EQUATION 1

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dsq TO DdDl/ STATISTICS = all/ DEPENDENT = H/
METHOD = STEPWISE.
Resources Memory Required 7492 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(a)
Model Variables Entered Variables Removed Method
1 DL2 , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 D2R , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
3 D , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: H





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 ,968(a) ,937 ,936 ,72 ,937 5136,827 1 348 ,000 -223,223 ,064 41,279 -215,507(b)
2 ,968(c) ,938 ,938 ,72 ,001 7,774 1 347 ,006 -228,978 ,063 34,792 -217,404(b)
3 ,971(d) ,943 ,943 ,69 ,005 32,780 1 346 ,000 -258,659 ,058 4,011 -243,227(b)
a Predictors: (Constant), DL2
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, DSR, DR, DSRR, D1R, D10R, DDD, DL, D2L, DL2
c Predictors: (Constant), DL2, D2R
d Predictors: (Constant), DL2, D2R, D

ANOVA(d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2699,208 1 2699,208 5136,827 ,000(a)
Residual 182,861 348 ,525

Total 2882,069 349


2 Regression 2703,215 2 1351,607 2622,299 ,000(b)
Residual 178,854 347 ,515

Total 2882,069 349


3 Regression 2718,693 3 906,231 1919,235 ,000(c)
Residual 163,375 346 ,472

Total 2882,069 349


a Predictors: (Constant), DL2
b Predictors: (Constant), DL2, D2R
c Predictors: (Constant), DL2, D2R, D
d Dependent Variable: H



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) 29,774 ,232

128,144 ,000 29,317 30,231




DL2 -3,027 ,042 -,968 ,014 -71,672 ,000 -3,110 -2,944 -,968 -,968 -,968 1,000 1,000
2 (Constant) 31,375 ,619

50,699 ,000 30,158 32,593




DL2 -3,557 ,195 -1,137 ,062 -18,277 ,000 -3,940 -3,174 -,968 -,700 -,244 ,046 21,647
D2R 1,138E-02 ,004 ,173 ,062 2,788 ,006 ,003 ,019 -,937 ,148 ,037 ,046 21,647
3 (Constant) 64,184 5,761

11,141 ,000 52,853 75,515




DL2 -8,709 ,919 -2,784 ,294 -9,477 ,000 -10,517 -6,902 -,968 -,454 -,121 ,002 526,782
D2R 6,785E-02 ,011 1,035 ,162 6,396 ,000 ,047 ,089 -,937 ,325 ,082 ,006 159,736
D -111,487 19,472 -,830 ,145 -5,725 ,000 -149,787 -73,188 ,941 -,294 -,073 ,008 128,351
a Dependent Variable: H





Excluded Variables(d)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D ,032(a) ,569 ,570 ,031 5,749E-02 17,394 5,749E-02
DSQ -,004(a) -,117 ,907 -,006 ,172 5,810 ,172
DCU -,018(a) -,752 ,452 -,040 ,333 3,001 ,333
DSR ,078(a) ,888 ,375 ,048 2,361E-02 42,359 2,361E-02
DR ,386(a) 2,357 ,019 ,126 6,699E-03 149,284 6,699E-03
D2R ,173(a) 2,788 ,006 ,148 4,620E-02 21,647 4,620E-02
DSRR 6,341(a) 4,192 ,000 ,220 7,605E-05 13149,897 7,605E-05
D1R -,054(a) -,816 ,415 -,044 4,151E-02 24,091 4,151E-02
D10R -,034(a) -,596 ,551 -,032 5,556E-02 17,998 5,556E-02
DDD ,054(a) ,816 ,415 ,044 4,151E-02 24,091 4,151E-02
DL ,207(a) 1,084 ,279 ,058 5,017E-03 199,314 5,017E-03
D2L ,207(a) 1,084 ,279 ,058 5,017E-03 199,314 5,017E-03
DDDL ,307(a) 1,251 ,212 ,067 3,013E-03 331,939 3,013E-03
2 D -,830(b) -5,725 ,000 -,294 7,791E-03 128,351 1,898E-03
DSQ -,374(b) -5,708 ,000 -,293 3,827E-02 26,127 5,141E-03
DCU -,219(b) -5,611 ,000 -,289 ,107 9,305 9,612E-03
DSR -1,490(b) -5,710 ,000 -,293 2,407E-03 415,430 8,678E-04
DR -10,388(b) -5,332 ,000 -,276 4,367E-05 22897,846 4,367E-05
DSRR 32,389(b) 5,774 ,000 ,296 5,198E-06 192369,602 5,198E-06
D1R 1,087(b) 5,716 ,000 ,294 4,530E-03 220,746 1,283E-03
D10R ,854(b) 5,725 ,000 ,294 7,360E-03 135,870 1,823E-03
DDD -1,087(b) -5,716 ,000 -,294 4,530E-03 220,746 1,283E-03
DL -3,563(b) -5,694 ,000 -,293 4,188E-04 2387,548 2,444E-04
D2L -3,563(b) -5,694 ,000 -,293 4,188E-04 2387,548 2,444E-04
DDDL -5,039(b) -5,674 ,000 -,292 2,080E-04 4806,599 1,351E-04
3 DSQ -,021(c) -,026 ,980 -,001 2,450E-04 4081,245 4,988E-05
DCU ,042(c) ,174 ,862 ,009 2,855E-03 350,314 1,431E-04
DSR 2,359(c) ,313 ,754 ,017 2,897E-06 345127,122 2,897E-06
DR 5,253(c) ,688 ,492 ,037 2,814E-06 355367,955 2,814E-06
DSRR 23,888(c) ,762 ,447 ,041 1,669E-07 5991845,965 1,669E-07
D1R -,751(c) -,143 ,887 -,008 5,934E-06 168526,884 5,934E-06
D10R -1,413(c) -,039 ,969 -,002 1,224E-07 8167741,304 1,224E-07
DDD ,751(c) ,143 ,887 ,008 5,934E-06 168526,884 5,934E-06
DL 4,277(c) ,372 ,710 ,020 1,240E-06 806205,800 1,240E-06
D2L 4,277(c) ,372 ,710 ,020 1,240E-06 806205,800 1,240E-06
DDDL 4,794(c) ,407 ,684 ,022 1,183E-06 845158,321 1,183E-06
a Predictors in the Model: (Constant), DL2
b Predictors in the Model: (Constant), DL2, D2R
c Predictors in the Model: (Constant), DL2, D2R, D
d Dependent Variable: H

Coefficient Correlations(a)
Model DL2 D2R D
1 Correlations DL2 1,000

Covariances DL2 1,784E-03

2 Correlations DL2 1,000 -,977
D2R -,977 1,000
Covariances DL2 3,788E-02 -7,755E-04
D2R -7,755E-04 1,665E-05
3 Correlations DL2 1,000 -,983 ,979
D2R -,983 1,000 -,930
D ,979 -,930 1,000
Covariances DL2 ,844 -9,586E-03 17,522
D2R -9,586E-03 1,125E-04 -,192
D 17,522 -,192 379,176
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DL2 H D DSQ DCU DSR DR D2R DSRR D1R D10R DDD DL D2L DDDL
1 DL2 1,000(xx) ,968(xy) ,971(x~) ,910(x~) ,817(x~) ,988(x~) -,997(x~) -,977(x~) -1,000(x~) -,979(x~) -,972(x~) ,979(x~) ,997(x~) ,997(x~) ,998(x~)
H -,968(yx) ,063(yy) ,002(y~) -,001(y~) -,006(y~) ,002(y~) ,003(y~) ,008(y~) ,000(y~) -,002(y~) -,002(y~) ,002(y~) ,001(y~) ,001(y~) ,001(y~)
D -,971(~x) ,002(~y) ,057(~~) ,099 ,134 ,037 ,019 ,048 ,002 -,049 -,057 ,049 ,017 ,017 ,013
DSQ -,910(~x) -,001(~y) ,099 ,172(~~) ,238 ,063 ,031 ,079 ,003 -,083 -,097 ,083 ,029 ,029 ,022
DCU -,817(~x) -,006(~y) ,134 ,238 ,333(~~) ,085 ,041 ,102 ,003 -,113 -,132 ,113 ,039 ,039 ,030
DSR -,988(~x) ,002(~y) ,037 ,063 ,085 ,024(~~) ,012 ,031 ,001 -,031 -,036 ,031 ,011 ,011 ,008
DR ,997(~x) ,003(~y) ,019 ,031 ,041 ,012 ,007(~~) ,018 ,001 -,016 -,018 ,016 ,006 ,006 ,004
D2R ,977(~x) ,008(~y) ,048 ,079 ,102 ,031 ,018 ,046(~~) ,002 -,041 -,047 ,041 ,015 ,015 ,011
DSRR 1,000(~x) ,000(~y) ,002 ,003 ,003 ,001 ,001 ,002 ,000(~~) -,001 -,002 ,001 ,001 ,001 ,000
D1R ,979(~x) -,002(~y) -,049 -,083 -,113 -,031 -,016 -,041 -,001 ,042(~~) ,048 -,042 -,014 -,014 -,011
D10R ,972(~x) -,002(~y) -,057 -,097 -,132 -,036 -,018 -,047 -,002 ,048 ,056(~~) -,048 -,017 -,017 -,013
DDD -,979(~x) ,002(~y) ,049 ,083 ,113 ,031 ,016 ,041 ,001 -,042 -,048 ,042(~~) ,014 ,014 ,011
DL -,997(~x) ,001(~y) ,017 ,029 ,039 ,011 ,006 ,015 ,001 -,014 -,017 ,014 ,005(~~) ,005 ,004
D2L -,997(~x) ,001(~y) ,017 ,029 ,039 ,011 ,006 ,015 ,001 -,014 -,017 ,014 ,005 ,005(~~) ,004
DDDL -,998(~x) ,001(~y) ,013 ,022 ,030 ,008 ,004 ,011 ,000 -,011 -,013 ,011 ,004 ,004 ,003(~~)
2 DL2 21,647(xx) 1,137(xy) 1,984(x~) 2,572(x~) 2,976(x~) 1,650(x~) -,626(x~) -21,141 -,962(x~) -1,853(x~) -1,969(x~) 1,853(x~) 1,306(x~) 1,306(x~) 1,239(x~)
H -1,137(yx) ,062(yy) -,006(y~) -,014(y~) -,024(y~) -,004(y~) ,000(y~) ,173(yx) ,000(y~) ,005(y~) ,006(y~) -,005(y~) -,001(y~) -,001(y~) -,001(y~)
D -1,984(~x) -,006(~y) ,008(~~) ,017 ,029 ,004 ,001 1,037(~x) ,000 -,006 -,008 ,006 ,002 ,002 ,001
DSQ -2,572(~x) -,014(~y) ,017 ,038(~~) ,064 ,010 ,001 1,702(~x) ,000 -,013 -,017 ,013 ,004 ,004 ,003
DCU -2,976(~x) -,024(~y) ,029 ,064 ,107(~~) ,016 ,002 2,211(~x) -,001 -,022 -,028 ,022 ,007 ,007 ,005
DSR -1,650(~x) -,004(~y) ,004 ,010 ,016 ,002(~~) ,000 ,677(~x) ,000 -,003 -,004 ,003 ,001 ,001 ,001
DR ,626(~x) ,000(~y) ,001 ,001 ,002 ,000 ,000(~~) ,380(~x) ,000 ,000 -,001 ,000 ,000 ,000 ,000
D2R -21,141 -,173(xy) -1,037(x~) -1,702(x~) -2,211(x~) -,677(x~) -,380(x~) 21,647(xx) -,039(x~) ,895(x~) 1,021(x~) -,895(x~) -,316(x~) -,316(x~) -,246(x~)
DSRR ,962(~x) ,000(~y) ,000 ,000 -,001 ,000 ,000 ,039(~x) ,000(~~) ,000 ,000 ,000 ,000 ,000 ,000
D1R 1,853(~x) ,005(~y) -,006 -,013 -,022 -,003 ,000 -,895(~x) ,000 ,005(~~) ,006 -,005 -,001 -,001 -,001
D10R 1,969(~x) ,006(~y) -,008 -,017 -,028 -,004 -,001 -1,021(~x) ,000 ,006 ,007(~~) -,006 -,002 -,002 -,001
DDD -1,853(~x) -,005(~y) ,006 ,013 ,022 ,003 ,000 ,895(~x) ,000 -,005 -,006 ,005(~~) ,001 ,001 ,001
DL -1,306(~x) -,001(~y) ,002 ,004 ,007 ,001 ,000 ,316(~x) ,000 -,001 -,002 ,001 ,000(~~) ,000 ,000
D2L -1,306(~x) -,001(~y) ,002 ,004 ,007 ,001 ,000 ,316(~x) ,000 -,001 -,002 ,001 ,000 ,000(~~) ,000
DDDL -1,239(~x) -,001(~y) ,001 ,003 ,005 ,001 ,000 ,246(~x) ,000 -,001 -,001 ,001 ,000 ,000 ,000(~~)
3 DL2 526,782(xx) 2,784(xy) 254,626 -1,811(x~) -4,294(x~) ,548(x~) -,770(x~) -285,250 -,911(x~) -,341(x~) -,041(x~) ,341(x~) ,846(x~) ,846(x~) ,916(x~)
H -2,784(yx) ,057(yy) -,830(yx) ,000(y~) ,000(y~) ,000(y~) ,000(y~) 1,035(yx) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~)
D 254,626 ,830(xy) 128,351(xx) -2,209(x~) -3,664(x~) -,556(x~) -,072(x~) -133,131 ,025(x~) ,762(x~) ,972(x~) -,762(x~) -,232(x~) -,232(x~) -,163(x~)
DSQ 1,811(~x) ,000(~y) 2,209(~x) ,000(~~) ,001 ,000 ,000 -,590(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000
DCU 4,294(~x) ,000(~y) 3,664(~x) ,001 ,003(~~) ,000 ,000 -1,590(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000
DSR -,548(~x) ,000(~y) ,556(~x) ,000 ,000 ,000(~~) ,000 ,101(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000
DR ,770(~x) ,000(~y) ,072(~x) ,000 ,000 ,000 ,000(~~) ,304(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000
D2R -285,250 -1,035(xy) -133,131 ,590(x~) 1,590(x~) -,101(x~) -,304(x~) 159,736(xx) -,066(x~) ,104(x~) ,013(x~) -,104(x~) -,075(x~) -,075(x~) -,077(x~)
DSRR ,911(~x) ,000(~y) -,025(~x) ,000 ,000 ,000 ,000 ,066(~x) ,000(~~) ,000 ,000 ,000 ,000 ,000 ,000
D1R ,341(~x) ,000(~y) -,762(~x) ,000 ,000 ,000 ,000 -,104(~x) ,000 ,000(~~) ,000 ,000 ,000 ,000 ,000
D10R ,041(~x) ,000(~y) -,972(~x) ,000 ,000 ,000 ,000 -,013(~x) ,000 ,000 ,000(~~) ,000 ,000 ,000 ,000
DDD -,341(~x) ,000(~y) ,762(~x) ,000 ,000 ,000 ,000 ,104(~x) ,000 ,000 ,000 ,000(~~) ,000 ,000 ,000
DL -,846(~x) ,000(~y) ,232(~x) ,000 ,000 ,000 ,000 ,075(~x) ,000 ,000 ,000 ,000 ,000(~~) ,000 ,000
D2L -,846(~x) ,000(~y) ,232(~x) ,000 ,000 ,000 ,000 ,075(~x) ,000 ,000 ,000 ,000 ,000 ,000(~~) ,000
DDDL -,916(~x) ,000(~y) ,163(~x) ,000 ,000 ,000 ,000 ,077(~x) ,000 ,000 ,000 ,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: H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DL2 D2R D
1 1 1,986 1,000 ,01 ,01

2 1,400E-02 11,909 ,99 ,99

2 1 2,930 1,000 ,00 ,00 ,00
2 6,904E-02 6,515 ,03 ,00 ,05
3 8,426E-04 58,970 ,97 1,00 ,95
3 1 3,824 1,000 ,00 ,00 ,00 ,00
2 ,171 4,723 ,00 ,00 ,00 ,00
3 4,174E-03 30,269 ,00 ,00 ,06 ,02
4 2,107E-05 426,021 1,00 1,00 ,94 ,98
a Dependent Variable: H

EQUATION 2

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl D Dsq TO DdDl/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = STEPWISE.
Resources Memory Required 7492 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(a)
Model Variables Entered Variables Removed Method
1 DR , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
2 DCU , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
3 D2R , Stepwise (Criteria: Probability-of-F-to-enter <= ,050, Probability-of-F-to-remove >= ,100).
a Dependent Variable: HL





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 ,974(a) ,950 ,949 4,940E-02 ,950 6555,120 1 348 ,000 -2103,454 ,051 22,484 -2095,738(b)
2 ,975(c) ,951 ,951 4,869E-02 ,002 11,209 1 347 ,001 -2112,581 ,050 12,953 -2101,008(b)
3 ,976(d) ,952 ,952 4,813E-02 ,001 9,098 1 346 ,003 -2119,665 ,049 5,808 -2104,233(b)
a Predictors: (Constant), DR
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, DSR, DR, DSRR, D1R, D10R, DDD, DL, D2L, DL2
c Predictors: (Constant), DR, DCU
d Predictors: (Constant), DR, DCU, D2R

ANOVA(d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 15,998 1 15,998 6555,120 ,000(a)
Residual ,849 348 2,440E-03

Total 16,847 349


2 Regression 16,024 2 8,012 3379,320 ,000(b)
Residual ,823 347 2,371E-03

Total 16,847 349


3 Regression 16,045 3 5,348 2308,485 ,000(c)
Residual ,802 346 2,317E-03

Total 16,847 349


a Predictors: (Constant), DR
b Predictors: (Constant), DR, DCU
c Predictors: (Constant), DR, DCU, D2R
d Dependent Variable: HL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 3,660 ,014

266,296 ,000 3,633 3,687




DR -,105 ,001 -,974 ,012 -80,964 ,000 -,108 -,103 -,974 -,974 -,974 1,000 1,000
2 (Constant) 3,731 ,025

148,685 ,000 3,682 3,781




DR -,110 ,002 -1,023 ,019 -54,693 ,000 -,114 -,106 -,974 -,947 -,649 ,402 2,485
DCU -14,201 4,241 -,063 ,019 -3,348 ,001 -22,543 -5,858 ,728 -,177 -,040 ,402 2,485
3 (Constant) 4,081 ,119

34,429 ,000 3,848 4,314




DR -,167 ,019 -1,549 ,176 -8,826 ,000 -,205 -,130 -,974 -,429 -,104 ,004 224,086
DCU -32,819 7,462 -,145 ,033 -4,398 ,000 -47,496 -18,142 ,728 -,230 -,052 ,127 7,872
D2R 2,343E-03 ,001 ,467 ,155 3,016 ,003 ,001 ,004 -,967 ,160 ,035 ,006 174,569
a Dependent Variable: HL





Excluded Variables(d)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D -,096(a) -2,549 ,011 -,136 9,974E-02 10,026 9,974E-02
DSQ -,074(a) -3,000 ,003 -,159 ,233 4,291 ,233
DCU -,063(a) -3,348 ,001 -,177 ,402 2,485 ,402
DSR -,118(a) -2,300 ,022 -,123 5,402E-02 18,512 5,402E-02
D2R -,096(a) -1,079 ,281 -,058 1,814E-02 55,114 1,814E-02
DSRR ,291(a) 1,789 ,075 ,096 5,432E-03 184,084 5,432E-03
D1R ,102(a) 2,397 ,017 ,128 7,913E-02 12,637 7,913E-02
D10R ,097(a) 2,532 ,012 ,135 9,730E-02 10,277 9,730E-02
DDD -,102(a) -2,397 ,017 -,128 7,913E-02 12,637 7,913E-02
DL -,162(a) -2,044 ,042 -,109 2,291E-02 43,644 2,291E-02
D2L -,162(a) -2,044 ,042 -,109 2,291E-02 43,644 2,291E-02
DL2 ,238(a) 1,620 ,106 ,087 6,699E-03 149,284 6,699E-03
DDDL -,171(a) -1,941 ,053 -,104 1,846E-02 54,181 1,846E-02
2 D ,388(b) 2,657 ,008 ,141 6,484E-03 154,217 6,484E-03
DSQ ,465(b) 2,442 ,015 ,130 3,836E-03 260,715 3,836E-03
DSR ,441(b) 2,749 ,006 ,146 5,368E-03 186,297 5,368E-03
D2R ,467(b) 3,016 ,003 ,160 5,728E-03 174,569 4,463E-03
DSRR -1,083(b) -2,896 ,004 -,154 9,850E-04 1015,194 9,850E-04
D1R -,384(b) -2,697 ,007 -,143 6,821E-03 146,596 6,821E-03
D10R -,387(b) -2,661 ,008 -,142 6,546E-03 152,769 6,546E-03
DDD ,384(b) 2,697 ,007 ,143 6,821E-03 146,596 6,821E-03
DL ,589(b) 2,829 ,005 ,150 3,177E-03 314,772 3,177E-03
D2L ,589(b) 2,829 ,005 ,150 3,177E-03 314,772 3,177E-03
DL2 -,909(b) -2,921 ,004 -,155 1,422E-03 703,147 1,422E-03
DDDL ,624(b) 2,852 ,005 ,152 2,876E-03 347,714 2,876E-03
3 D -,696(c) -1,128 ,260 -,061 3,609E-04 2770,619 1,159E-04
DSQ -,786(c) -1,307 ,192 -,070 3,789E-04 2639,425 2,616E-04
DSR -,843(c) -1,033 ,302 -,056 2,064E-04 4845,010 6,469E-05
DSRR 2,682(c) ,835 ,404 ,045 1,334E-05 74968,412 6,993E-06
D1R ,695(c) 1,079 ,281 ,058 3,318E-04 3013,541 9,682E-05
D10R ,694(c) 1,124 ,262 ,060 3,599E-04 2778,212 1,140E-04
DDD -,695(c) -1,079 ,281 -,058 3,318E-04 3013,541 9,682E-05
DL -1,246(c) -,935 ,350 -,050 7,747E-05 12908,542 2,841E-05
D2L -1,246(c) -,935 ,350 -,050 7,747E-05 12908,542 2,841E-05
DL2 2,209(c) ,738 ,461 ,040 1,538E-05 65030,423 7,139E-06
DDDL -1,350(c) -,892 ,373 -,048 6,004E-05 16656,736 2,252E-05
a Predictors in the Model: (Constant), DR
b Predictors in the Model: (Constant), DR, DCU
c Predictors in the Model: (Constant), DR, DCU, D2R
d Dependent Variable: HL

Coefficient Correlations(a)
Model DR DCU D2R
1 Correlations DR 1,000

Covariances DR 1,689E-06

2 Correlations DR 1,000 ,773
DCU ,773 1,000
Covariances DR 4,077E-06 6,621E-03
DCU 6,621E-03 17,990
3 Correlations DR 1,000 ,868 -,994
DCU ,868 1,000 -,827
D2R -,994 -,827 1,000
Covariances DR 3,593E-04 ,123 -1,464E-05
DCU ,123 55,683 -4,795E-03
D2R -1,464E-05 -4,795E-03 6,035E-07
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows DR HL D DSQ DCU DSR D2R DSRR D1R D10R DDD DL D2L DL2 DDDL
1 DR 1,000(xx) ,974(xy) ,949(x~) ,876(x~) ,773(x~) ,973(x~) -,991(x~) -,997(x~) -,960(x~) -,950(x~) ,960(x~) ,988(x~) ,988(x~) -,997(x~) ,991(x~)
HL -,974(yx) ,050(yy) -,010(y~) -,017(y~) -,025(y~) -,006(y~) -,002(y~) ,002(y~) ,008(y~) ,009(y~) -,008(y~) -,004(y~) -,004(y~) ,002(y~) -,003(y~)
D -,949(~x) -,010(~y) ,100(~~) ,151 ,194 ,073 ,040 -,023 -,089 -,099 ,089 ,047 ,047 -,025 ,042
DSQ -,876(~x) -,017(~y) ,151 ,233(~~) ,304 ,110 ,058 -,034 -,134 -,149 ,134 ,071 ,071 -,037 ,063
DCU -,773(~x) -,025(~y) ,194 ,304 ,402(~~) ,140 ,071 -,042 -,171 -,191 ,171 ,089 ,089 -,046 ,079
DSR -,973(~x) -,006(~y) ,073 ,110 ,140 ,054(~~) ,030 -,017 -,065 -,072 ,065 ,035 ,035 -,019 ,031
D2R ,991(~x) -,002(~y) ,040 ,058 ,071 ,030 ,018(~~) -,010 -,036 -,040 ,036 ,020 ,020 -,011 ,018
DSRR ,997(~x) ,002(~y) -,023 -,034 -,042 -,017 -,010 ,005(~~) ,021 ,023 -,021 -,011 -,011 ,006 -,010
D1R ,960(~x) ,008(~y) -,089 -,134 -,171 -,065 -,036 ,021 ,079(~~) ,088 -,079 -,042 -,042 ,023 -,038
D10R ,950(~x) ,009(~y) -,099 -,149 -,191 -,072 -,040 ,023 ,088 ,097(~~) -,088 -,047 -,047 ,025 -,042
DDD -,960(~x) -,008(~y) ,089 ,134 ,171 ,065 ,036 -,021 -,079 -,088 ,079(~~) ,042 ,042 -,023 ,038
DL -,988(~x) -,004(~y) ,047 ,071 ,089 ,035 ,020 -,011 -,042 -,047 ,042 ,023(~~) ,023 -,012 ,021
D2L -,988(~x) -,004(~y) ,047 ,071 ,089 ,035 ,020 -,011 -,042 -,047 ,042 ,023 ,023(~~) -,012 ,021
DL2 ,997(~x) ,002(~y) -,025 -,037 -,046 -,019 -,011 ,006 ,023 ,025 -,023 -,012 -,012 ,007(~~) -,011
DDDL -,991(~x) -,003(~y) ,042 ,063 ,079 ,031 ,018 -,010 -,038 -,042 ,038 ,021 ,021 -,011 ,018(~~)
2 DR 2,485(xx) 1,023(xy) ,577(x~) ,292(x~) 1,921 ,704(x~) -1,127(x~) -,916(x~) -,632(x~) -,583(x~) ,632(x~) ,817(x~) ,817(x~) -,908(x~) ,839(x~)
HL -1,023(yx) ,049(yy) ,003(y~) ,002(y~) -,063(yx) ,002(y~) ,003(y~) -,001(y~) -,003(y~) -,003(y~) ,003(y~) ,002(y~) ,002(y~) -,001(y~) ,002(y~)
D -,577(~x) ,003(~y) ,006(~~) ,005 ,481(~x) ,006 ,006 -,003 -,007 -,007 ,007 ,005 ,005 -,003 ,004
DSQ -,292(~x) ,002(~y) ,005 ,004(~~) ,755(~x) ,005 ,004 -,002 -,005 -,005 ,005 ,003 ,003 -,002 ,003
DCU 1,921 ,063(xy) -,481(x~) -,755(x~) 2,485(xx) -,348(x~) -,176(x~) ,105(x~) ,424(x~) ,475(x~) -,424(x~) -,221(x~) -,221(x~) ,115(x~) -,197(x~)
DSR -,704(~x) ,002(~y) ,006 ,005 ,348(~x) ,005(~~) ,005 -,002 -,006 -,006 ,006 ,004 ,004 -,003 ,004
D2R 1,127(~x) ,003(~y) ,006 ,004 ,176(~x) ,005 ,006(~~) -,002 -,006 -,006 ,006 ,004 ,004 -,003 ,004
DSRR ,916(~x) -,001(~y) -,003 -,002 -,105(~x) -,002 -,002 ,001(~~) ,003 ,003 -,003 -,002 -,002 ,001 -,002
D1R ,632(~x) -,003(~y) -,007 -,005 -,424(~x) -,006 -,006 ,003 ,007(~~) ,007 -,007 -,005 -,005 ,003 -,004
D10R ,583(~x) -,003(~y) -,007 -,005 -,475(~x) -,006 -,006 ,003 ,007 ,007(~~) -,007 -,005 -,005 ,003 -,004
DDD -,632(~x) ,003(~y) ,007 ,005 ,424(~x) ,006 ,006 -,003 -,007 -,007 ,007(~~) ,005 ,005 -,003 ,004
DL -,817(~x) ,002(~y) ,005 ,003 ,221(~x) ,004 ,004 -,002 -,005 -,005 ,005 ,003(~~) ,003 -,002 ,003
D2L -,817(~x) ,002(~y) ,005 ,003 ,221(~x) ,004 ,004 -,002 -,005 -,005 ,005 ,003 ,003(~~) -,002 ,003
DL2 ,908(~x) -,001(~y) -,003 -,002 -,115(~x) -,003 -,003 ,001 ,003 ,003 -,003 -,002 -,002 ,001(~~) -,002
DDDL -,839(~x) ,002(~y) ,004 ,003 ,197(~x) ,004 ,004 -,002 -,004 -,004 ,004 ,003 ,003 -,002 ,003(~~)
3 DR 224,086(xx) 1,549(xy) 1,742(x~) 1,168(x~) 36,471 1,773(x~) -196,684 -1,380(x~) -1,831(x~) -1,754(x~) 1,831(x~) 1,646(x~) 1,646(x~) -1,466(x~) 1,629(x~)
HL -1,549(yx) ,048(yy) ,000(y~) ,000(y~) -,145(yx) ,000(y~) ,467(yx) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~) ,000(y~)
D -1,742(~x) ,000(~y) ,000(~~) ,000 ,300(~x) ,000 1,034(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000 ,000
DSQ -1,168(~x) ,000(~y) ,000 ,000(~~) ,618(~x) ,000 ,777(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000 ,000
DCU 36,471 ,145(xy) -,300(x~) -,618(x~) 7,872(xx) -,181(x~) -30,665 ,033(x~) ,237(x~) ,292(x~) -,237(x~) -,092(x~) -,092(x~) ,027(x~) -,074(x~)
DSR -1,773(~x) ,000(~y) ,000 ,000 ,181(~x) ,000(~~) ,949(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000 ,000
D2R -196,684 -,467(xy) -1,034(x~) -,777(x~) -30,665 -,949(x~) 174,569(xx) ,412(x~) 1,064(x~) 1,039(x~) -1,064(x~) -,736(x~) -,736(x~) ,496(x~) -,701(x~)
DSRR 1,380(~x) ,000(~y) ,000 ,000 -,033(~x) ,000 -,412(~x) ,000(~~) ,000 ,000 ,000 ,000 ,000 ,000 ,000
D1R 1,831(~x) ,000(~y) ,000 ,000 -,237(~x) ,000 -1,064(~x) ,000 ,000(~~) ,000 ,000 ,000 ,000 ,000 ,000
D10R 1,754(~x) ,000(~y) ,000 ,000 -,292(~x) ,000 -1,039(~x) ,000 ,000 ,000(~~) ,000 ,000 ,000 ,000 ,000
DDD -1,831(~x) ,000(~y) ,000 ,000 ,237(~x) ,000 1,064(~x) ,000 ,000 ,000 ,000(~~) ,000 ,000 ,000 ,000
DL -1,646(~x) ,000(~y) ,000 ,000 ,092(~x) ,000 ,736(~x) ,000 ,000 ,000 ,000 ,000(~~) ,000 ,000 ,000
D2L -1,646(~x) ,000(~y) ,000 ,000 ,092(~x) ,000 ,736(~x) ,000 ,000 ,000 ,000 ,000 ,000(~~) ,000 ,000
DL2 1,466(~x) ,000(~y) ,000 ,000 -,027(~x) ,000 -,496(~x) ,000 ,000 ,000 ,000 ,000 ,000 ,000(~~) ,000
DDDL -1,629(~x) ,000(~y) ,000 ,000 ,074(~x) ,000 ,701(~x) ,000 ,000 ,000 ,000 ,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: HL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DR DCU D2R
1 1 1,981 1,000 ,01 ,01

2 1,863E-02 10,314 ,99 ,99

2 1 2,613 1,000 ,00 ,00 ,02
2 ,381 2,619 ,00 ,01 ,30
3 6,122E-03 20,660 1,00 ,99 ,68
3 1 3,462 1,000 ,00 ,00 ,00 ,00
2 ,513 2,599 ,00 ,00 ,08 ,00
3 2,475E-02 11,828 ,01 ,00 ,16 ,01
4 1,054E-04 181,240 ,99 1,00 ,76 ,99
a Dependent Variable: HL

EQUATION 3

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dsq Dcu/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D Dsq Dcu.
Resources Memory Required 1948 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,971(a) ,942 ,942 ,69 ,942 1887,696 3 346 ,000 -253,191 ,059 4,000 -237,759
a Predictors: (Constant), DCU, D, DSQ

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2716,121 3 905,374 1887,696 ,000(a)
Residual 165,948 346 ,480

Total 2882,069 349


a Predictors: (Constant), DCU, D, DSQ
b Dependent Variable: H



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) -7,621 1,666

-4,575 ,000 -10,898 -4,345




D 272,889 42,949 2,032 ,320 6,354 ,000 188,415 357,363 ,941 ,323 ,082 ,002 614,721
DSQ -561,121 352,660 -,975 ,613 -1,591 ,112 -1254,748 132,506 ,880 -,085 -,021 ,000 2256,353
DCU -426,418 913,770 -,144 ,308 -,467 ,641 -2223,662 1370,825 ,784 -,025 -,006 ,002 570,212
a Dependent Variable: H

Coefficient Correlations(a)
Model DCU D DSQ
1 Correlations DCU 1,000 ,977 -,994
D ,977 1,000 -,994
DSQ -,994 -,994 1,000
Covariances DCU 834975,999 38334,459 -320229,430
D 38334,459 1844,611 -15058,288
DSQ -320229,430 -15058,288 124368,964
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DCU D DSQ H
1 DCU 570,212(xx) 578,305 -1127,172 ,144(xy)
D 578,305 614,721(xx) -1170,873 -2,032(xy)
DSQ -1127,172 -1170,873 2256,353(xx) ,975(xy)
H -,144(yx) 2,032(yx) -,975(yx) ,058(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: H



Collinearity Diagnostics(a)

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

EQUATION 4

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1 D Dsq Dcu/ ORIGIN/ STATISTICS = all/ DEPENDENT = H1/
METHOD = ENTER D Dsq Dcu.
Resources Memory Required 1948 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 DCU, D, DSQ(a) , Enter
a All requested variables entered.
b Dependent Variable: H1
c Linear Regression through the Origin





Model Summary

R R Square(a) Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,998(b) ,997 ,997 ,7196 ,997 34473,565 3 347 ,000 -227,318 ,003 3,000 -215,744
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: DCU, D, DSQ

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 53559,396 3 17853,132 34473,565 ,000(a)
Residual 179,704 347 ,518

Total 53739,100(b) 350


a Predictors: DCU, D, DSQ
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: H1
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D 44,315 4,984 ,367 ,041 8,892 ,000 34,513 54,117 ,997 ,431 ,028 ,006 176,540
DSQ 1283,228 78,917 1,205 ,074 16,261 ,000 1128,012 1438,443 ,966 ,658 ,050 ,002 570,216
DCU -5072,941 297,942 -,618 ,036 -17,027 ,000 -5658,942 -4486,941 ,863 -,675 -,053 ,007 136,810
a Dependent Variable: H1
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model DCU D DSQ
1 Correlations DCU 1,000 ,948 -,984
D ,948 1,000 -,988
DSQ -,984 -,988 1,000
Covariances DCU 88769,716 1408,200 -23143,712
D 1408,200 24,837 -388,521
DSQ -23143,712 -388,521 6227,861
a Dependent Variable: H1
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows DCU D DSQ H1
1 DCU 136,810(xx) 147,388 -274,922 ,618(xy)
D 147,388 176,540(xx) -313,428 -,367(xy)
DSQ -274,922 -313,428 570,216(xx) -1,205(xy)
H1 -,618(yx) ,367(yx) 1,205(yx) ,003(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: H1
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D DSQ DCU
1 1 2,873 1,000 ,00 ,00 ,00
2 ,125 4,787 ,02 ,00 ,03
3 1,143E-03 50,150 ,98 1,00 ,97
a Dependent Variable: H1
b Linear Regression through the Origin

EQUATION 5

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dsq/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D Dsq.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,03

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

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





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 ,971(a) ,942 ,942 ,69 ,942 2837,832 2 347 ,000 -254,970 ,059 3,000 -243,397
a Predictors: (Constant), DSQ, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2716,016 2 1358,008 2837,832 ,000(a)
Residual 166,052 347 ,479

Total 2882,069 349


a Predictors: (Constant), DSQ, D
b Dependent Variable: H



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) -8,359 ,522

-16,011 ,000 -9,386 -7,333




D 292,466 9,190 2,178 ,068 31,825 ,000 274,392 310,541 ,941 ,863 ,410 ,035 28,208
DSQ -724,661 39,386 -1,259 ,068 -18,399 ,000 -802,127 -647,195 ,880 -,703 -,237 ,035 28,208
a Dependent Variable: H

Coefficient Correlations(a)
Model DSQ D
1 Correlations DSQ 1,000 -,982
D -,982 1,000
Covariances DSQ 1551,285 -355,480
D -355,480 84,453
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DSQ D H
1 DSQ 28,208(xx) -27,703 1,259(xy)
D -27,703 28,208(xx) -2,178(xy)
H -1,259(yx) 2,178(yx) ,058(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: H



Collinearity Diagnostics(a)

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

EQUATION 6

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1 D Dsq/ ORIGIN/ STATISTICS = all/ DEPENDENT = H1/
METHOD = ENTER D Dsq.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 DSQ, D(a) , Enter
a All requested variables entered.
b Dependent Variable: H1
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 ,997(b) ,994 ,994 ,9736 ,994 28174,962 2 348 ,000 -16,765 ,006 2,000 -9,049
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: DSQ, D

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 53409,261 2 26704,630 28174,962 ,000(a)
Residual 329,839 348 ,948

Total 53739,100(b) 350


a Predictors: DSQ, D
b This total sum of squares is not corrected for the constant because the constant is zero for regression through the origin.
c Dependent Variable: H1
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D 124,790 2,138 1,033 ,018 58,364 ,000 120,585 128,995 ,997 ,953 ,245 ,056 17,755
DSQ -39,371 18,839 -,037 ,018 -2,090 ,037 -76,423 -2,318 ,966 -,111 -,009 ,056 17,755
a Dependent Variable: H1
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model DSQ D
1 Correlations DSQ 1,000 -,971
D -,971 1,000
Covariances DSQ 354,906 -39,129
D -39,129 4,572
a Dependent Variable: H1
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows DSQ D H1
1 DSQ 17,755(xx) -17,248 ,037(xy)
D -17,248 17,755(xx) -1,033(xy)
H1 -,037(yx) 1,033(yx) ,006(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: H1
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D DSQ
1 1 1,971 1,000 ,01 ,01
2 2,857E-02 8,307 ,99 ,99
a Dependent Variable: H1
b Linear Regression through the Origin

EQUATION 7

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H Dsq/ ORIGIN/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER Dsq.
Resources Memory Required 1508 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 DSQ(a) , Enter
a All requested variables entered.
b Dependent Variable: H
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 ,963(b) ,927 ,926 3,70 ,927 4408,168 1 349 ,000 917,767 ,074 1,000 921,625
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: DSQ

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 60509,398 1 60509,398 4408,168 ,000(a)
Residual 4790,602 349 13,727

Total 65300,000(b) 350


a Predictors: DSQ
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: H
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 DSQ 1129,658 17,014 ,963 ,014 66,394 ,000 1096,194 1163,122 ,963 ,963 ,963 1,000 1,000
a Dependent Variable: H
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model DSQ
1 Correlations DSQ 1,000
Covariances DSQ 289,492
a Dependent Variable: H
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows DSQ H
1 DSQ 1,000(xx) -,963(xy)
H ,963(yx) ,073(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: H
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

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

EQUATION 8

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dr/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D Dr.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,03

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

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





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 ,966(a) ,934 ,933 ,74 ,934 2437,049 2 347 ,000 -204,983 ,068 3,000 -193,409
a Predictors: (Constant), DR, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2690,523 2 1345,262 2437,049 ,000(a)
Residual 191,545 347 ,552

Total 2882,069 349


a Predictors: (Constant), DR, D
b Dependent Variable: H



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) 19,583 1,217

16,086 ,000 17,189 21,978




D 38,611 5,884 ,288 ,044 6,562 ,000 27,038 50,185 ,941 ,332 ,091 ,100 10,026
DR -,973 ,062 -,689 ,044 -15,725 ,000 -1,095 -,851 -,962 -,645 -,218 ,100 10,026
a Dependent Variable: H

Coefficient Correlations(a)
Model DR D
1 Correlations DR 1,000 ,949
D ,949 1,000
Covariances DR 3,830E-03 ,346
D ,346 34,627
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DR D H
1 DR 10,026(xx) 9,513 ,689(xy)
D 9,513 10,026(xx) -,288(xy)
H -,689(yx) ,288(yx) ,066(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: H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D DR
1 1 2,921 1,000 ,00 ,00 ,00
2 7,819E-02 6,112 ,00 ,03 ,02
3 6,997E-04 64,614 1,00 ,97 ,98
a Dependent Variable: H

EQUATION 9

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1 D1r D/ ORIGIN/ STATISTICS = all/ DEPENDENT = H1/
METHOD = ENTER D D1r.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 D, D1R(a) , Enter
a All requested variables entered.
b Dependent Variable: H1
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 ,997(b) ,994 ,994 ,9706 ,994 28347,356 2 348 ,000 -18,887 ,006 2,000 -11,171
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: D, D1R

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 53411,254 2 26705,627 28347,356 ,000(a)
Residual 327,846 348 ,942

Total 53739,100(b) 350


a Predictors: D, D1R
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: H1
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 D1R -,642 ,251 -,047 ,018 -2,552 ,011 -1,136 -,147 ,968 -,136 -,011 ,051 19,427
D 125,990 2,230 1,043 ,018 56,503 ,000 121,605 130,376 ,997 ,950 ,237 ,051 19,427
a Dependent Variable: H1
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model D D1R
1 Correlations D 1,000 -,974
D1R -,974 1,000
Covariances D 4,972 -,546
D1R -,546 6,324E-02
a Dependent Variable: H1
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows D D1R H1
1 D 19,427(xx) -18,921 -1,043(xy)
D1R -18,921 19,427(xx) ,047(xy)
H1 1,043(yx) -,047(yx) ,006(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: H1
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D1R D
1 1 1,974 1,000 ,01 ,01
2 2,608E-02 8,700 ,99 ,99
a Dependent Variable: H1
b Linear Regression through the Origin

EQUATION 10

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H Dr D2r/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER Dr D2r.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,969(a) ,939 ,939 ,71 ,939 2692,113 2 347 ,000 -237,610 ,062 3,000 -226,037
a Predictors: (Constant), D2R, DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2707,572 2 1353,786 2692,113 ,000(a)
Residual 174,496 347 ,503

Total 2882,069 349


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



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) 33,807 ,732

46,180 ,000 32,367 35,247




DR -2,595 ,138 -1,837 ,098 -18,736 ,000 -2,867 -2,322 -,962 -,709 -,247 ,018 55,114
D2R 5,793E-02 ,006 ,883 ,098 9,009 ,000 ,045 ,071 -,937 ,435 ,119 ,018 55,114
a Dependent Variable: H

Coefficient Correlations(a)
Model D2R DR
1 Correlations D2R 1,000 -,991
DR -,991 1,000
Covariances D2R 4,135E-05 -8,824E-04
DR -8,824E-04 1,918E-02
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows D2R DR H
1 D2R 55,114(xx) -54,612 -,883(xy)
DR -54,612 55,114(xx) 1,837(xy)
H ,883(yx) -1,837(yx) ,061(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: H



Collinearity Diagnostics(a)

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

EQUATION 11

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H Dr/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER Dr.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,962(a) ,925 ,925 ,79 ,925 4310,174 1 348 ,000 -166,046 ,076 2,000 -158,330
a Predictors: (Constant), DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2666,757 1 2666,757 4310,174 ,000(a)
Residual 215,312 348 ,619

Total 2882,069 349


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



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) 27,456 ,219

125,445 ,000 27,025 27,886




DR -1,358 ,021 -,962 ,015 -65,652 ,000 -1,399 -1,318 -,962 -,962 -,962 1,000 1,000
a Dependent Variable: H

Coefficient Correlations(a)
Model DR
1 Correlations DR 1,000
Covariances DR 4,281E-04
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DR H
1 DR 1,000(xx) ,962(xy)
H -,962(yx) ,075(yy)
xx This variable is an independent variable.
xy Row variable is an independent variable, column variable is the dependent variable.
yx Row variable is the independent variable, column variable is an independent variable.
yy This variable is the dependent variable.
a Dependent Variable: H



Collinearity Diagnostics(a)

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

EQUATION 12

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D2r/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D2r.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,937(a) ,878 ,878 1,00 ,878 2509,213 1 348 ,000 5,026 ,123 2,000 12,742
a Predictors: (Constant), D2R

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2531,041 1 2531,041 2509,213 ,000(a)
Residual 351,027 348 1,009

Total 2882,069 349


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



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) 20,230 ,147

137,259 ,000 19,940 20,520




D2R -6,145E-02 ,001 -,937 ,019 -50,092 ,000 -,064 -,059 -,937 -,937 -,937 1,000 1,000
a Dependent Variable: H

Coefficient Correlations(a)
Model D2R
1 Correlations D2R 1,000
Covariances D2R 1,505E-06
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows D2R H
1 D2R 1,000(xx) ,937(xy)
H -,937(yx) ,122(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: H



Collinearity Diagnostics(a)

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

EQUATION 13

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1 D DdD/ ORIGIN/ STATISTICS = all/ DEPENDENT = H1/
METHOD = ENTER D DdD.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 DDD, D(a) , Enter
a All requested variables entered.
b Dependent Variable: H1
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 ,997(b) ,994 ,994 ,9762 ,994 28020,706 2 348 ,000 -14,855 ,006 2,000 -7,139
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: DDD, D

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 53407,456 2 26703,728 28020,706 ,000(a)
Residual 331,644 348 ,953

Total 53739,100(b) 350


a Predictors: DDD, D
b This total sum of squares is not corrected for the constant because the constant is zero for regression through the origin.
c Dependent Variable: H1
d Linear Regression through the Origin



Coefficients(a,b)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 D 86,516 21,685 ,716 ,179 3,990 ,000 43,866 129,165 ,997 ,209 ,017 ,001 1816,306
DDD 37,654 24,055 ,281 ,179 1,565 ,118 -9,658 84,966 ,997 ,084 ,007 ,001 1816,306
a Dependent Variable: H1
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model DDD D
1 Correlations DDD 1,000 -1,000
D -1,000 1,000
Covariances DDD 578,653 -521,487
D -521,487 470,228
a Dependent Variable: H1
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows DDD D H1
1 DDD 1816,306(xx) -1815,806 -,281(xy)
D -1815,806 1816,306(xx) -,716(xy)
H1 ,281(yx) ,716(yx) ,006(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: H1
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension D DDD
1 1 2,000 1,000 ,00 ,00
2 2,753E-04 85,225 1,00 1,00
a Dependent Variable: H1
b Linear Regression through the Origin

EQUATION 14

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D10r/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D10r.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D10R(a) , Enter
a All requested variables entered.
b Dependent Variable: H





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 ,942(a) ,888 ,888 ,96 ,888 2761,719 1 348 ,000 -24,614 ,113 2,000 -16,898
a Predictors: (Constant), D10R

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2559,544 1 2559,544 2761,719 ,000(a)
Residual 322,524 348 ,927

Total 2882,069 349


a Predictors: (Constant), D10R
b Dependent Variable: H



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) 1295,079 24,390

53,099 ,000 1247,109 1343,049




D10R -12945,750 246,341 -,942 ,018 -52,552 ,000 -13430,255 -12461,245 -,942 -,942 -,942 1,000 1,000
a Dependent Variable: H

Coefficient Correlations(a)
Model D10R
1 Correlations D10R 1,000
Covariances D10R 60684,096
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows D10R H
1 D10R 1,000(xx) ,942(xy)
H -,942(yx) ,112(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: H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D10R
1 1 2,000 1,000 ,00 ,00
2 2,226E-06 947,934 1,00 1,00
a Dependent Variable: H

EQUATION 15

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dl/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER D Dl.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,968(a) ,938 ,937 ,72 ,938 2618,278 2 347 ,000 -228,474 ,063 3,000 -216,900
a Predictors: (Constant), DL, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2702,957 2 1351,479 2618,278 ,000(a)
Residual 179,111 347 ,516

Total 2882,069 349


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



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) 62,510 3,645

17,150 ,000 55,341 69,679




D -49,722 10,524 -,370 ,078 -4,725 ,000 -70,420 -29,024 ,941 -,246 -,063 ,029 34,293
DL 19,036 1,121 1,331 ,078 16,986 ,000 16,831 21,240 ,966 ,674 ,227 ,029 34,293
a Dependent Variable: H

Coefficient Correlations(a)
Model DL D
1 Correlations DL 1,000 -,985
D -,985 1,000
Covariances DL 1,256 -11,620
D -11,620 110,745
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DL D H
1 DL 34,293(xx) -33,789 -1,331(xy)
D -33,789 34,293(xx) ,370(xy)
H 1,331(yx) -,370(yx) ,062(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: H



Collinearity Diagnostics(a)

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

EQUATION 16

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H Dl/ STATISTICS = all/ DEPENDENT = H/
METHOD = ENTER Dl.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,966(a) ,934 ,934 ,74 ,934 4913,174 1 348 ,000 -208,652 ,067 2,000 -200,936
a Predictors: (Constant), DL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2691,434 1 2691,434 4913,174 ,000(a)
Residual 190,634 348 ,548

Total 2882,069 349


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



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) 45,417 ,459

98,919 ,000 44,514 46,320




DL 13,819 ,197 ,966 ,014 70,094 ,000 13,431 14,206 ,966 ,966 ,966 1,000 1,000
a Dependent Variable: H

Coefficient Correlations(a)
Model DL
1 Correlations DL 1,000
Covariances DL 3,887E-02
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows DL H
1 DL 1,000(xx) -,966(xy)
H ,966(yx) ,066(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: H



Collinearity Diagnostics(a)

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

EQUATION 17

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = DdH D Dsq/ STATISTICS = all/ DEPENDENT = DdH/
METHOD = ENTER D Dsq.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,651(a) ,424 ,421 3,723E-04 ,424 127,807 2 347 ,000 -5524,148 ,586 3,000 -5512,575
a Predictors: (Constant), DSQ, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 3,542E-05 2 1,771E-05 127,807 ,000(a)
Residual 4,809E-05 347 1,386E-07

Total 8,351E-05 349


a Predictors: (Constant), DSQ, D
b Dependent Variable: DDH



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) 1,182E-02 ,000

42,073 ,000 ,011 ,012




D -7,812E-02 ,005 -3,418 ,216 -15,797 ,000 -,088 -,068 -,023 -,647 -,644 ,035 28,208
DSQ ,339 ,021 3,457 ,216 15,978 ,000 ,297 ,380 ,100 ,651 ,651 ,035 28,208
a Dependent Variable: DDH

Coefficient Correlations(a)
Model DSQ D
1 Correlations DSQ 1,000 -,982
D -,982 1,000
Covariances DSQ 4,492E-04 -1,029E-04
D -1,029E-04 2,446E-05
a Dependent Variable: DDH

Swept Correlation Matrix(a)

Columns
Model Rows DSQ D DDH
1 DSQ 28,208(xx) -27,703 -3,457(xy)
D -27,703 28,208(xx) 3,418(xy)
DDH 3,457(yx) -3,418(yx) ,576(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: DDH



Collinearity Diagnostics(a)

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

EQUATION 18

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H D Dsq Dsr Dsrr Dr D2r/ STATISTICS = all/
DEPENDENT = H/ METHOD = ENTER D Dsq Dsr Dsrr Dr D2r.
Resources Memory Required 2844 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 D2R, DSQ, DSR(a) , Enter
a Tolerance = ,000 limits reached.
b Dependent Variable: H





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 ,971(a) ,943 ,943 ,69 ,943 1909,646 3 346 ,000 -257,005 ,058 4,000 -241,574(b)
a Predictors: (Constant), D2R, DSQ, DSR
b Multicollinearity is present. The following variables were not included in the full model used for calculation of the Mallows' Prediction Criterion: D, DSRR, DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2717,919 3 905,973 1909,646 ,000(a)
Residual 164,149 346 ,474

Total 2882,069 349


a Predictors: (Constant), D2R, DSQ, DSR
b Dependent Variable: H



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) -40,861 4,885

-8,365 ,000 -50,468 -31,253




DSQ -507,208 62,116 -,881 ,108 -8,166 ,000 -629,381 -385,036 ,880 -,402 -,105 ,014 70,768
DSR 182,624 15,659 2,062 ,177 11,663 ,000 151,826 213,422 ,958 ,531 ,150 ,005 189,937
D2R 1,801E-02 ,005 ,275 ,082 3,330 ,001 ,007 ,029 -,937 ,176 ,043 ,024 41,299
a Dependent Variable: H





Excluded Variables(b)

Beta In t Sig. Partial Correlation Collinearity Statistics
Model Tolerance VIF Minimum Tolerance
1 D -7,817(a) -1,500 ,134 -,081 6,042E-06 165499,857 6,042E-06
DSRR -2,852(a) -1,199 ,232 -,064 2,904E-05 34435,603 2,904E-05
DR -2,313(a) -1,097 ,273 -,059 3,699E-05 27031,896 3,699E-05
a Predictors in the Model: (Constant), D2R, DSQ, DSR
b Dependent Variable: H

Coefficient Correlations(a)
Model D2R DSQ DSR
1 Correlations D2R 1,000 -,901 ,964
DSQ -,901 1,000 -,979
DSR ,964 -,979 1,000
Covariances D2R 2,923E-05 -,302 8,163E-02
DSQ -,302 3858,387 -952,458
DSR 8,163E-02 -952,458 245,193
a Dependent Variable: H

Swept Correlation Matrix(a)

Columns
Model Rows D2R DSQ DSR H D DSRR DR
1 D2R 41,299(xx) -48,686 85,392 -,275(xy) -,065(x~) -,296(x~) -,506(x~)
DSQ -48,686 70,768(xx) -113,530 ,881(xy) -,244(x~) -,215(x~) -,203(x~)
DSR 85,392 -113,530 189,937(xx) -2,062(xy) -,822(x~) ,918(x~) ,695(x~)
H ,275(yx) -,881(yx) 2,062(yx) ,057(yy) ,000(y~) ,000(y~) ,000(y~)
D ,065(~x) ,244(~x) ,822(~x) ,000(~y) ,000(~~) ,000 ,000
DSRR ,296(~x) ,215(~x) -,918(~x) ,000(~y) ,000 ,000(~~) ,000
DR ,506(~x) ,203(~x) -,695(~x) ,000(~y) ,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: H



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DSQ DSR D2R
1 1 3,694 1,000 ,00 ,00 ,00 ,00
2 ,290 3,567 ,00 ,00 ,00 ,01
3 1,566E-02 15,361 ,00 ,05 ,00 ,05
4 2,749E-05 366,574 1,00 ,95 1,00 ,94
a Dependent Variable: H

EQUATION 19

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = D2Hsr Dsq/ STATISTICS = all/ DEPENDENT = D2Hsr/
METHOD = ENTER Dsq.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DSQ(a) , Enter
a All requested variables entered.
b Dependent Variable: D2HSR





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 ,961(a) ,923 ,923 7,947E-04 ,923 4172,900 1 348 ,000 -4994,257 ,078 2,000 -4986,541
a Predictors: (Constant), DSQ

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2,636E-03 1 2,636E-03 4172,900 ,000(a)
Residual 2,198E-04 348 6,316E-07

Total 2,855E-03 349


a Predictors: (Constant), DSQ
b Dependent Variable: D2HSR



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 2,305E-02 ,000

232,441 ,000 ,023 ,023




DSQ ,550 ,009 ,961 ,015 64,598 ,000 ,534 ,567 ,961 ,961 ,961 1,000 1,000
a Dependent Variable: D2HSR

Coefficient Correlations(a)
Model DSQ
1 Correlations DSQ 1,000
Covariances DSQ 7,259E-05
a Dependent Variable: D2HSR

Swept Correlation Matrix(a)

Columns
Model Rows DSQ D2HSR
1 DSQ 1,000(xx) -,961(xy)
D2HSR ,961(yx) ,077(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: D2HSR



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DSQ
1 1 1,904 1,000 ,05 ,05
2 9,640E-02 4,444 ,95 ,95
a Dependent Variable: D2HSR

EQUATION 20

Regression

Notes
Output Created 19-OCT-2004 09:34:45
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = D2Hs D Dsq/ STATISTICS = all/ DEPENDENT = D2Hs/
METHOD = ENTER D Dsq.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,08

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DSQ, D(a) , Enter
a All requested variables entered.
b Dependent Variable: D2HS





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 ,966(a) ,933 ,933 4,846E-05 ,933 2415,782 2 347 ,000 -6951,303 ,068 3,000 -6939,729
a Predictors: (Constant), DSQ, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 1,135E-05 2 5,674E-06 2415,782 ,000(a)
Residual 8,150E-07 347 2,349E-09

Total 1,216E-05 349


a Predictors: (Constant), DSQ, D
b Dependent Variable: D2HS



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 7,516E-04 ,000

20,548 ,000 ,001 ,001




D -5,159E-03 ,001 -,591 ,074 -8,013 ,000 -,006 -,004 ,921 -,395 -,111 ,035 28,208
DSQ 5,759E-02 ,003 1,540 ,074 20,870 ,000 ,052 ,063 ,959 ,746 ,290 ,035 28,208
a Dependent Variable: D2HS

Coefficient Correlations(a)
Model DSQ D
1 Correlations DSQ 1,000 -,982
D -,982 1,000
Covariances DSQ 7,614E-06 -1,745E-06
D -1,745E-06 4,145E-07
a Dependent Variable: D2HS

Swept Correlation Matrix(a)

Columns
Model Rows DSQ D D2HS
1 DSQ 28,208(xx) -27,703 -1,540(xy)
D -27,703 28,208(xx) ,591(xy)
D2HS 1,540(yx) -,591(yx) ,067(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: D2HS



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D DSQ
1 1 2,902 1,000 ,00 ,00 ,00
2 9,655E-02 5,483 ,02 ,00 ,04
3 1,008E-03 53,659 ,97 1,00 ,96
a Dependent Variable: D2HS

EQUATION 21

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl Dl/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER Dl.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

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

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





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 ,960(a) ,921 ,920 6,196E-02 ,921 4040,540 1 348 ,000 -1944,912 ,080 2,000 -1937,196
a Predictors: (Constant), DL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 15,511 1 15,511 4040,540 ,000(a)
Residual 1,336 348 3,839E-03

Total 16,847 349


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



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) 5,002 ,038

130,149 ,000 4,927 5,078




DL 1,049 ,017 ,960 ,015 63,565 ,000 1,017 1,081 ,960 ,960 ,960 1,000 1,000
a Dependent Variable: HL

Coefficient Correlations(a)
Model DL
1 Correlations DL 1,000
Covariances DL 2,724E-04
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows DL HL
1 DL 1,000(xx) -,960(xy)
HL ,960(yx) ,079(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: HL



Collinearity Diagnostics(a)

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

EQUATION 22

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl Dr/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER Dr.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

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

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





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 ,974(a) ,950 ,949 4,940E-02 ,950 6555,120 1 348 ,000 -2103,454 ,051 2,000 -2095,738
a Predictors: (Constant), DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 15,998 1 15,998 6555,120 ,000(a)
Residual ,849 348 2,440E-03

Total 16,847 349


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



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 3,660 ,014

266,296 ,000 3,633 3,687




DR -,105 ,001 -,974 ,012 -80,964 ,000 -,108 -,103 -,974 -,974 -,974 1,000 1,000
a Dependent Variable: HL

Coefficient Correlations(a)
Model DR
1 Correlations DR 1,000
Covariances DR 1,689E-06
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows DR HL
1 DR 1,000(xx) ,974(xy)
HL -,974(yx) ,050(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: HL



Collinearity Diagnostics(a)

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

EQUATION 23

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl DdDl/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER DdDl.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





Model Summary

R R Square Adjusted R Square Std. Error of the Estimate Change Statistics Selection Criteria
Model R Square Change F Change df1 df2 Sig. F Change Akaike Information Criterion Amemiya Prediction Criterion Mallows' Prediction Criterion Schwarz Bayesian Criterion
1 ,962(a) ,926 ,926 5,987E-02 ,926 4352,594 1 348 ,000 -1968,954 ,075 2,000 -1961,238
a Predictors: (Constant), DDDL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 15,600 1 15,600 4352,594 ,000(a)
Residual 1,247 348 3,584E-03

Total 16,847 349


a Predictors: (Constant), DDDL
b Dependent Variable: HL



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) 5,375 ,043

125,997 ,000 5,291 5,458




DDDL 1,162 ,018 ,962 ,015 65,974 ,000 1,127 1,196 ,962 ,962 ,962 1,000 1,000
a Dependent Variable: HL

Coefficient Correlations(a)
Model DDDL
1 Correlations DDDL 1,000
Covariances DDDL 3,100E-04
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows DDDL HL
1 DDDL 1,000(xx) -,962(xy)
HL ,962(yx) ,074(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: HL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DDDL
1 1 1,997 1,000 ,00 ,00
2 2,818E-03 26,623 1,00 1,00
a Dependent Variable: HL

EQUATION 24

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1l DdDl/ STATISTICS = all/ DEPENDENT = H1l/
METHOD = ENTER DdDl.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,17

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DDDL(a) , Enter
a All requested variables entered.
b Dependent Variable: H1L





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 ,960(a) ,922 ,922 6,854E-02 ,922 4137,072 1 348 ,000 -1874,272 ,078 2,000 -1866,556
a Predictors: (Constant), DDDL

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 19,433 1 19,433 4137,072 ,000(a)
Residual 1,635 348 4,697E-03

Total 21,068 349


a Predictors: (Constant), DDDL
b Dependent Variable: H1L



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) 5,592 ,049

114,517 ,000 5,496 5,688




DDDL 1,297 ,020 ,960 ,015 64,320 ,000 1,257 1,336 ,960 ,960 ,960 1,000 1,000
a Dependent Variable: H1L

Coefficient Correlations(a)
Model DDDL
1 Correlations DDDL 1,000
Covariances DDDL 4,064E-04
a Dependent Variable: H1L

Swept Correlation Matrix(a)

Columns
Model Rows DDDL H1L
1 DDDL 1,000(xx) -,960(xy)
H1L ,960(yx) ,078(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: H1L



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DDDL
1 1 1,997 1,000 ,00 ,00
2 2,818E-03 26,623 1,00 1,00
a Dependent Variable: H1L

EQUATION 25

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = H1l Dr/ STATISTICS = all/ DEPENDENT = H1l/
METHOD = ENTER Dr.
Resources Memory Required 1508 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,03

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

Variables Entered/Removed(b)
Model Variables Entered Variables Removed Method
1 DR(a) , Enter
a All requested variables entered.
b Dependent Variable: H1L





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 ,975(a) ,950 ,950 5,505E-02 ,950 6604,553 1 348 ,000 -2027,696 ,051 2,000 -2019,980
a Predictors: (Constant), DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 20,013 1 20,013 6604,553 ,000(a)
Residual 1,055 348 3,030E-03

Total 21,068 349


a Predictors: (Constant), DR
b Dependent Variable: H1L



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 3,682 ,015

240,373 ,000 3,652 3,712




DR -,118 ,001 -,975 ,012 -81,268 ,000 -,121 -,115 -,975 -,975 -,975 1,000 1,000
a Dependent Variable: H1L

Coefficient Correlations(a)
Model DR
1 Correlations DR 1,000
Covariances DR 2,097E-06
a Dependent Variable: H1L

Swept Correlation Matrix(a)

Columns
Model Rows DR H1L
1 DR 1,000(xx) ,975(xy)
H1L -,975(yx) ,050(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: H1L



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DR
1 1 1,981 1,000 ,01 ,01
2 1,863E-02 10,314 ,99 ,99
a Dependent Variable: H1L

EQUATION 26

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl D Dl2/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER D Dl2.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,976(a) ,952 ,952 4,817E-02 ,952 3456,434 2 347 ,000 -2120,097 ,049 3,000 -2108,523
a Predictors: (Constant), DL2, D

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 16,042 2 8,021 3456,434 ,000(a)
Residual ,805 347 2,321E-03

Total 16,847 349


a Predictors: (Constant), DL2, D
b Dependent Variable: HL



Coefficients(a)

Unstandardized Coefficients Standardized Coefficients t Sig. 95% Confidence Interval for B Correlations Collinearity Statistics
Model B Std. Error Beta Std. Error Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
1 (Constant) 4,875 ,113

43,099 ,000 4,652 5,097




D -4,703 ,503 -,458 ,049 -9,360 ,000 -5,692 -3,715 ,915 -,449 -,110 ,057 17,394
DL2 -,338 ,012 -1,414 ,049 -28,895 ,000 -,361 -,315 -,970 -,840 -,339 ,057 17,394
a Dependent Variable: HL

Coefficient Correlations(a)
Model DL2 D
1 Correlations DL2 1,000 ,971
D ,971 1,000
Covariances DL2 1,370E-04 5,711E-03
D 5,711E-03 ,253
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows DL2 D HL
1 DL2 17,394(xx) 16,887 1,414(xy)
D 16,887 17,394(xx) ,458(xy)
HL -1,414(yx) -,458(yx) ,048(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: HL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) D DL2
1 1 2,930 1,000 ,00 ,00 ,00
2 6,968E-02 6,484 ,00 ,02 ,01
3 3,400E-04 92,826 1,00 ,98 ,99
a Dependent Variable: HL

EQUATION 27

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl Dl Dl2/ ORIGIN/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER Dl Dl2.
Resources Memory Required 1708 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,01

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

Variables Entered/Removed(b,c)
Model Variables Entered Variables Removed Method
1 DL2, DL(a) , Enter
a All requested variables entered.
b Dependent Variable: HL
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 1,000(b) 1,000 1,000 5,404E-02 1,000 398035,154 2 348 ,000 -2040,682 ,000 2,000 -2032,966
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: DL2, DL

ANOVA(c,d)
Model Sum of Squares df Mean Square F Sig.
1 Regression 2324,418 2 1162,209 398035,154 ,000(a)
Residual 1,016 348 2,920E-03

Total 2325,434(b) 350


a Predictors: DL2, DL
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: HL
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 DL -3,356 ,015 -3,032 ,014 -220,897 ,000 -3,386 -3,326 -,986 -,996 -,248 ,007 150,084
DL2 -,962 ,006 -2,054 ,014 -149,598 ,000 -,975 -,950 ,969 -,992 -,168 ,007 150,084
a Dependent Variable: HL
b Linear Regression through the Origin

Coefficient Correlations(a,b)
Model DL2 DL
1 Correlations DL2 1,000 ,997
DL ,997 1,000
Covariances DL2 4,137E-05 9,740E-05
DL 9,740E-05 2,308E-04
a Dependent Variable: HL
b Linear Regression through the Origin

Swept Correlation Matrix(a,b)

Columns
Model Rows DL2 DL HL
1 DL2 150,084(xx) 149,583 2,054(xy)
DL 149,583 150,084(xx) 3,032(xy)
HL -2,054(yx) -3,032(yx) ,000(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: HL
b Linear Regression through the Origin



Collinearity Diagnostics(a,b)

Eigenvalue Condition Index Variance Proportions
Model Dimension DL DL2
1 1 1,997 1,000 ,00 ,00
2 3,337E-03 24,461 1,00 1,00
a Dependent Variable: HL
b Linear Regression through the Origin

EQUATION 28

Regression

Notes
Output Created 19-OCT-2004 09:34:46
Comments
Input Data C:\Documents and Settings\kiki\Desktop\Rennolls\Height-Diameter\h_d.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 350
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on cases with no missing values for any variable used.
Syntax REGRESSION VARIABLES = Hl Dsr Dr D2r/ STATISTICS = all/ DEPENDENT = Hl/
METHOD = ENTER Dsr Dr D2r.
Resources Memory Required 1948 bytes
Additional Memory Required for Residual Plots 0 bytes
Elapsed Time 0:00:00,02

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

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





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 ,976(a) ,953 ,952 4,806E-02 ,953 2315,968 3 346 ,000 -2120,744 ,049 4,000 -2105,312
a Predictors: (Constant), D2R, DSR, DR

ANOVA(b)
Model Sum of Squares df Mean Square F Sig.
1 Regression 16,048 3 5,349 2315,968 ,000(a)
Residual ,799 346 2,310E-03

Total 16,847 349


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



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) 6,920 ,734

9,430 ,000 5,477 8,364




DSR -5,428 1,200 -,802 ,177 -4,525 ,000 -7,787 -3,068 ,941 -,236 -,053 ,004 228,977
DR -,321 ,051 -2,973 ,471 -6,314 ,000 -,421 -,221 -,974 -,321 -,074 ,001 1617,039
D2R 6,165E-03 ,002 1,230 ,306 4,023 ,000 ,003 ,009 -,967 ,211 ,047 ,001 681,700
a Dependent Variable: HL

Coefficient Correlations(a)
Model D2R DSR DR
1 Correlations D2R 1,000 -,959 -,994
DSR -,959 1,000 ,983
DR -,994 ,983 1,000
Covariances D2R 2,349E-06 -1,763E-03 -7,747E-05
DSR -1,763E-03 1,439 5,994E-02
DR -7,747E-05 5,994E-02 2,584E-03
a Dependent Variable: HL

Swept Correlation Matrix(a)

Columns
Model Rows D2R DSR DR HL
1 D2R 681,700(xx) -378,780 -1043,894 -1,230(xy)
DSR -378,780 228,977(xx) 598,035 ,802(xy)
DR -1043,894 598,035 1617,039(xx) 2,973(xy)
HL 1,230(yx) -,802(yx) -2,973(yx) ,047(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: HL



Collinearity Diagnostics(a)

Eigenvalue Condition Index Variance Proportions
Model Dimension (Constant) DSR DR D2R
1 1 3,870 1,000 ,00 ,00 ,00 ,00
2 ,128 5,489 ,00 ,00 ,00 ,00
3 1,239E-03 55,899 ,00 ,01 ,01 ,04
4 6,595E-06 766,041 1,00 ,99 ,99 ,96
a Dependent Variable: HL