d = alpha*h

chisq =  661.990144716 ,     ndof =  4
pval =  5.91286788662e-142

Fitted parameters and standard deviations:
thetaHat[ 0 ] =  1.66275637721   +-   0.00900355597217

i, j, cov[i,j], rho[i,j]:
0    0    8.10640201439e-05    1.0

--------------------------------------------

d = alpha*h + beta*h**2

chisq =  64.7418153602 ,     ndof =  3
pval =  5.69619813777e-14

Fitted parameters and standard deviations:
thetaHat[ 0 ] =  2.79292076243   +-   0.0471132439682
thetaHat[ 1 ] =  -0.00135054695218   +-   5.52627144096e-05

i, j, cov[i,j], rho[i,j]:
0    0    0.00221965775721    1.0
0    1    -2.55562047006e-06    -0.981569684146
1    0    -2.55562047006e-06    -0.981569684146
1    1    3.05396760392e-09    1.0

--------------------------------------------

d = alpha * h**beta

chisq =  3.75592846017 ,     ndof =  3
pval =  0.28905417499

Fitted parameters and standard deviations:
thetaHat[ 0 ] =  43.7605903843   +-   4.80041544888
thetaHat[ 1 ] =  0.511056012193   +-   0.0165359257354

i, j, cov[i,j], rho[i,j]:
0    0    23.0439884819    1.0
0    1    -0.0792843811242    -0.998804068295
1    0    -0.0792843811242    -0.998804068295
1    1    0.000273436839927    1.0

--------------------------------------------

d = alpha * sqrt(h) 
                                                       
chisq =  4.207552184269376 ,     ndof =  4
pval =  0.3786448336365108

Fitted parameters and standard deviations:
thetaHat[ 0 ] =  47.08576780207972   +-   0.252538136525809

 i, j, cov[i,j], rho[i,j]:
0    0    0.06377551039992814    1.0