 
 
 
             Dataset AHe
Results of weigthed least square from file testAHe.txt

xmax/min = 3.581, 2.441
ymax/min = 7.3, 2.9
x/y mean = 3.1959999999999997, 5.316666666666667

Methods used are: 
   - kmpfit:  kapteyn method, from https://www.astro.rug.nl/software/kapteyn/kmpfittutorial.html 
              with error on X and Y or Y only or none 
   - ODR: Orthogonal Distance Regression 
   - Williamson: least square fitting with errors in X and Y according to 
                 Williamson (Canadian Journal of Physics, 46, 1845-1847, 1968) 


======== Results kmpfit: weights for both coordinates =========
Fitted parameters:      [-5.98497559418115, 3.456463189551971]
Covariance errors:      [1.71895379 0.55645926]
Standard errors         [6.5615062  2.12408903]
Chi^2 min:              58.28256746365461
Reduced Chi^2:          14.570641865913652
Iterations:             19


======== Results kmpfit unit weighting =========
Fitted parameters:      [-0.7340412246986334, 1.8932127319666148]
Covariance errors:      [3.08179434 0.95576788]
Standard errors         [5.27622855 1.63633559]
Chi^2 min:              11.724649904083305
Reduced Chi^2:          2.9311624760208264

======== Results ODR =========
Fitted parameters:      [-5.98505995  3.45649118]
Covariance errors:      [1.71898414 0.55646867]
Standard errors:        [6.56162205 2.12412494]
Minimum chi^2:          58.282567462367496
Minimum (reduced)chi^2: 14.570641865591874

======== Results Williamson =========
Average x weighted:     3.091651057438367
Average x unweighted:   3.1959999999999997
Fitted parameters:      [-5.985061208611417,3.4564915953771105]
Covariance errors:      [4.023165092625834,1.3260818393944522]
Minimum chi^2:          58.2825674636546

=====================================
Practical results:                     a       +       b     *   x
kmpfit unweighted:                 -0.7340           1.8932
   Exhumation Rate:        0.5282
   Min. Exh. Rate:        1.6286
   Max. Exh. Rate:        0.3152
kmpfit effective variance:          -5.9850           3.4565
   Exhumation Rate:        0.2893
   Min. Exh. Rate:        0.5002
   Max. Exh. Rate:        0.2035
ODR:                                -5.9851           3.4565
   Exhumation Rate:        0.2893
   Min. Exh. Rate:        0.5002
   Max. Exh. Rate:        0.2035
Williamson:                         -5.9851           3.4565
   Exhumation Rate:        0.2893
   Min. Exh. Rate:       -0.0182
   Max. Exh. Rate:        0.0162
