,2958997164  ,740070007  ,919638085  -,65526179  ,324227422
    23      ,2958997164  ,740070007  ,919638085  -,65526179  ,324227422
    23.1    ,2946623760  ,764274626  ,920795594  -,68283245  ,367361664
    24      ,2946623760  ,764274626  ,920795594  -,68283245  ,367361664
    24.1    ,2936016525  ,787890814  ,921903334  -,70973949  ,415020597
    25      ,2936016525  ,787890814  ,921903334  -,70973949  ,415020597
    25.1    ,2927130511  ,810845292  ,922940441  -,73587228  ,467302891
    26      ,2927130511  ,810845292  ,922940441  -,73587228  ,467302891
    26.1    ,2919901664  ,833068723  ,923886097  -,76112427  ,524215077
    27      ,2919901664  ,833068723  ,923886097  -,76112427  ,524215077
    27.1    ,2914250446  ,854499268  ,924722650  -,78540140  ,585664858
    28      ,2914250446  ,854499268  ,924722650  -,78540140  ,585664858
    28.1    ,2910081813  ,875086456  ,925438437  -,80863025  ,651465457
    29      ,2910081813  ,875086456  ,925438437  -,80863025  ,651465457
    29.1    ,2907280387  ,894789992  ,926029452  -,83075914  ,721335670
    30      ,2907280387  ,894789992  ,926029452  -,83075914  ,721335670
    30.1    ,2904590144  ,912349598  ,926472500  -,85038853  ,790346013
    31      ,2904590144  ,912349598  ,926472500  -,85038853  ,790346013
    31.1    ,2900595710  ,912284098  ,926477368  -,85033298  ,793501353
    32      ,2900595710  ,912284098  ,926477368  -,85033298  ,793501353
    32.1    ,2900595709  ,912284012  ,926478181  -,85033362  ,793499982

Run stopped after 71 model evaluations and 32 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08


Nonlinear Regression Summary Statistics     Dependent Variable DHI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4       21,81223        5,45306
  Residual             2943         ,29006   9,855915E-05
  Uncorrected Total    2947       22,10229

  (Corrected Total)    2946        4,77721

  R squared = 1 - Residual SS / Corrected SS =     ,93928

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  A1          ,912284012   ,026926398   ,859487528   ,965080495
  A2          ,926478181   ,006857325   ,913032540   ,939923821
  A3         -,850333620   ,029674909  -,908519303  -,792147938
  B1          ,793499982   ,107014087   ,583669929  1,003330034





  Asymptotic Correlation Matrix of the Parameter Estimates

                  A1        A2        A3        B1

  A1          1,0000     ,0014    -,9136     ,9793
  A2           ,0014    1,0000    -,2217     ,0067
  A3          -,9136    -,2217    1,0000    -,9648
  B1           ,9793     ,0067    -,9648    1,0000


EQUATION 10

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:07
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 b3=1 b4=1 a1=1 a2=1 a3=1 a4=1 .
COMPUTE PRED_5 = (b1*(var1**a1)*(D**a2)*((b2+b3*var9+b4*var10)**
a3))/H**a4.
NLR dhi /PRED PRED_5.
Resources Elapsed Time 0:00:01,18

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          B2          B3          B4
                                 A1          A2          A3          A4

     1      1039,146165  1,00000000  1,00000000  1,00000000  1,00000000
                         1,00000000  1,00000000  1,00000000  1,00000000
     1.1     2,2131E+13  -375,00690  377,173451  375,998703  375,961511
                         ,992407970  ,948411105  ,978734498  1,00433067
     1.2     2437922785  -37,015699  39,1821552  38,0074972  37,9701835
                         ,992406226  ,948323260  ,978706387  1,00433814
     1.3    259924,7768  -3,2165785  5,38302555  4,20837645  4,17105082
                         ,992406052  ,948314563  ,978703620  1,00433884
     1.4    78,42800252  ,650519647  1,67132744  ,546697340  ,554305149
                         ,992315585  1,02370111  ,983438608  1,03286924
     2      78,42800252  ,650519647  1,67132744  ,546697340  ,554305149
                         ,992315585  1,02370111  ,983438608  1,03286924
     2.1    1,495298869  ,346206414  2,75832087  ,520551618  ,069936667
                         ,972457841  ,638701349  ,816213498  1,13796552
     3      1,495298869  ,346206414  2,75832087  ,520551618  ,069936667
                         ,972457841  ,638701349  ,816213498  1,13796552

>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 1  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 2  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 3  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 4  Current splitfile group: 1






>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 5  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 6  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 7  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 8  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 9  Current splitfile group: 1


>Warning # 523
>During the execution of the indicated command, an attempt was made to raise
>a non-positive number to a fractional power, e.g.  (-3)**2.5.  The result
>has been set to the system-missing value.

>Command line: 415  Current case: 10  Current splitfile group: 1


>Warning # 92
>The limit of MXWARNS warnings in this data pass has been printed.  Further
>warnings have been suppressed.

     3.1    ,0000000000  1,69380135  -10,729496  -2,7321617  -,29197465
                         ,937270944  1,03702171  ,880671311  ,775294124

Run stopped after 9 model evaluations and 3 derivative evaluations.





>Error # 16623.  Command name: NLR
>The predicted value is missing or the case weight is missing or not
>positive for all cases.  Perhaps a variable needed for calculating the
>predicted value or the case weight was left off the WITH variable list.
>This command not executed.



EQUATION 11

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT var12 /METHOD=ENTER var13.
Resources Memory Required 2228 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 VAR13(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR12





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 ,970(a) ,941 ,941 8,605E-02 ,941 46951,597 1 2945 ,000 -14454,650 ,059 2,000 -14442,673
a Predictors: (Constant), VAR13

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 347,695 1 347,695 46951,597 ,000(a)
Residual 21,809 2945 7,405E-03

Total 369,504 2946


a Predictors: (Constant), VAR13
b Dependent Variable: VAR12



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) 1,179 ,003

460,052 ,000 1,174 1,184




VAR13 -1,106 ,005 -,970 ,004 -216,683 ,000 -1,116 -1,096 -,970 -,970 -,970 1,000 1,000
a Dependent Variable: VAR12

Coefficient Correlations(a)
Model VAR13
1 Correlations VAR13 1,000
Covariances VAR13 2,606E-05
a Dependent Variable: VAR12

Swept Correlation Matrix(a)

Columns
Model Rows VAR13 VAR12
1 VAR13 1,000(xx) ,970(xy)
VAR12 -,970(yx) ,059(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: VAR12



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) VAR13
1 1 1,786 1,000 ,11 ,11
2 ,214 2,888 ,89 ,89
a Dependent Variable: VAR12

EQUATION 12

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var12 /METHOD=ENTER var14 var15.
Resources Memory Required 2428 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR15, VAR14(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR12
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 ,994(b) ,988 ,988 9,191E-02 ,988 116616,850 2 2945 ,000 -14066,342 ,012 2,000 -14054,365
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: VAR15, VAR14

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1970,440 2 985,220 116616,850 ,000(a)
Residual 24,880 2945 8,448E-03

Total 1995,321(b) 2947


a Predictors: VAR15, VAR14
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: VAR12
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 VAR14 1,193 ,003 ,986 ,003 385,607 ,000 1,187 1,199 ,994 ,990 ,793 ,647 1,545
VAR15 2,891E-03 ,001 ,012 ,003 4,838 ,000 ,002 ,004 ,598 ,089 ,010 ,647 1,545
a Dependent Variable: VAR12
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR15 VAR14
1 Correlations VAR15 1,000 -,594
VAR14 -,594 1,000
Covariances VAR15 3,571E-07 -1,098E-06
VAR14 -1,098E-06 9,568E-06
a Dependent Variable: VAR12
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR15 VAR14 VAR12
1 VAR15 1,545(xx) -,918 -,012(xy)
VAR14 -,918 1,545(xx) -,986(xy)
VAR12 ,012(yx) ,986(yx) ,012(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: VAR12
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR14 VAR15
1 1 1,594 1,000 ,20 ,20
2 ,406 1,982 ,80 ,80
a Dependent Variable: VAR12
b Linear Regression through the Origin

EQUATION 13

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var12 /METHOD=ENTER var3 var16.
Resources Memory Required 2428 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,09

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR16, VAR3(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR12
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 ,975(b) ,951 ,951 ,1825 ,951 28483,907 2 2945 ,000 -10023,947 ,049 2,000 -10011,970
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: VAR16, VAR3

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1897,241 2 948,621 28483,907 ,000(a)
Residual 98,080 2945 3,330E-02

Total 1995,321(b) 2947


a Predictors: VAR16, VAR3
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: VAR12
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 VAR3 10,209 ,046 ,979 ,004 220,280 ,000 10,118 10,300 ,975 ,971 ,900 ,845 1,183
VAR16 -2,751E-03 ,001 -,010 ,004 -2,170 ,030 -,005 ,000 ,375 -,040 -,009 ,845 1,183
a Dependent Variable: VAR12
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR16 VAR3
1 Correlations VAR16 1,000 -,393
VAR3 -,393 1,000
Covariances VAR16 1,607E-06 -2,311E-05
VAR3 -2,311E-05 2,148E-03
a Dependent Variable: VAR12
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR16 VAR3 VAR12
1 VAR16 1,183(xx) -,465 ,010(xy)
VAR3 -,465 1,183(xx) -,979(xy)
VAR12 -,010(yx) ,979(yx) ,049(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: VAR12
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR3 VAR16
1 1 1,393 1,000 ,30 ,30
2 ,607 1,516 ,70 ,70
a Dependent Variable: VAR12
b Linear Regression through the Origin

EQUATION 14

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var12 /METHOD=ENTER var14 var17 var18 var19.
Resources Memory Required 2932 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR19, VAR14, VAR17, VAR18(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR12
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 ,995(b) ,991 ,991 7,911E-02 ,991 78974,970 4 2943 ,000 -14948,767 ,009 4,000 -14924,813
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: VAR19, VAR14, VAR17, VAR18

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1976,904 4 494,226 78974,970 ,000(a)
Residual 18,417 2943 6,258E-03

Total 1995,321(b) 2947


a Predictors: VAR19, VAR14, VAR17, VAR18
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: VAR12
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 VAR14 1,263 ,004 1,044 ,003 359,823 ,000 1,256 1,270 ,994 ,989 ,637 ,372 2,685
VAR17 -1,935E-04 ,000 -,074 ,011 -6,858 ,000 ,000 ,000 ,652 -,125 -,012 ,027 37,175
VAR18 -8,878E-05 ,000 -,524 ,018 -28,809 ,000 ,000 ,000 ,611 -,469 -,051 ,009 105,328
VAR19 6,080E-05 ,000 ,570 ,018 32,491 ,000 ,000 ,000 ,564 ,514 ,058 ,010 98,114
a Dependent Variable: VAR12
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR19 VAR14 VAR17 VAR18
1 Correlations VAR19 1,000 ,564 -,298 -,839
VAR14 ,564 1,000 -,443 -,379
VAR17 -,298 -,443 1,000 -,255
VAR18 -,839 -,379 -,255 1,000
Covariances VAR19 3,502E-12 3,701E-09 -1,571E-11 -4,841E-12
VAR14 3,701E-09 1,231E-05 -4,390E-08 -4,100E-09
VAR17 -1,571E-11 -4,390E-08 7,962E-10 -2,222E-11
VAR18 -4,841E-12 -4,100E-09 -2,222E-11 9,497E-12
a Dependent Variable: VAR12
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR19 VAR14 VAR17 VAR18 VAR12
1 VAR19 98,114(xx) 9,147 -17,970 -85,335 -,570(xy)
VAR14 9,147 2,685(xx) -4,430 -6,375 -1,044(xy)
VAR17 -17,970 -4,430 37,175(xx) -15,986 ,074(xy)
VAR18 -85,335 -6,375 -15,986 105,328(xx) ,524(xy)
VAR12 ,570(yx) 1,044(yx) -,074(yx) -,524(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: VAR12
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR14 VAR17 VAR18 VAR19
1 1 3,429 1,000 ,02 ,00 ,00 ,00
2 ,547 2,504 ,56 ,00 ,00 ,00
3 1,873E-02 13,531 ,17 1,00 ,08 ,08
4 5,325E-03 25,375 ,24 ,00 ,92 ,92
a Dependent Variable: VAR12
b Linear Regression through the Origin

EQUATION 15

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var12 /METHOD=ENTER var13 var20 var21 var22 var23
var24 var25 var26.
Resources Memory Required 4324 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR26, VAR13, VAR21, VAR23(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: VAR12
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 ,771(b) ,595 ,594 ,5242 ,595 1079,884 4 2943 ,000 -3803,304 ,406 4,000 -3779,350(c)
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: VAR26, VAR13, VAR21, VAR23
c Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: VAR20, VAR22, VAR24, VAR25

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1186,756 4 296,689 1079,884 ,000(a)
Residual 808,564 2943 ,275

Total 1995,321(b) 2947


a Predictors: VAR26, VAR13, VAR21, VAR23
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: VAR12
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 VAR13 6,337 ,117 3,867 ,072 53,952 ,000 6,107 6,567 ,451 ,705 ,633 ,027 37,303
VAR21 -30,332 ,827 -11,671 ,318 -36,679 ,000 -31,954 -28,711 ,235 -,560 -,430 ,001 735,301
VAR23 43,712 1,501 12,898 ,443 29,127 ,000 40,770 46,655 ,167 ,473 ,342 ,001 1423,977
VAR26 -20,781 ,882 -4,622 ,196 -23,552 ,000 -22,511 -19,051 ,121 -,398 -,276 ,004 279,766
a Dependent Variable: VAR12
b Linear Regression through the Origin





Excluded Variables(b,c)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 VAR20 -46,109(a) -62,294 ,000 -,754 1,084E-04 9224,103 5,131E-05
VAR22 187,885(a) 39,779 ,000 ,591 4,015E-06 249076,949 4,015E-06
VAR24 -156,857(a) -31,124 ,000 -,498 4,080E-06 245111,778 4,080E-06
VAR25 -134,132(a) -28,463 ,000 -,465 4,863E-06 205624,146 4,863E-06
a Predictors in the Model: VAR26, VAR13, VAR21, VAR23
b Dependent Variable: VAR12
c Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR26 VAR13 VAR21 VAR23
1 Correlations VAR26 1,000 -,705 ,910 -,978
VAR13 -,705 1,000 -,911 ,811
VAR21 ,910 -,911 1,000 -,974
VAR23 -,978 ,811 -,974 1,000
Covariances VAR26 ,779 -7,309E-02 ,664 -1,295
VAR13 -7,309E-02 1,380E-02 -8,845E-02 ,143
VAR21 ,664 -8,845E-02 ,684 -1,209
VAR23 -1,295 ,143 -1,209 2,252
a Dependent Variable: VAR12
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR26 VAR13 VAR21 VAR23 VAR12 VAR20 VAR22 VAR24 VAR25
1 VAR26 279,766(xx) -72,049 412,623 -617,088 4,622(xy) -,244(x~) ,101(x~) -,254(x~) -,603(x~)
VAR13 -72,049 37,303(xx) -150,812 186,972 -3,867(xy) -,192(x~) ,018(x~) -,014(x~) -,014(x~)
VAR21 412,623 -150,812 735,301(xx) -997,158 11,671(xy) -1,426(x~) -,401(x~) ,168(x~) ,150(x~)
VAR23 -617,088 186,972 -997,158 1423,977(xx) -12,898(xy) ,859(x~) -,718(x~) -,900(x~) -,534(x~)
VAR12 -4,622(yx) 3,867(yx) -11,671(yx) 12,898(yx) ,405(yy) -,005(y~) ,001(y~) -,001(y~) -,001(y~)
VAR20 ,244(~x) ,192(~x) 1,426(~x) -,859(~x) -,005(~y) ,000(~~) ,000 ,000 ,000
VAR22 -,101(~x) -,018(~x) ,401(~x) ,718(~x) ,001(~y) ,000 ,000(~~) ,000 ,000
VAR24 ,254(~x) ,014(~x) -,168(~x) ,900(~x) -,001(~y) ,000 ,000 ,000(~~) ,000
VAR25 ,603(~x) ,014(~x) -,150(~x) ,534(~x) -,001(~y) ,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: VAR12
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR13 VAR21 VAR23 VAR26
1 1 3,668 1,000 ,00 ,00 ,00 ,00
2 ,312 3,430 ,05 ,00 ,00 ,00
3 1,933E-02 13,776 ,24 ,03 ,00 ,06
4 4,130E-04 94,244 ,71 ,97 1,00 ,94
a Dependent Variable: VAR12
b Linear Regression through the Origin

EQUATION 16

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var12 /METHOD=ENTER var27 var28 var29 var30 var31.
Resources Memory Required 3236 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR31, VAR29, VAR27, VAR30, VAR28(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR12
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 ,992(b) ,984 ,984 ,1038 ,984 36465,520 5 2942 ,000 -13347,882 ,016 5,000 -13317,940
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: VAR31, VAR29, VAR27, VAR30, VAR28

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1963,636 5 392,727 36465,520 ,000(a)
Residual 31,685 2942 1,077E-02

Total 1995,321(b) 2947


a Predictors: VAR31, VAR29, VAR27, VAR30, VAR28
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: VAR12
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 VAR27 1,018 ,004 ,903 ,003 264,226 ,000 1,011 1,026 ,984 ,980 ,614 ,463 2,162
VAR28 7,673E-02 ,004 ,205 ,011 18,308 ,000 ,069 ,085 ,268 ,320 ,043 ,043 23,243
VAR29 -,156 ,036 -,048 ,011 -4,389 ,000 -,226 -,086 ,278 -,081 -,010 ,045 22,089
VAR30 ,346 ,014 ,234 ,010 23,871 ,000 ,317 ,374 -,443 ,403 ,055 ,056 17,790
VAR31 -4,449E-02 ,002 -,310 ,011 -28,107 ,000 -,048 -,041 -,509 -,460 -,065 ,044 22,476
a Dependent Variable: VAR12
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR31 VAR29 VAR27 VAR30 VAR28
1 Correlations VAR31 1,000 -,113 ,530 -,948 -,035
VAR29 -,113 1,000 -,001 ,184 -,960
VAR27 ,530 -,001 1,000 -,347 -,157
VAR30 -,948 ,184 -,347 1,000 -,077
VAR28 -,035 -,960 -,157 -,077 1,000
Covariances VAR31 2,506E-06 -6,341E-06 3,232E-06 -2,173E-05 -2,331E-07
VAR29 -6,341E-06 1,263E-03 -1,564E-07 9,465E-05 -1,430E-04
VAR27 3,232E-06 -1,564E-07 1,485E-05 -1,936E-05 -2,537E-06
VAR30 -2,173E-05 9,465E-05 -1,936E-05 2,095E-04 -4,697E-06
VAR28 -2,331E-07 -1,430E-04 -2,537E-06 -4,697E-06 1,756E-05
a Dependent Variable: VAR12
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR31 VAR29 VAR27 VAR30 VAR28 VAR12
1 VAR31 22,476(xx) -2,511 3,693 -18,961 -,803 ,310(xy)
VAR29 -2,511 22,089(xx) -,008 3,647 -21,753 ,048(xy)
VAR27 3,693 -,008 2,162(xx) -2,153 -1,113 -,903(xy)
VAR30 -18,961 3,647 -2,153 17,790(xx) -1,575 -,234(xy)
VAR28 -,803 -21,753 -1,113 -1,575 23,243(xx) -,205(xy)
VAR12 -,310(yx) -,048(yx) ,903(yx) ,234(yx) ,205(yx) ,016(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: VAR12
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR27 VAR28 VAR29 VAR30 VAR31
1 1 2,722 1,000 ,01 ,00 ,00 ,01 ,00
2 1,809 1,227 ,09 ,01 ,01 ,00 ,00
3 ,421 2,542 ,66 ,00 ,01 ,03 ,01
4 2,611E-02 10,209 ,23 ,23 ,12 ,68 ,78
5 2,166E-02 11,210 ,02 ,76 ,86 ,28 ,20
a Dependent Variable: VAR12
b Linear Regression through the Origin

EQUATION 17

Regression

Notes
Output Created 19-OCT-2004 09:43:08
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT
var32 /METHOD=ENTER var13 var20.
Resources Memory Required 2428 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 VAR20, VAR13(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR32





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 ,952(a) ,907 ,907 ,1663 ,907 14285,432 2 2944 ,000 -10571,607 ,094 3,000 -10553,641
a Predictors: (Constant), VAR20, VAR13

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 789,881 2 394,940 14285,432 ,000(a)
Residual 81,391 2944 2,765E-02

Total 871,271 2946


a Predictors: (Constant), VAR20, VAR13
b Dependent Variable: VAR32



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) 1,508 ,006

234,682 ,000 1,496 1,521




VAR13 -3,406 ,038 -1,945 ,022 -89,639 ,000 -3,480 -3,331 -,911 -,855 -,505 ,067 14,836
VAR20 2,032 ,041 1,071 ,022 49,361 ,000 1,952 2,113 -,807 ,673 ,278 ,067 14,836
a Dependent Variable: VAR32

Coefficient Correlations(a)
Model VAR20 VAR13
1 Correlations VAR20 1,000 -,966
VAR13 -,966 1,000
Covariances VAR20 1,695E-03 -1,511E-03
VAR13 -1,511E-03 1,444E-03
a Dependent Variable: VAR32

Swept Correlation Matrix(a)

Columns
Model Rows VAR20 VAR13 VAR32
1 VAR20 14,836(xx) -14,328 -1,071(xy)
VAR13 -14,328 14,836(xx) 1,945(xy)
VAR32 1,071(yx) -1,945(yx) ,093(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: VAR32



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) VAR13 VAR20
1 1 2,616 1,000 ,02 ,00 ,00
2 ,369 2,663 ,42 ,00 ,03
3 1,506E-02 13,182 ,56 ,99 ,97
a Dependent Variable: VAR32

EQUATION 18

Regression

Notes
Output Created 19-OCT-2004 09:43:09
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT
var32 /METHOD=ENTER var13 var20 var21.
Resources Memory Required 2668 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 VAR21, VAR13, VAR20(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR32





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 ,958(a) ,917 ,917 ,1566 ,917 10867,770 3 2943 ,000 -10925,359 ,083 4,000 -10901,405
a Predictors: (Constant), VAR21, VAR13, VAR20

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 799,136 3 266,379 10867,770 ,000(a)
Residual 72,136 2943 2,451E-02

Total 871,271 2946


a Predictors: (Constant), VAR21, VAR13, VAR20
b Dependent Variable: VAR32



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) 1,604 ,008

205,822 ,000 1,589 1,619




VAR13 -5,056 ,092 -2,887 ,053 -54,871 ,000 -5,236 -4,875 -,911 -,711 -,291 ,010 98,412
VAR20 6,626 ,240 3,492 ,126 27,660 ,000 6,157 7,096 -,807 ,454 ,147 ,002 566,494
VAR21 -3,250 ,167 -1,534 ,079 -19,432 ,000 -3,578 -2,922 -,721 -,337 -,103 ,005 221,516
a Dependent Variable: VAR32

Coefficient Correlations(a)
Model VAR21 VAR13 VAR20
1 Correlations VAR21 1,000 ,922 -,987
VAR13 ,922 1,000 -,970
VAR20 -,987 -,970 1,000
Covariances VAR21 2,797E-02 1,420E-02 -3,954E-02
VAR13 1,420E-02 8,490E-03 -2,141E-02
VAR20 -3,954E-02 -2,141E-02 5,739E-02
a Dependent Variable: VAR32

Swept Correlation Matrix(a)

Columns
Model Rows VAR21 VAR13 VAR20 VAR32
1 VAR21 221,516(xx) 136,064 -349,573 1,534(xy)
VAR13 136,064 98,412(xx) -229,049 2,887(xy)
VAR20 -349,573 -229,049 566,494(xx) -3,492(xy)
VAR32 -1,534(yx) -2,887(yx) 3,492(yx) ,083(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: VAR32



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) VAR13 VAR20 VAR21
1 1 3,471 1,000 ,01 ,00 ,00 ,00
2 ,488 2,667 ,21 ,00 ,00 ,00
3 4,021E-02 9,292 ,28 ,05 ,00 ,03
4 6,331E-04 74,045 ,51 ,95 1,00 ,97
a Dependent Variable: VAR32

EQUATION 19

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:09
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 a1=1 a2=1.
COMPUTE PRED_6 =0.3+b1*ln(0.3-(0.3-(exp(-0.3/a1))*(var13** a2))).
NLR var12 /PRED PRED_6.
Resources Elapsed Time 0:00:01,70

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          A1          A2

     1      21665,87892  1,00000000  1,00000000  1,00000000

>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 1  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 2  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 3  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 4  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 5  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 6  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 7  Current splitfile group: 1






>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 8  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 9  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 445  Current case: 10  Current splitfile group: 1


>Warning # 92
>The limit of MXWARNS warnings in this data pass has been printed.  Further
>warnings have been suppressed.

     1.1     2954457104  -99,567723  -98,420822  100,296276
     1.2    73214233,72  -9,5677232  -8,4208197  10,2962756
     1.3    347,7701916  -,36456974  ,782334059  1,09312212
     2      347,7701916  -,36456974  ,782334059  1,09312212
     2.1    86160,07274  ,677322580  -,91776456  3,86856892
     2.2    51,86888680  -,18042290  ,922880572  1,29671377
     3      51,86888680  -,18042290  ,922880572  1,29671377
     3.1    54,28990677  -,12367157  ,861994931  1,91238390
     3.2    40,82435576  -,16963828  1,09711912  1,58201744
     4      40,82435576  -,16963828  1,09711912  1,58201744
     4.1    52,77471143  -,11118406  ,773833021  2,14528932
     4.2    40,76835034  -,16538225  1,12435454  1,63984633
     5      40,76835034  -,16538225  1,12435454  1,63984633
     5.1    40,78629829  -,15398131  1,04827537  1,75438063
     5.2    40,76780671  -,16436963  1,11890058  1,65137529
     6      40,76780671  -,16436963  1,11890058  1,65137529
     6.1    40,76783494  -,16665725  1,13446476  1,62846321
     6.2    40,76780521  -,16460450  1,12049128  1,64908653
     7      40,76780521  -,16460450  1,12049128  1,64908653
     7.1    40,76780524  -,16501693  1,12330031  1,64495804

Run stopped after 21 model evaluations and 7 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08






Nonlinear Regression Summary Statistics     Dependent Variable VAR12

  Source                 DF  Sum of Squares  Mean Square

  Regression              3     1954,55304      651,51768
  Residual             2944       40,76781         ,01385
  Uncorrected Total    2947     1995,32085

  (Corrected Total)    2946      369,50351

  R squared = 1 - Residual SS / Corrected SS =     ,88967

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  B1         -,164604503 5154,8034077 -10107,54904 10107,219835
  A1         1,120491278 35089,643028 -68801,60269 68803,843674
  A2         1,649086533 51643,280573 -101258,9518 101262,24996

  Asymptotic Correlation Matrix of the Parameter Estimates

                  B1        A1        A2

  B1          1,0000   -1,0000    1,0000
  A1         -1,0000    1,0000   -1,0000
  A2          1,0000   -1,0000    1,0000


EQUATION 20

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:10
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 a1=1 a2=1 .
COMPUTE PRED_7 = b1+b2*ln(1-(var13 ** a1)*(1+(exp(-a2)))).
NLR var12 /PRED PRED_7.
Resources Elapsed Time 0:00:00,32

All the derivatives will be calculated numerically.





>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1551  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1592  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1670  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1783  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1836  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1845  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1847  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1850  Current splitfile group: 1






>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1890  Current splitfile group: 1


>Warning # 602
>The argument for the natural log function is less than or equal to zero.
>The result has been set to the system-missing value.

>Command line: 450  Current case: 1892  Current splitfile group: 1


>Warning # 92
>The limit of MXWARNS warnings in this data pass has been printed.  Further
>warnings have been suppressed.


 Iteration  Residual SS          B1          B2          A1          A2

     1      2656,635309  1,00000000  1,00000000  1,00000000  1,00000000
     1.1    139,1879452  1,33197429  ,026674473  ,134803859  2,00813848
     2      139,1879452  1,33197429  ,026674473  ,134803859  2,00813848
     2.1    ,0000000000  1,49314746  ,213848498  -,14188954  4,85521620

Run stopped after 4 model evaluations and 2 derivative evaluations.

>Error # 16623.  Command name: NLR
>The predicted value is missing or the case weight is missing or not
>positive for all cases.  Perhaps a variable needed for calculating the
>predicted value or the case weight was left off the WITH variable list.
>This command not executed.



EQUATION 21

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:11
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 b3=1 b4=1 .
COMPUTE PRED_8 = var2 ** (1/(b1+b2*var33+b3*var34+b4*var53)).
NLR var12 /PRED PRED_8.
Resources Elapsed Time 0:00:04,21

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          B2          B3          B4

     1      45,06506857  1,00000000  1,00000000  1,00000000  1,00000000
     1.1     2,0320E+17  1,20607664  -4,5354240  -,01441197  76,4746666
     1.2    40,80769456  1,02265891  ,535335022  4,01071724  1,54139113
     2      40,80769456  1,02265891  ,535335022  4,01071724  1,54139113
     2.1    28,45534200  1,05754318  -,26293546  8,64781735  -2,6475240
     3      28,45534200  1,05754318  -,26293546  8,64781735  -2,6475240
     3.1    26,49792664  1,08710737  -,22526333  22,3577368  -31,413927
     4      26,49792664  1,08710737  -,22526333  22,3577368  -31,413927
     4.1    25,49741691  ,961446138  -,09468850  45,2650470  -59,036732
     5      25,49741691  ,961446138  -,09468850  45,2650470  -59,036732
     5.1    24,33172433  ,524849582  ,007534821  110,499698  -91,485658
     6      24,33172433  ,524849582  ,007534821  110,499698  -91,485658
     6.1    23,27177769  -,45004505  -,01891165  242,997999  -96,852072
     7      23,27177769  -,45004505  -,01891165  242,997999  -96,852072
     7.1    23,15280519  -,63785960  -,02452733  269,916460  -100,42610
     8      23,15280519  -,63785960  -,02452733  269,916460  -100,42610
     8.1    23,13893738  -,74182544  -,01074055  284,729306  -104,21715
     9      23,13893738  -,74182544  -,01074055  284,729306  -104,21715
     9.1    23,13694547  -,74406148  -,01639725  285,097494  -103,68024
    10      23,13694547  -,74406148  -,01639725  285,097494  -103,68024
    10.1    23,13647933  -,75485772  -,01179487  286,670912  -104,58319
    11      23,13647933  -,75485772  -,01179487  286,670912  -104,58319
    11.1    23,13633834  -,76022460  -,01387676  287,387081  -104,28602
    12      23,13633834  -,76022460  -,01387676  287,387081  -104,28602
    12.1    23,13631744  -,76439767  -,01277351  287,989579  -104,53000
    13      23,13631744  -,76439767  -,01277351  287,989579  -104,53000
    13.1    23,13631246  -,76356281  -,01328798  287,871902  -104,45192
    14      23,13631246  -,76356281  -,01328798  287,871902  -104,45192
    14.1    23,13631080  -,76484959  -,01293294  288,054121  -104,51954
    15      23,13631080  -,76484959  -,01293294  288,054121  -104,51954
    15.1    23,13631017  -,76426080  -,01314601  287,971240  -104,48358
    16      23,13631017  -,76426080  -,01314601  287,971240  -104,48358
    16.1    23,13630991  -,76472392  -,01300489  288,036616  -104,50903
    17      23,13630991  -,76472392  -,01300489  288,036616  -104,50903
    17.1    23,13630980  -,76445412  -,01309311  287,998633  -104,49371
    18      23,13630980  -,76445412  -,01309311  287,998633  -104,49371
    18.1    23,13630976  -,76463742  -,01303661  288,024437  -104,50369

Run stopped after 37 model evaluations and 18 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08






Nonlinear Regression Summary Statistics     Dependent Variable VAR12

  Source                 DF  Sum of Squares  Mean Square

  Regression              4     1972,18454      493,04613
  Residual             2943       23,13631   7,861471E-03
  Uncorrected Total    2947     1995,32085

  (Corrected Total)    2946      369,50351

  R squared = 1 - Residual SS / Corrected SS =     ,93739

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  B1         -,764637423   ,097332295  -,955483704  -,573791142
  B2         -,013036606   ,026671751  -,065333784   ,039260573
  B3        288,02443679 13,157668029 262,22527101 313,82360257
  B4        -104,5036880  6,081055628 -116,4272418 -92,58013425

  Asymptotic Correlation Matrix of the Parameter Estimates

                  B1        B2        B3        B4

  B1          1,0000     ,1538    -,9910    -,1005
  B2           ,1538    1,0000    -,0689    -,9674
  B3          -,9910    -,0689    1,0000    -,0033
  B4          -,1005    -,9674    -,0033    1,0000


EQUATION 22

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:15
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 b3=1 b4=1 .
COMPUTE PRED_9 = var2 ** (1 / (b1+b2*var34+b3*var36+b4*var37)).
NLR var12 /PRED PRED_9.
Resources Elapsed Time 0:00:02,31

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          B2          B3          B4

     1      43,64215213  1,00000000  1,00000000  1,00000000  1,00000000
     1.1    74,87295243  1,61543002  19,5214907  12615,3963  -6,5952733
     1.2    52,65187231  1,14901576  20,8893621  -586,11393  -,84966786
     1.3    40,77425544  1,04396986  6,83594763  -238,26940  ,605310201
     2      40,77425544  1,04396986  6,83594763  -238,26940  ,605310201
     2.1    135098,8055  1,10787111  15,3428204  -422,62984  -,34984199
     2.2    40,06430495  1,04984514  7,61569895  -301,33417  ,507096720
     3      40,06430495  1,04984514  7,61569895  -301,33417  ,507096720
     3.1    38,12998901  1,06191607  9,21962249  -402,26744  ,301087389
     4      38,12998901  1,06191607  9,21962249  -402,26744  ,301087389
     4.1    31,09619583  1,08279617  12,0019331  -556,95662  -,05053425
     5      31,09619583  1,08279617  12,0019331  -556,95662  -,05053425
     5.1    37,05160801  1,11784974  16,8677141  -1858,3984  -,26057042
     5.2    28,23161688  1,08969797  12,9424802  -984,63611  -,11396333
     6      28,23161688  1,08969797  12,9424802  -984,63611  -,11396333
     6.1    24,34937546  1,10779257  15,5397353  -1863,0266  -,18432197
     7      24,34937546  1,10779257  15,5397353  -1863,0266  -,18432197
     7.1    23,26639464  1,07540173  29,1138019  -1915,4210  -,22549696
     8      23,26639464  1,07540173  29,1138019  -1915,4210  -,22549696
     8.1    22,82498752  ,904792431  50,0599153  -777,76493  -,24399974
     9      22,82498752  ,904792431  50,0599153  -777,76493  -,24399974
     9.1    22,25041950  ,571438509  97,0854223  -1626,8708  -,23919312
    10      22,25041950  ,571438509  97,0854223  -1626,8708  -,23919312
    10.1    21,59245460  -,06919055  189,159010  -4054,3213  -,21153476
    11      21,59245460  -,06919055  189,159010  -4054,3213  -,21153476
    11.1    21,44762406  -,47971323  249,432150  -5889,3832  -,19127751
    12      21,44762406  -,47971323  249,432150  -5889,3832  -,19127751
    12.1    21,44504579  -,51072061  254,527158  -6155,2676  -,18918720
    13      21,44504579  -,51072061  254,527158  -6155,2676  -,18918720
    13.1    21,44495665  -,52151605  255,994716  -6159,6006  -,18910726
    14      21,44495665  -,52151605  255,994716  -6159,6006  -,18910726
    14.1    21,44495004  -,52064327  255,910427  -6168,8267  -,18906644
    15      21,44495004  -,52064327  255,910427  -6168,8267  -,18906644
    15.1    21,44494930  -,52139129  256,003156  -6166,4943  -,18907986
    16      21,44494930  -,52139129  256,003156  -6166,4943  -,18907986
    16.1    21,44494920  -,52118636  255,978799  -6167,3887  -,18907637

Run stopped after 36 model evaluations and 16 derivative evaluations.
Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1,000E-08






Nonlinear Regression Summary Statistics     Dependent Variable VAR12

  Source                 DF  Sum of Squares  Mean Square

  Regression              4     1973,87590      493,46897
  Residual             2943       21,44495   7,286765E-03
  Uncorrected Total    2947     1995,32085

  (Corrected Total)    2946      369,50351

  R squared = 1 - Residual SS / Corrected SS =     ,94196

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  B1         -,521186364   ,100912069  -,719051759  -,323320968
  B2        255,97879879 14,553755395 227,44222625 284,51537133
  B3        -6167,388684 646,65499105 -7435,330639 -4899,446730
  B4         -,189076369   ,008275280  -,205302293  -,172850445

  Asymptotic Correlation Matrix of the Parameter Estimates

                  B1        B2        B3        B4

  B1          1,0000    -,9904     ,4939    -,4859
  B2          -,9904    1,0000    -,5884     ,5464
  B3           ,4939    -,5884    1,0000    -,9219
  B4          -,4859     ,5464    -,9219    1,0000


EQUATION 23

Regression

Notes
Output Created 19-OCT-2004 09:43:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /ORIGIN
/DEPENDENT var32 /METHOD=ENTER var38 var39 var40.
Resources Memory Required 2668 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,05

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 VAR40, VAR39, VAR38(a) , Enter
a All requested variables entered.
b Dependent Variable: VAR32
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 ,1649 ,964 26246,085 3 2944 ,000 -10618,935 ,036 3,000 -10600,970
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: VAR40, VAR39, VAR38

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2142,146 3 714,049 26246,085 ,000(a)
Residual 80,094 2944 2,721E-02

Total 2222,240(b) 2947


a Predictors: VAR40, VAR39, VAR38
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: VAR32
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 VAR38 -,848 ,007 -,665 ,006 -116,073 ,000 -,863 -,834 -,954 -,906 -,406 ,373 2,678
VAR39 8,534E-02 ,005 ,064 ,004 16,253 ,000 ,075 ,096 ,431 ,287 ,057 ,798 1,253
VAR40 2,780E-02 ,000 ,351 ,005 65,995 ,000 ,027 ,029 ,862 ,772 ,231 ,433 2,309
a Dependent Variable: VAR32
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model VAR40 VAR39 VAR38
1 Correlations VAR40 1,000 ,146 ,736
VAR39 ,146 1,000 ,395
VAR38 ,736 ,395 1,000
Covariances VAR40 1,774E-07 3,227E-07 2,266E-06
VAR39 3,227E-07 2,757E-05 1,515E-05
VAR38 2,266E-06 1,515E-05 5,340E-05
a Dependent Variable: VAR32
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows VAR40 VAR39 VAR38 VAR32
1 VAR40 2,309(xx) ,248 1,831 -,351(xy)
VAR39 ,248 1,253(xx) ,723 -,064(xy)
VAR38 1,831 ,723 2,678(xx) ,665(xy)
VAR32 ,351(yx) ,064(yx) -,665(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: VAR32
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension VAR38 VAR39 VAR40
1 1 1,975 1,000 ,08 ,08 ,08
2 ,803 1,568 ,01 ,76 ,12
3 ,223 2,977 ,91 ,16 ,80
a Dependent Variable: VAR32
b Linear Regression through the Origin

EQUATION 24

Regression

Notes
Output Created 19-OCT-2004 09:43:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
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 /STATISTICS ALL /DEPENDENT var12 /METHOD=ENTER var42 var43 var44 var45 var46 var47.
Resources Memory Required 3564 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,04

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 VAR47, VAR44, VAR45, VAR43(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: VAR12





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 ,979(a) ,958 ,958 7,259E-02 ,958 16795,494 4 2942 ,000 -15454,553 ,042 5,000 -15424,610(b)
a Predictors: (Constant), VAR47, VAR44, VAR45, VAR43
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: VAR42, VAR46

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 354,001 4 88,500 16795,494 ,000(a)
Residual 15,502 2942 5,269E-03

Total 369,504 2946


a Predictors: (Constant), VAR47, VAR44, VAR45, VAR43
b Dependent Variable: VAR12



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) 5,308 ,443

11,989 ,000 4,440 6,176




VAR43 -5,019 ,280 -5,241 ,293 -17,909 ,000 -5,568 -4,469 -,954 -,314 -,068 ,000 6005,555
VAR44 2,366 ,163 2,218 ,153 14,533 ,000 2,047 2,686 -,602 ,259 ,055 ,001 1633,356
VAR45 -3,171 ,422 -1,203 ,160 -7,516 ,000 -3,999 -2,344 ,914 -,137 -,028 ,001 1795,686
VAR47 -,839 ,033 -1,690 ,067 -25,189 ,000 -,905 -,774 ,952 -,421 -,095 ,003 315,772
a Dependent Variable: VAR12





Excluded Variables(b)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 VAR42 -133,077(a) -12,977 ,000 -,233 1,283E-07 7794457,558 1,283E-07
VAR46 -100,106(a) -11,525 ,000 -,208 1,809E-07 5528072,186 1,809E-07
a Predictors in the Model: (Constant), VAR47, VAR44, VAR45, VAR43
b Dependent Variable: VAR12

Coefficient Correlations(a)
Model VAR47 VAR44 VAR45 VAR43
1 Correlations VAR47 1,000 -,684 ,516 ,725
VAR44 -,684 1,000 -,977 -,998
VAR45 ,516 -,977 1,000 ,964
VAR43 ,725 -,998 ,964 1,000
Covariances VAR47 1,110E-03 -3,712E-03 7,254E-03 6,772E-03
VAR44 -3,712E-03 2,651E-02 -6,712E-02 -4,554E-02
VAR45 7,254E-03 -6,712E-02 ,178 ,114
VAR43 6,772E-03 -4,554E-02 ,114 7,853E-02
a Dependent Variable: VAR12

Swept Correlation Matrix(a)

Columns
Model Rows VAR47 VAR44 VAR45 VAR43 VAR12 VAR42 VAR46
1 VAR47 315,772(xx) -491,301 388,509 998,830 1,690(xy) -,228(x~) -,340(x~)
VAR44 -491,301 1633,356(xx) -1673,050 -3125,676 -2,218(xy) ,130(x~) -,073(x~)
VAR45 388,509 -1673,050 1795,686(xx) 3164,660 1,203(xy) ,463(x~) -,579(x~)
VAR43 998,830 -3125,676 3164,660 6005,555(xx) 5,241(xy) -,886(x~) ,128(x~)
VAR12 -1,690(yx) 2,218(yx) -1,203(yx) -5,241(yx) ,042(yy) ,000(y~) ,000(y~)
VAR42 ,228(~x) -,130(~x) -,463(~x) ,886(~x) ,000(~y) ,000(~~) ,000
VAR46 ,340(~x) ,073(~x) ,579(~x) -,128(~x) ,000(~y) ,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: VAR12



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) VAR43 VAR44 VAR45 VAR47
1 1 3,657 1,000 ,00 ,00 ,00 ,00 ,00
2 1,227 1,726 ,00 ,00 ,00 ,00 ,00
3 ,115 5,628 ,00 ,00 ,00 ,00 ,00
4 6,417E-04 75,491 ,00 ,04 ,02 ,00 ,67
5 4,675E-06 884,429 1,00 ,96 ,98 1,00 ,33
a Dependent Variable: VAR12

EQUATION 25

Non-linear Regression

Notes
Output Created 19-OCT-2004 09:43:17
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\TaperEquation\dhi_hi_d_h.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 2955
Syntax MODEL PROGRAM b1=1 b2=1 b3=1 b4=1 b5=1 b6=1 b7=1 .
COMPUTE PRED_10 = var41**(1/(b1+b2*var48+b3*var49+b4*var50+b5*D
+b6*var51+b7*var52)).
NLR var12 /PRED PRED_10.
Resources Elapsed Time 0:00:06,20

All the derivatives will be calculated numerically.





 Iteration  Residual SS          B1          B2          B3          B4
                                 B5          B6          B7

     1      641,6202240  1,00000000  1,00000000  1,00000000  1,00000000
                         1,00000000  1,00000000  1,00000000
     1.1     7,8613E+35  11,8603676  -20,424631  -14,900260  1,05838268
                         70,3910394  -111,34726  2,67782037
     1.2     1,3819E+30  ,830380591  -1,8338805  ,185708843  ,921213555
                         14,2536711  -6,0069141  ,789494191
     1.3    448,2186518  ,860709085  ,774160216  1,23417715  1,02711816
                         ,767033512  ,456695095  ,939836018
     2      448,2186518  ,860709085  ,774160216  1,23417715  1,02711816
                         ,767033512  ,456695095  ,939836018
     2.1     2,0993E+39  ,759160731  ,589830510  1,45607097  1,05186120
                         ,190292117  -,21295889  ,875923324
     2.2    441,6384992  ,849433057  ,755328851  1,25580562  1,02942199
                         ,706019889  ,391278882  ,933621008
     3      441,6384992  ,849433057  ,755328851  1,25580562  1,02942199
                         ,706019889  ,391278882  ,933621008
     3.1    432,0034437  ,829491100  ,721259874  1,29562661  1,03357243
                         ,597178863  ,271744200  ,922254674
     4      432,0034437  ,829491100  ,721259874  1,29562661  1,03357243
                         ,597178863  ,271744200  ,922254674
     4.1    418,9823540  ,792607489  ,653765006  1,37870218  1,04187253
                         ,388362928  ,027220134  ,898981515
     5      418,9823540  ,792607489  ,653765006  1,37870218  1,04187253
                         ,388362928  ,027220134  ,898981515
     5.1    38758,28532  ,742398269  ,522990534  1,57873392  1,05685870
                         ,061188432  -,49763913  ,849210222
     5.2    416,9863312  ,785799487  ,640013237  1,39734241  1,04323969
                         ,350520611  -,02296579  ,894210610
     6      416,9863312  ,785799487  ,640013237  1,39734241  1,04323969
                         ,350520611  -,02296579  ,894210610
     6.1    413,5178862  ,773735972  ,614683093  1,43288531  1,04557686
                         ,283985354  -,11568704  ,885399294
     7      413,5178862  ,773735972  ,614683093  1,43288531  1,04557686
                         ,283985354  -,11568704  ,885399294
     7.1     4,2105E+11  ,752452232  ,567767860  1,50233927  1,04906281
                         ,171832529  -,28583528  ,869229235
     7.2    412,8106784  ,771211417  ,609367371  1,44051268  1,04597507
                         ,270806650  -,13472997  ,883588504
     8      412,8106784  ,771211417  ,609367371  1,44051268  1,04597507
                         ,270806650  -,13472997  ,883588504
     8.1    411,3961927  ,766228350  ,598806790  1,45580806  1,04672687
                         ,245087166  -,17244351  ,880002030
     9      411,3961927  ,766228350  ,598806790  1,45580806  1,04672687
                         ,245087166  -,17244351  ,880002030
     9.1     5,3816E+17  ,756338367  ,577675128  1,48690465  1,04807383
                         ,195300006  -,24732242  ,872879366
     9.2    411,0989258  ,765177623  ,596597008  1,45902006  1,04686928
                         ,239799378  -,18024690  ,879259614





 Iteration  Residual SS          B1          B2          B3          B4
                                 B5          B6          B7

    10      411,0989258  ,765177623  ,596597008  1,45902006  1,04686928
                         ,239799378  -,18024690  ,879259614
    10.1     3,4943E+77  ,763076937  ,592173036  1,46547028  1,04714788
                         ,229280032  -,19584422  ,877775586

>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1201  Current splitfile group: 1


>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1242  Current splitfile group: 1


>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1320  Current splitfile group: 1

    10.2    409,7742485  ,764965002  ,596150633  1,45966925  1,04689746
                         ,238734650  -,18181963  ,879109969

>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1201  Current splitfile group: 1


>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1242  Current splitfile group: 1






>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1320  Current splitfile group: 1

    11      409,7742485  ,764965002  ,596150633  1,45966925  1,04689746
                         ,238734650  -,18181963  ,879109969
    11.1     4,6660+293  ,764539776  ,595257682  1,46096870  1,04695357
                         ,236607373  -,18496479  ,878810704

>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1201  Current splitfile group: 1


>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1242  Current splitfile group: 1


>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1320  Current splitfile group: 1

    11.2    409,7621927  ,764922377  ,596061178  1,45979936  1,04690309
                         ,238521407  -,18213467  ,879079993

>Warning # 524
>During the execution of the indicated command, an attempt was made to
>perform exponentiation for which the result would have been outside the
>range of the computer, i.e.  a magnitude smaller than 10**(-307) or greater
>than 10**308.  The result has been set to the system-missing value.

>Command line: 470  Current case: 1201  Current splitfile group: 1






>Warning # 92
>The limit of MXWARNS warnings in this data pass has been printed.  Further
>warnings have been suppressed.

    12      409,7621927  ,764922377  ,596061178  1,45979936  1,04690309
                         ,238521407  -,18213467  ,879079993
    12.1    409,7380736  ,764837126  ,595882259  1,46005963  1,04691432
                         ,238095008  -,18276473  ,879020041
    13      409,7380736  ,764837126  ,595882259  1,46005963  1,04691432
                         ,238095008  -,18276473  ,879020041
    13.1    409,6898055  ,764666628  ,595524388  1,46058034  1,04693676
                         ,237242555  -,18402482  ,878900140
    14      409,6898055  ,764666628  ,595524388  1,46058034  1,04693676
                         ,237242555  -,18402482  ,878900140
    14.1     4,8793+208  ,764325632  ,594808502  1,46162249  1,04698146
                         ,235539003  -,18654487  ,878660349
    14.2    409,6801336  ,764632463  ,595452697  1,46068466  1,04694123
                         ,237071871  -,18427716  ,878876129
    15      409,6801336  ,764632463  ,595452697  1,46068466  1,04694123
                         ,237071871  -,18427716  ,878876129
    15.1    409,6607849  ,764564133  ,595309310  1,46089333  1,04695019
                         ,236730557  -,18478183  ,878828108
    16      409,6607849  ,764564133  ,595309310  1,46089333  1,04695019
                         ,236730557  -,18478183  ,878828108
    16.1     1,1753+242  ,764427472  ,595022513  1,46131079  1,04696806
                         ,236048144  -,18579115  ,878732066
    16.2     8,8148+299  ,764550456  ,595280614  1,46093510  1,04695198
                         ,236662263  -,18488282  ,878818498
    16.3     1,6697+301  ,764562765  ,595306441  1,46089751  1,04695037
                         ,236723727  -,18479193  ,878827147
    16.4    409,6607461  ,764563996  ,595309023  1,46089375  1,04695020
                         ,236729874  -,18478284  ,878828012
    17      409,6607461  ,764563996  ,595309023  1,46089375  1,04695020
                         ,236729874  -,18478284  ,878828012
    17.1    409,6606687  ,764563722  ,595308449  1,46089459  1,04695024
                         ,236728508  -,18478486  ,878827819
    18      409,6606687  ,764563722  ,595308449  1,46089459  1,04695024
                         ,236728508  -,18478486  ,878827819
    18.1    409,6605138  ,764563175  ,595307302  1,46089626  1,04695031
                         ,236725776  -,18478890  ,878827435
    19      409,6605138  ,764563175  ,595307302  1,46089626  1,04695031
                         ,236725776  -,18478890  ,878827435
    19.1     6,6212+300  ,764562081  ,595305006  1,46089960  1,04695045
                         ,236720312  -,18479698  ,878826666
    19.2    409,6604828  ,764563066  ,595307072  1,46089659  1,04695033
                         ,236725230  -,18478971  ,878827358
    20      409,6604828  ,764563066  ,595307072  1,46089659  1,04695033
                         ,236725230  -,18478971  ,878827358
    20.1     1,8660+301  ,764562847  ,595306613  1,46089726  1,04695035
                         ,236724137  -,18479132  ,878827204
    20.2    409,6604766  ,764563044  ,595307026  1,46089666  1,04695033
                         ,236725121  -,18478987  ,878827343




    21      409,6604766  ,764563044  ,595307026  1,46089666  1,04695033
                         ,236725121  -,18478987  ,878827343
    21.1    409,6604642  ,764563000  ,595306934  1,46089679  1,04695033
                         ,236724902  -,18479019  ,878827312
    22      409,6604642  ,764563000  ,595306934  1,46089679  1,04695033
                         ,236724902  -,18479019  ,878827312
    22.1     2,0396+301  ,764562913  ,595306751  1,46089706  1,04695035
                         ,236724465  -,18479084  ,878827250

Run stopped after 58 model evaluations and 22 derivative evaluations.
Iterations have been stopped because the relative difference between
successive parameter estimates is at most PCON = 1,000E-08


Nonlinear Regression Summary Statistics     Dependent Variable VAR12

  Source                 DF  Sum of Squares  Mean Square

  Regression              7     1584,77149      226,39593
  Residual             2940      409,66046         ,13934
  Uncorrected Total    2947     1994,43196

  (Corrected Total)    2946      369,49193

  R squared = 1 - Residual SS / Corrected SS =    -,10871

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  B1          ,764563000   ,962684431 -1,123040913  2,652166913
  B2          ,595306934  2,829159803 -4,952028144  6,142642013
  B3         1,460896791   ,686591332   ,114648277  2,807145305
  B4         1,046950334   ,041207444   ,966151964  1,127748704
  B5          ,236724902  5,810289159 -11,15592278 11,629372584
  B6         -,184790194 20,465256981 -40,31247681 39,942896421
  B7          ,878827312  1,734763705 -2,522647409  4,280302033

  Asymptotic Correlation Matrix of the Parameter Estimates

                  B1        B2        B3        B4        B5        B6        B7

  B1          1,0000    -,7456    -,7160     ,0267    -,5281     ,3512    -,1874
  B2          -,7456    1,0000     ,3285     ,1911     ,6249    -,2885    -,1671
  B3          -,7160     ,3285    1,0000    -,2887    -,1888     ,0374     ,1284
  B4           ,0267     ,1911    -,2887    1,0000     ,3485    -,1038    -,0918
  B5          -,5281     ,6249    -,1888     ,3485    1,0000    -,5652     ,1423
  B6           ,3512    -,2885     ,0374    -,1038    -,5652    1,0000    -,8379
  B7          -,1874    -,1671     ,1284    -,0918     ,1423    -,8379    1,0000