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*From*: David Bowman <David_Bowman@georgetowncollege.edu>*Date*: Mon, 13 Apr 2020 18:58:01 +0000

BTW, in case some readers don't know how the linear fitting procedure (I described earlier) for the logistic function works, I probably should mention some more detail. It's fairly easy to see. Note if we start with

y_n = y_∞/(1 + (1 + g)^(n* - n))

then some simple algebra yields

y_n/y_(n-1) -1 = g*(1 - y_n/y_∞) .

Note the RHS has the form of a line whose independent variable is the set of y_n values and which has a vertical intercept of g and a horizontal intercept of y_∞. So plotting y_n/y_(n-1) - 1 vs y_n yields a line with the aforementioned intercepts whenever the logistic model actually does represent the data reasonably well. That is all there is to it.

David Bowman

**References**:**[Phys-L] Finally ... normalized (by population) data, and Andorra***From:*bernard cleyet <bernard@cleyet.org>

**Re: [Phys-L] Finally ... normalized (by population) data, and Andorra***From:*brian whatcott <betwys1@sbcglobal.net>

**Re: [Phys-L] Finally ... normalized (by population) data, and Andorra***From:*David Bowman <David_Bowman@georgetowncollege.edu>

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