--------------------------------------- BETA - CHWIRUT2 --------------------------------------- NLS Y EXP(-B1*X)/(B2+B3*X) / INPUTB B1=0.1 B2=0.01 B3=0.02 NONLINEAR LEAST SQUARES ESTIMATION NONLINEAR EQUATION = EXP(-B1*X)/(B2+B3*X) ANALYTIC DERIVATIVES MAXIMUM NUMBER OF DIGITS OF CONVERGENCE OF SUM OF SQUARED RESIDUALS 16. ACTUAL NUMBER OF DIGITS OF CONVERGENCE OF SUM OF SQUARED RESIDUALS 16. MAXIMUM NUMBER OF ITERATIONS 100 ACTUAL NUMBER OF ITERATIONS 8 DEPENDENT VARIABLE IS Y RESULTS OUTPUT # 3 OBSERVATIONS FROM 1 TO 54 USING STARTING VALUES --------------------- B1 .1 B2 .01 B3 .02 USING ALGORITHM GAUSS-NEWTON NUMBER OF OBSERVATIONS 54 DEGREES OF FREEDOM 51 R**2 .9860189 R**2 ADJ .9854707 UNCENTERED R**2 .9943307 MEAN OF DEP VAR 31.56407 F-TEST MAY BE INVALID-SEE MANUAL F TEST 1198.929 PROB OF F TEST 0 DURBIN-WATSON 1.028215 DURBIN'S H 0 R**2 TIMES N 53.24502 VARIANCE OF ESTIMATE 10.05976 SUM OF SQUARED RESID 513.048 SEE OR RMSE 3.171713 SUM OF ABS(RES) 108.4853 RHO .3669166 LOG(LIKELIHOOD) -137.4101 SCHWARZ CRITERION -143.3935 AKAIKE CRITERION -140.4101 STD DEV OF DEP VAR 26.31303 NAME COEFFICIENT STD. ERR. T-RATIO SIGNIF ---------------------------------------------------------------------- B1 .1665767 3.830329E-02 4.348887 0.000066 B2 5.165329E-03 6.662161E-04 7.753234 0.000000 B3 1.215001E-02 1.530424E-03 7.938983 0.000000 --------------------------------------- NIST - CHWIRUT2 --------------------------------------- STARTING VALUES CERTIFIED VALUES START 1 START 2 PARAMETER STANDARD DEVIATION B1 = 0.1 0.15 1.6657666537E-01 3.8303286810E-02 B2 = 0.01 0.008 5.1653291286E-03 6.6621605126E-04 B3 = 0.02 0.010 1.2150007096E-02 1.5304234767E-03 RESIDUAL SUM OF SQUARES: 5.1304802941E+02 RESIDUAL STANDARD DEVIATION: 3.1717133040E+00 DEGREES OF FREEDOM: 51 NUMBER OF OBSERVATIONS: 54