ESTIMATING THE KUZNETS CURVE WITH A POLYNOMIAL FUNCTION OF LOG GDP PER CAPITA
>USE 'C:\SYSTAT\ASA9105.SYS' >select v3$<>'GBON' and v3$<>'PKST' and v3$<>'OMAN' and u20smp <> . >stat l10rgdp1 L10RGDP1 N of cases 60 Minimum 2.451786 Maximum 3.975845 Mean 3.376584 Standard Dev 0.418529 >mglh >model u20smp = constant + l10rgdp1 + l10rgdp1*l10rgdp1 >estimate Dep Var: U20SMP N: 60 Multiple R: 0.575803 Squared multiple R: 0.331549 Adjusted squared multiple R: 0.308094 Standard error of estimate: 7.324550 Effect Coefficient Std Error Std Coef Tolerance t P(2 Tail) CONSTANT -63.085168 62.024609 0.0 . -1.01710 0.31340 L10RGDP1 81.408835 37.982385 3.869360 0.003598 2.14333 0.03637 L10RGDP1 *L10RGDP1 -13.966332 5.744243 -4.389341 0.003598 -2.43136 0.01821 Analysis of Variance Source Sum-of-Squares df Mean-Square F-ratio P Regression 1516.750692 2 758.375346 14.135861 0.000010 Residual 3057.995141 57 53.649038 ------------------------------------------------------------------------------- *** WARNING *** Case 86 has large leverage (Leverage = 0.279880) Case 95 has large leverage (Leverage = 0.246588) Durbin-Watson D Statistic 1.386 First Order Autocorrelation 0.302 >let x = l10rgdp1-3.377 >model u20smp = constant + x + x*x >estimate Dep Var: U20SMP N: 60 Multiple R: 0.575803 Squared multiple R: 0.331549 Adjusted squared multiple R: 0.308094 Standard error of estimate: 7.324550 Effect Coefficient Std Error Std Coef Tolerance t P(2 Tail) CONSTANT 52.558622 1.368354 0.0 . 38.41009 0.00000 X -12.919768 2.443388 -0.614076 0.869511 -5.28765 0.00000 X*X -13.966332 5.744243 -0.282364 0.869511 -2.43136 0.01821 Analysis of Variance Source Sum-of-Squares df Mean-Square F-ratio P Regression 1516.750692 2 758.375346 14.135861 0.000010 Residual 3057.995141 57 53.649038 ------------------------------------------------------------------------------- *** WARNING *** Case 86 has large leverage (Leverage = 0.279880) Case 95 has large leverage (Leverage = 0.246588) Durbin-Watson D Statistic 1.386 First Order Autocorrelation 0.302 >plot u20smp*x/stick smooth=quad short