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Dataset
Name:

ENSO

Procedure: Nonlinear Least Squares Regression
Certification Method & Definitions

Data: 1 Response Variable (y)
1 Predictor Variable (x)
168 Observations
Average Level of Difficulty
Observed Data

Model: y = f(x;beta) + e  =  beta(1) + beta(2) cos[2 pi x / 12] + beta(3) sin[2 pi x / 12]
											beta(5) cos[2 pi x / beta(4)] + beta(6) sin[2 pi x / beta(4)]
											beta(8) cos[2 pi x / beta(7)] + beta(9) sin[2 pi x / beta(7)] + e



               Starting Values     

Parameter
     Start 1      Start 2      Start 3
     beta(1) 1.1000000000E+01 1.0000000000E+01 1.0510749193E+01
     beta(2) 3.0000000000E+00 3.0000000000E+00 3.0762128085E+00
     beta(3) 5.0000000000E-01 5.0000000000E-01 5.3280138227E-01
     beta(4) 4.0000000000E+01 4.4000000000E+01 4.4311088700E+01
     beta(5) -7.0000000000E-01 -1.5000000000E+00 -1.6231428586E+00
     beta(6) -1.3000000000E+00 5.0000000000E-01 5.2554493756E-01
     beta(7) 2.5000000000E+01 2.6000000000E+01 2.6887614440E+01
     beta(8) -3.0000000000E-01 -1.0000000000E-01 2.1232288488E-01
     beta(9) 1.4000000000E+00 1.5000000000E+00 1.4966870418E+00