[R] Using lm to estimate a parameter?
Hans W Borchers
hwborchers at googlemail.com
Tue Feb 19 14:46:36 CET 2013
Uwe Ligges <ligges <at> statistik.tu-dortmund.de> writes:
>
> On 19.02.2013 11:23, hellen wrote:
> > Hi,
> > I have a data with three variables (X,Y,Z) and I have an equation as
> > Z=X/(1+L*X/Y) where L is a constant which need to be estimated from data.
> > How should I write the formula in lm or is it possible to fit a linear
> > model in this case?
>
> Neither, it is nonlinear in the parameters. See ?nls or ?optim, for example.
Well, if the Z values are not too small, you can linearize it as
U = (X Y - Y Z) / Z = L X
and solve it with lm(U ~ X - 1), that is without absolute term.
> Uwe Ligges
>
> >
> > Thanks!
> > Hallen
> >
>
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