 
 
 
             Dataset AFT_{low}
Results of weigthed least square from file testAFT3.txt

xmax/min = 2.996, 1.61
ymax/min = 7.8, 1.8
x/y mean = 2.251666666666667, 4.033333333333333

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:      [-3.5280583026889403, 3.1770071509696054]
Covariance errors:      [3.04889618 1.63954516]
Standard errors         [3.27840273 1.7629624 ]
Chi^2 min:              1.1562169517682472
Reduced Chi^2:          1.1562169517682472
Iterations:             8


======== Results kmpfit unit weighting =========
Fitted parameters:      [-6.100883352647452, 4.500762406801237]
Covariance errors:      [2.35082237 1.01206038]
Standard errors         [3.10959387 1.33872162]
Chi^2 min:              1.7497165991902817
Reduced Chi^2:          1.7497165991902817

======== Results ODR =========
Fitted parameters:      [-3.528059    3.17700751]
Covariance errors:      [3.04889718 1.63954548]
Standard errors:        [3.2784038  1.76296275]
Minimum chi^2:          1.1562169517682497
Minimum (reduced)chi^2: 1.1562169517682497

======== Results Williamson =========
Average x weighted:     1.824543255293346
Average x unweighted:   2.251666666666667
Fitted parameters:      [-3.5280586480915117,3.1770073353200767]
Covariance errors:      [3.3491151412242863,1.7992604962811405]
Minimum chi^2:          1.1562169517682472

=====================================
Practical results:                     a       +       b     *   x
kmpfit unweighted:                 -6.1009           4.5008
   Exhumation Rate:        0.2222
   Min. Exh. Rate:        0.2991
   Max. Exh. Rate:        0.1767
kmpfit effective variance:          -3.5281           3.1770
   Exhumation Rate:        0.3148
   Min. Exh. Rate:        0.5408
   Max. Exh. Rate:        0.2220
ODR:                                -3.5281           3.1770
   Exhumation Rate:        0.3148
   Min. Exh. Rate:        0.5408
   Max. Exh. Rate:        0.2220
Williamson:                         -3.5281           3.1770
   Exhumation Rate:        0.3148
   Min. Exh. Rate:        0.4949
   Max. Exh. Rate:        0.2308
