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