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Find a dood function for fitting data

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42096] Find a dood function for fitting data
  • From: guillerm at usal.es
  • Date: Thu, 19 Jun 2003 03:59:00 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

(*Dear friend, I want fit these  data *)

data = {{0.5, 0.089}, {0.7, 0.12}, {1, 0.1652}, {2, 0.254}, {3, 0.3}, {
        4, 0.325}, {5, 0.34}, {7, 0.35}, {10, 0.35}, {15, 0.33}, {20, 0.32}};

(*I have tested with a few function such as that the follow, but I 
      have not found a good fit*)

Needs["Statistics`NonlinearFit`"];

fit[x1_] = NonlinearFit[data, a1 x1^b1 Exp[b2 x1], {x1}, {a1, b1, b2}]

Plot[fit[x1], {x1, 0.5, 20}, Epilog -> Map[Point, data]]

(*I have the same problem with this other data*)

data1= {{0.5, 0.11}, {0.7, 0.15}, {1, 0.2112}, {2, 0.322}, {3, 0.37}, {4, 
0.391}, {5, 0.399}, {7, 0.4}, {10, 0.38}, {15, 0.36}, {20, 0.33}};

(*I will appreciate if you find a good fit, with no many parameters, for both 
data. Thanks
Guillermo
Sanchez*)

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