 
 
 
             Dataset AFT
Results of weigthed least square from file testAFT.txt

xmax/min = 3.581, 1.61
ymax/min = 20.2, 1.8
x/y mean = 2.7316000000000003, 10.4

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:      [-11.362535469164941, 7.467304227100503]
Covariance errors:      [3.08122032 1.50410645]
Standard errors         [5.44648221 2.65871575]
Chi^2 min:              9.373632566209988
Reduced Chi^2:          3.1245441887366625
Iterations:             10


======== Results kmpfit unit weighting =========
Fitted parameters:      [-16.91800350693354, 10.00073346037246]
Covariance errors:      [1.71050955 0.60441232]
Standard errors         [7.11339746 2.51353466]
Chi^2 min:              51.88291852702955
Reduced Chi^2:          17.294306175676518

======== Results ODR =========
Fitted parameters:      [-11.36255632   7.46731427]
Covariance errors:      [3.08123018 1.50410994]
Standard errors:        [5.44649964 2.65872193]
Minimum chi^2:          9.373632566171347
Minimum (reduced)chi^2: 3.124544188723782

======== Results Williamson =========
Average x weighted:     1.97688907049901
Average x unweighted:   2.7316000000000003
Fitted parameters:      [-11.3625569590315,7.4673146066452425]
Covariance errors:      [3.979944120862591,1.9369964455818407]
Minimum chi^2:          9.373632566209988

=====================================
Practical results:                     a       +       b     *   x
kmpfit unweighted:                -16.9180          10.0007
   Exhumation Rate:        0.1000
   Min. Exh. Rate:        0.1188
   Max. Exh. Rate:        0.0863
kmpfit effective variance:         -11.3625           7.4673
   Exhumation Rate:        0.1339
   Min. Exh. Rate:        0.1713
   Max. Exh. Rate:        0.1099
ODR:                               -11.3626           7.4673
   Exhumation Rate:        0.1339
   Min. Exh. Rate:        0.1713
   Max. Exh. Rate:        0.1099
Williamson:                        -11.3626           7.4673
   Exhumation Rate:        0.1339
   Min. Exh. Rate:       -0.5246
   Max. Exh. Rate:        0.0594
