Appendix A: Coefficients of causal factors and percentage built-up by linear regression
analyses
Dependent
Variable (y) |
Independent
Variables (x) |
Equation
(y = a*x + b) |
Standard
Error of ‘y’ Estimate |
Correlation
Coefficient, r |
pcbuilt |
pop99 |
y = 0.000611 x + 10.87149 |
13.0163 |
0.5327 |
pcbuilt |
popaden |
y = - 0.0004 x + 19.5719 |
11.2594 |
0.2070 |
pcbuilt |
popbden |
y = 0.005774 x + 7.849476 |
10.1397 |
0.6474 |
pcbuilt |
agr |
y = 0.635301 x + 13.0499 |
13.2391 |
0.0990 |
pcbuilt |
mangdist |
y = - 0.31149 x + 22.93755 |
12.2142 |
0.3965 |
pcbuilt |
udupidist |
y = 0.315763 x + 5.584017 |
12.1528 |
0.4070 |
Appendix B: Coefficients of causal factors and percentage built-up by polynomial
(order=2) regression analyses
Dependent
Variable (y) |
Independent
Variables (x) |
Equation
(y = a*x2 + b*x +c) |
Standard
Error of ‘y’ Estimate |
Correlation
Coefficient, r |
pcbuilt |
pop99 |
y = 0.0006*x2 – 1.5*10-9*x
+ 9.7776 |
10.9210 |
0.5784 |
pcbuilt |
popaden |
y = -0.00037*x2 – 2.7*10-9*x
+ 18.555 |
13.0577 |
0.2208 |
pcbuilt |
popbden |
y = 0.005651*x2 – 1.2*10-7*x
+ 6.8950 |
9.7880 |
0.6823 |
pcbuilt |
agr |
y = 0.66679*x2 + 0.05754*x +
13.3308 |
13.3190 |
0.1017 |
pcbuilt |
mangdist |
y = -1.7953*x2 + 0.02593*x +
36.8607 |
10.6784 |
0.6032 |
pcbuilt |
udupidist |
y = -0.9027*x2 + 0.002242*x +
15.9731 |
10.8729 |
0.5835 |
Appendix C: Coefficients of causal factors and percentage built-up by logarithmic
regression analyses
Dependent
Variable (y) |
Independent
Variables (x) |
Equation (log
y = log(a) + b*log x) |
Standard
Error of ‘y’ Estimate |
Correlation
Coefficient, r |
lnpcbuilt |
lnpop99 |
y = – 0.429 + 0.331*x |
0.7656 |
0.3835 |
lnpcbuilt |
lnpopaden |
y = – 1.308 + 0.527*x |
0.7282 |
0.4779 |
lnpcbuilt |
lnpopbden |
y = + 7.796 – 0.593*x |
0.6754 |
0.3363 |
lnpcbuilt |
lnagr |
y = + 2.275 + 0.104*x |
0.8263 |
0.0799 |
lnpcbuilt |
lnmangdist |
y = + 3.718 – 0.456*x |
0.7208 |
0.4939 |
lnpcbuilt |
lnudupidist |
y = + 2.008 + 0.114*x |
0.8192 |
0.1527 |
Energy | CES | IISc | Envis | Envis Node |