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Questions on the use of Mathematica to construct models for approximating empirical data.

5 votes

Can one force a linear regression fit to go through an arbitrary point?

Here's a hacky solution: use the Weights option in LinearModelFit to give the point at (0,100) a huge weight. fit2 = Normal[LinearModelFit[data, x, x, Weights -> Table[If[i == 1, 10^20, 1], {i, Len …
Chris K's user avatar
  • 20.4k
8 votes

FindMinimum works only if you know the answer

This is more of an extended comment than an answer. First, building off @JackLaVigne's work, I think it's better to work in log of your parameters, so I defined a new objective function chiSquared2[ …
Chris K's user avatar
  • 20.4k
4 votes
Accepted

How to correctly show the slope of a linear part on LogPlot

Sorry, I didn't realize that you linked to the data in your post, but as @Roman noted, the InterpolatingFunction seems broken. Anyhow, I managed to extract enough to find another problem besides @Rom …
Chris K's user avatar
  • 20.4k
2 votes
Accepted

Polynomial fitting to obtain the growth rate

First, plot your data ($n$ vs $t$) on a log scale: ListLogPlot[data] As Roman suggests, a linear fit on log scale is the growth rate you're interested in. It doesn't look like there's any lag phase …
Chris K's user avatar
  • 20.4k