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From: Karl Ratzsch <mail.kfr@gmx.net>
Newsgroups: comp.graphics.apps.gnuplot
Subject: Re: strange discrepancy between stats command result and fitting result
Date: Sun, 14 Apr 2019 18:56:11 +0200
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Am 14.04.2019 um 17:19 schrieb hugocoolens@gmail.com:
> I am puzzled by the following discrepancy between a stats command result and the result which I have from normal Gnuplot fitting:

> f(x)=a*log10(x)+b
> a=-1.06
> b=-4.78
> fit [3e-3:1] f(x) datafile using ($1):($2) via a,b
> stats [3e-3:1] datafile using (log10($1)):($2)
> 
> 
> The Gnuplot fitting gives me y=ax+b, with the correct a=-1.16816 and b=-4.78604
> But the stats-command gives:  y = -3.104 x - 4.194


Not problem with fit or stats, your range setting for stats was
wrong: you have to logarithmise it as well

  stats [log10(3e-3):log10(1)] $dat using (log10($1)):($2)

and the linear model that comes out is y = -1.168 x - 4.786

;-)