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Re: Rationalized Fitting

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125409] Re: Rationalized Fitting
  • From: Antonio Alvaro Ranha Neves <aneves at gmail.com>
  • Date: Tue, 13 Mar 2012 03:01:39 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jhienb$b3o$1@smc.vnet.net>

No reply? Guess it's harder than it looks.


On Thursday, February 16, 2012 9:28:27 AM UTC+1, Antonio Alvaro Ranha Neves wrote:
> Hello group members and advanced users,
> 
> Recently, I was trying to obtain the best fitting function with rational parameters, without success. I tried something like,
> 
> NoisyParabola = 
>  Table[{x, (Prime[7]/Prime[8] + x Prime[9]/Prime[10] + 
>       Prime[11]/Prime[12] x^2)*RandomReal[{.95, 1.05}]}, {x, 1, 10, 
>    1/4}]
> NLMFit = NonlinearModelFit[NoisyParabola, 
>   Rationalize[a, 10^-6] + x Rationalize[b, 10^-6] + 
>    Rationalize[c, 10^-6] x^2, {a, b, c}, x] 
> NLMFit["ParameterTable"]
> 
> The main idea is to obtain the fitting coefficients (a,b,c) whose standard deviation (da,db,dc), would yield a fitting result of a best fit rational Rationalize[a,da]. But I fail to see how I can get this interactively.
> 
> Hope I made myself clear,
> Thanks,
> Antonio




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