COMMENT --------------------------------------- Betahat - Enso ---------------------------------------
INPATH C:\Projects\Code\Beta\Benchmarks\Nonlinear
OPEN Enso_NIST.PRN
USE 1 168
GENR PI = 3.141592653589793238462643383279E0  

NLS  Y b1 + b2*cos( 2*pi*x/12 ) + b3*sin( 2*pi*x/12 )  + b5*cos( 2*pi*x/b4 ) + b6*sin( 2*pi*x/b4 )+b8*cos( 2*pi*x/b7 ) + b9*sin( 2*pi*x/b7 )       /  INPUTB B1=11.0 B2=3.0 B3=0.5 B4=40.0 B5=-0.7 B6=-1.3 B7=25.0 B8=-0.3 B9=1.4
NLS  Y b1 + b2*cos( 2*pi*x/12 ) + b3*sin( 2*pi*x/12 )  + b5*cos( 2*pi*x/b4 ) + b6*sin( 2*pi*x/b4 )+b8*cos( 2*pi*x/b7 ) + b9*sin( 2*pi*x/b7 )       /  INPUTB B1=10.0 B2=3.0 B3=0.5 B4=44.0 B5=-1.5 B6=0.5 B7=26.0 B8=-0.1 B9=1.5
                                
COMMENT --------------------------------------- Nist - Enso ---------------------------------------
'Source is http://www.itl.nist.gov/div898/strd/nls/data/enso.shtml
COMMENT           Starting values                  Certified Values
COMMENT 
COMMENT         Start 1     Start 2           Parameter     Standard Deviation
COMMENT   b1 =   11.0        10.0          1.0510749193E+01  1.7488832467E-01
COMMENT   b2 =    3.0         3.0          3.0762128085E+00  2.4310052139E-01
COMMENT   b3 =    0.5         0.5          5.3280138227E-01  2.4354686618E-01
COMMENT   b4 =   40.0        44.0          4.4311088700E+01  9.4408025976E-01
COMMENT   b5 =   -0.7        -1.5         -1.6231428586E+00  2.8078369611E-01
COMMENT   b6 =   -1.3         0.5          5.2554493756E-01  4.8073701119E-01
COMMENT   b7 =   25.0        26.0          2.6887614440E+01  4.1612939130E-01
COMMENT   b8 =   -0.3        -0.1          2.1232288488E-01  5.1460022911E-01
COMMENT   b9 =    1.4         1.5          1.4966870418E+00  2.5434468893E-01
COMMENT 
COMMENT Residual Sum of Squares:                    7.8853978668E+02
COMMENT Residual Standard Deviation:                2.2269642403E+00
COMMENT Degrees of Freedom:                               159
COMMENT Number of Observations:                           168
COMMENT