Rationalized Fitting
- To: mathgroup at smc.vnet.net
- Subject: [mg124987] Rationalized Fitting
- From: Antonio Alvaro Ranha Neves <aneves at gmail.com>
- Date: Thu, 16 Feb 2012 03:27:25 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
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