Re: Model fitting
- To: mathgroup at smc.vnet.net
- Subject: [mg128783] Re: Model fitting
- From: Dmitry Zinoviev <dzinoviev at gmail.com>
- Date: Sun, 25 Nov 2012 05:00:51 -0500 (EST)
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On Saturday, November 24, 2012 2:30:51 AM UTC-5, Ray Koopman wrote:
> On Nov 23, 12:31 am, dzinov... at gmail.com wrote:
>
> > I have an array of 3D data in the form {xi,yi,0/1} (that is, the z coordinate is either 0 or 1). The points are not on a rectangular grid. The 0 and 1 areas are more or less contiguous, though the boundary between them can be somewhat fuzzy. The boundary is expected to be described by the equation y=a x^b. How can I adapt NonlinearModelFit or any other standard function to find the best fit values for a and b? Thanks!
>
>
>
> y = a x^b is linear in log-log coordinates, so use LogitModelFit
>
> with Log@x and Log@y as the predictors; i.e., the probability of
>
> observing z == 1 is 1/(1 + Exp[-(b0 + b1*Log@x + b2*Log@y)]).
Than you! I assume that b=b2/b1. How do I calculate a?