--------------------------------------- BETA - LANCZOS3 --------------------------------------- NLS Y B1*EXP(-B2*X) + B3*EXP(-B4*X) + B5*EXP(-B6*X) / INPUTB B1=1.2 B2=0.3 B3=5.6 B4=5.5 B5=6.5 B6=7.6 NONLINEAR LEAST SQUARES ESTIMATION NONLINEAR EQUATION = B1*EXP(-B2*X)+B3*EXP(-B4*X)+B5*EXP(-B6*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 13 DEPENDENT VARIABLE IS Y RESULTS OUTPUT # 2 OBSERVATIONS FROM 1 TO 24 USING STARTING VALUES --------------------- B1 1.2 B2 .3 B3 5.6 B4 5.5 B5 6.5 B6 7.6 USING ALGORITHM GAUSS-NEWTON NUMBER OF OBSERVATIONS 24 DEGREES OF FREEDOM 18 R**2 1 R**2 ADJ 1 UNCENTERED R**2 1 MEAN OF DEP VAR .5998709 F-TEST MAY BE INVALID-SEE MANUAL F TEST 1.980879E+09 PROB OF F TEST 0 DURBIN-WATSON 2.354235 DURBIN'S H 0 R**2 TIMES N 24 VARIANCE OF ESTIMATE 8.953996E-10 SUM OF SQUARED RESID 1.611719E-08 SEE OR RMSE 2.992323E-05 SUM OF ABS(RES) 5.402285E-04 RHO -.1803153 LOG(LIKELIHOOD) 219.4027 SCHWARZ CRITERION 209.8685 AKAIKE CRITERION 213.4027 STD DEV OF DEP VAR .6802196 NAME COEFFICIENT STD. ERR. T-RATIO SIGNIF ---------------------------------------------------------------------- B1 8.681642E-02 1.719791E-02 5.04808 0.000084 B2 .954981 9.704162E-02 9.840942 0.000000 B3 .8440078 4.148867E-02 20.34309 0.000000 B4 2.951595 .1076631 27.4151 0.000000 B5 1.582569 5.837158E-02 27.11197 0.000000 B6 4.986357 .0344364 144.799 0.000000 --------------------------------------- NIST - LANCZOS3 --------------------------------------- STARTING VALUES CERTIFIED VALUES START 1 START 2 PARAMETER STANDARD DEVIATION B1 = 1.2 0.5 8.6816414977E-02 1.7197908859E-02 B2 = 0.3 0.7 9.5498101505E-01 9.7041624475E-02 B3 = 5.6 3.6 8.4400777463E-01 4.1488663282E-02 B4 = 5.5 4.2 2.9515951832E+00 1.0766312506E-01 B5 = 6.5 4 1.5825685901E+00 5.8371576281E-02 B6 = 7.6 6.3 4.9863565084E+00 3.4436403035E-02 RESIDUAL SUM OF SQUARES: 1.6117193594E-08 RESIDUAL STANDARD DEVIATION: 2.9923229172E-05 DEGREES OF FREEDOM: 18 NUMBER OF OBSERVATIONS: 24