Double Log form

(formula)

Return to Multiple Regression

Linear dependent variable and logged independent variable

(formula)

Return to Multiple Regression

All specifications

(formulas)

Return to Multiple Regression

Linear
(formula)

Return to Multiple Regression

Quadratic

(formula)

Return to Multiple Regression

Log quadratic

(formula)

Return to Multiple Regression

log linear

Return to Multiple Regression

Chart Showing formulas for figures

Formulas for 1st five points
Linear logearn quadratic + log
1 9902.1+169.73*A3 EXP(9.0+0.014*A3) EXP(8.55+0.076*A3-0.001*A3*A3)
2 9902.1+169.73*A4 EXP(9.0+0.014*A4) EXP(8.55+0.076*a4-0.001*a4*a4)
3 9902.1+169.73*A5 EXP(9.0+0.014*A5) EXP(8.55+0.076*a5-0.001*a5*a5)
4 9902.1+169.73*A6 EXP(9.0+0.014*A6) EXP(8.55+0.076*a6-0.001*a6*a6)
5 9902.1+169.73*A7 EXP(9.0+0.014*A7) EXP(8.55+0.076*a7-0.001*a7*a7)
quadratic logexp log-log
1 5605.2+762.5*A3-13.16*A3*A3 4961.2+3113.57*LN(A3) EXP(8.511476+0.291746*LN(A3))
2 5605.2+762.5*a4-13.16*a4*a4 4961.2+3113.57*LN(A4) EXP(8.511476+0.291746*LN(A4))
3 5605.2+762.5*a5-13.16*a5*a5 4961.2+3113.57*LN(A5) EXP(8.511476+0.291746*LN(A5))
4 5605.2+762.5*a6-13.16*a6*a6 4961.2+3113.57*LN(A6) EXP(8.511476+0.291746*LN(A6))
5 5605.2+762.5*a7-13.16*a7*a7 4961.2+3113.57*LN(A7) EXP(8.511476+0.291746*LN(A7))
Values for 1st five points
Linear logearn quadratic + log
+log
1 10071.8391 8245.476286 5589.544064
2 10241.56947 8364.417704 6007.974806
3 10411.29983 8485.074858 6439.981845
4 10581.03019 8607.472497 6884.081525
5 10750.76056 8731.635729 7338.582624
quadratic logexp log-log
1 6354.557668 4961.153882 4971.495603
2 7077.598766 7119.318254 6085.711451
3 7774.32009 8381.763482 6849.916496
4 8444.72164 9277.482626 7449.646307
5 9088.803416 9972.256371 7950.762168

Return to Multiple Regression