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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