Re: r-Squared Question
- From: Richard Ulrich <Rich.Ulrich@xxxxxxxxxxx>
- Date: Fri, 15 Jul 2005 13:56:51 -0400
On 14 Jul 2005 21:40:57 -0700, "Reef Fish"
<Large_Nassau_Grouper@xxxxxxxxx> wrote:
[ snip, much]
[Jerry]> >
> > *I* calculated the residuals: Y-Yhat
> >
> > ResSS is the sum of their (residuals) squares = 85. However, TSS =
> > Sum[(Y-105.5)^2] is only 82.5.
> >
> > I plug those numbers into 1-ResSS/TotSS and get -0.03. Do you get
> > something different?
RF >
> No, I didn't even look at your data! :-) I was looking ONLY
> at the definitions you gave, and saw that:
>
> (a) all had RegSS/TotSS which cannot be negative,
>
Bob Ling reads badly.
Bob Ling is clueless when it comes to definitions
of R^2 that are useful for nonlinear regression -- or,
for non-OLS or -ML solutions to something that might
otherwise be called a linear regression problem, which
is the topic of this thread.... As Jerry wrote,
RegSS= 85, TSS= 82.5.
Thus, RegSS/TotSS is greater than 1.0, not "negative."
Thus, "1 minus the fraction" is what is negative.
[ ... ]
--
Rich Ulrich, wpilib@xxxxxxxx
http://www.pitt.edu/~wpilib/index.html
.
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