COMMENT --------------------------------------- Betahat - hahn1 ---------------------------------------
INPATH C:\Projects\Code\Beta\Benchmarks\Nonlinear
OPEN hahn1_NIST.PRN
USE 1 236
NLS Y   (b1+b2*x+b3*x**2+b4*x**3)/(1+b5*x+b6*x**2+b7*x**3)   /  INPUTB B1=10 B2=-1 B3=0.05 B4=-0.00001 B5=-0.05 B6=0.001 B7=-0.000001
NLS Y   (b1+b2*x+b3*x**2+b4*x**3)/(1+b5*x+b6*x**2+b7*x**3)   /  INPUTB B1=1 B2=-.01 B3=0.005 B4=-0.000001 B5=-0.005 B6=0.0001 B7=-0.0000001

COMMENT --------------------------------------- Nist - hahn1 ---------------------------------------
'Source is http://www.itl.nist.gov/div898/strd/nls/data/hahn1.shtml              
COMMENT 
COMMENT           Starting values                  Certified Values
COMMENT 
COMMENT         Start 1     Start 2           Parameter     Standard Deviation
COMMENT   b1 =   10           1            1.0776351733E+00  1.7070154742E-01
COMMENT   b2 =   -1          -0.1         -1.2269296921E-01  1.2000289189E-02
COMMENT   b3 =    0.05        0.005        4.0863750610E-03  2.2508314937E-04
COMMENT   b4 =   -0.00001    -0.000001    -1.4262662514E-06  2.7578037666E-07
COMMENT   b5 =   -0.05       -0.005       -5.7609940901E-03  2.4712888219E-04
COMMENT   b6 =    0.001       0.0001       2.4053735503E-04  1.0449373768E-05
COMMENT   b7 =   -0.000001   -0.0000001   -1.2314450199E-07  1.3027335327E-08
COMMENT 
COMMENT Residual Sum of Squares:                    1.5324382854E+00 
COMMENT Residual Standard Deviation:                8.1803852243E-02
COMMENT Degrees of Freedom:                               229
COMMENT Number of Observations:                           236
COMMENT