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ENSO
Dataset
Certified Values

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




Parameter
     Certified
Estimate
     Certified
Std. Dev. of Est.
     beta(1) 1.0510749193E+01 1.7488832467E-01
     beta(2) 3.0762128085E+00 2.4310052139E-01
     beta(3) 5.3280138227E-01 2.4354686618E-01
     beta(4) 4.4311088700E+01 9.4408025976E-01
     beta(5) -1.6231428586E+00 2.8078369611E-01
     beta(6) 5.2554493756E-01 4.8073701119E-01
     beta(7) 2.6887614440E+01 4.1612939130E-01
     beta(8) 2.1232288488E-01 5.1460022911E-01
     beta(9) 1.4966870418E+00 2.5434468893E-01

Residual
     Sum of Squares 7.8853978668E+02
     Standard Deviation 2.2269642403E+00
     Degrees of Freedom 159