H!
I've spent a lot of time reading Mathematica's Document Center and stackoverflow (among other sites), but I haven't found any answer to my question: How in Mathematica I can compare areas (quantitatively) of function (to be precise - results) and its fit. I'd like to get some numerical estimation of my fit. The function of course is in 3D.
Cheers,
John
Calculating area of fitted function to compare with results - Mathematica
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If the actual goal is to estimate how good your fit is, then you do not need to calculate any "areas" - Mathematica has built in analysis offered by LinearModelFit[...] and NonlinearModelFit[...]. Let's make up some dataset scattered around a Gaussian surface:
Introduce a Gaussian surface model to fit these data:
Now, do the nonlinear regression:
Obtain and plot the best fit:
The function nlm[…] contains a lot of information:
Here are few properties relevant to your request:
Thanks, Vitaliy