 
 
 
             Dataset AFT_{high}
Results of weigthed least square from file testAFT2.txt

xmax/min = 3.581, 2.996
ymax/min = 20.2, 7.8
x/y mean = 3.2996666666666665, 15.9

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:      [-67.30580166348724, 25.287718048565473]
Covariance errors:      [34.59269594 10.73423567]
Standard errors         [29.99184575  9.30657561]
Chi^2 min:              0.7516879157277241
Reduced Chi^2:          0.7516879157277241
Iterations:             6


======== Results kmpfit unit weighting =========
Fitted parameters:      [-56.18129115332381, 21.845022068892956]
Covariance errors:      [7.98033913 2.41219127]
Standard errors         [32.44303287  9.80645049]
Chi^2 min:              16.527234872435418
Reduced Chi^2:          16.527234872435418

======== Results ODR =========
Fitted parameters:      [-67.3058087   25.28772024]
Covariance errors:      [34.5926951  10.73423598]
Standard errors:        [29.99184502  9.30657588]
Minimum chi^2:          0.7516879157277869
Minimum (reduced)chi^2: 0.7516879157277869

======== Results Williamson =========
Average x weighted:     3.213594156965475
Average x unweighted:   3.2996666666666665
Fitted parameters:      [-67.30580016359598,25.28771758234956]
Covariance errors:      [34.20429900361009,10.610741736634074]
Minimum chi^2:          0.7516879157277242

=====================================
Practical results:                     a       +       b     *   x
kmpfit unweighted:                -56.1813          21.8450
   Exhumation Rate:        0.0458
   Min. Exh. Rate:        0.0534
   Max. Exh. Rate:        0.0400
kmpfit effective variance:         -67.3058          25.2877
   Exhumation Rate:        0.0395
   Min. Exh. Rate:        0.0450
   Max. Exh. Rate:        0.0353
ODR:                               -67.3058          25.2877
   Exhumation Rate:        0.0395
   Min. Exh. Rate:        0.0450
   Max. Exh. Rate:        0.0353
Williamson:                        -67.3058          25.2877
   Exhumation Rate:        0.0395
   Min. Exh. Rate:        0.0408
   Max. Exh. Rate:        0.0384
