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NonlinearRegress and errors on parameter fit

• To: mathgroup at smc.vnet.net
• Subject: [mg78293] NonlinearRegress and errors on parameter fit
• From: alan.zablocki at gmail.com
• Date: Wed, 27 Jun 2007 05:41:00 -0400 (EDT)

Dear All

Could someone confirm whether EstimatedVariance is an error on the
value fitted to a parameter using NonlinearRegress? Example:

In[20]:= << NonLinearRegression`

In[26]:= data = {{0, -1}, {2, 0}, {4, 1}}

Out[26]= {{0, -1}, {2, 0}, {4, 1}}

In[27]:= NonlinearRegress[data, a x + b, {a, b}, x]

Out[27]= {BestFitParameters -> {a -> 0.5, b -> -1.},


 EstimatedVariance -> 1.35585*10^-31

I have shown all the working and results. Lastly why only one error on
both a and b?

If this is not the error on a and b, how can I obtain it?

Alan

• Follow-Ups:
  • Re: NonlinearRegress and errors on parameter fit
    • From: Darren Glosemeyer <darreng@wolfram.com>