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Fitting problem: Linear vs Nonlinear

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38466] Fitting problem: Linear vs Nonlinear
  • From: guillerm at usal.es
  • Date: Wed, 18 Dec 2002 01:53:56 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

(*I have the function that follow that is known*)

f[t_]= 0.3 Exp[-0.13 t]- 0.2 Exp[-0.5 t];

(*I have the model*)

y[a_,t_]:= a f[t]+ Random[Real, {-0.01, 0.01}]

(*With this model are simultated a few experimental data*)

sample=Table[{t, y[5,t]}, {t, 0,10}];


(* I wish estimated  "a" ,that I suposse that is unknown, fitting  "sample"
    If I apply the package NonlinearFit it works but I receive the message:  
      try using Regress from the "Statistics`LinearRegression`" package*)

Needs["Statistics`NonlinearFit`"];

NonlinearRegress[sample,a f[t],{t},{a,5}]

(*How can I fit this data  using :*)

Needs["Statistics`LinearRegression`"]

Thanks

Guillermo

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