[R] R-squared in lm

Jerome Goudet Jerome.Goudet at ie-zea.unil.ch
Fri May 3 10:07:54 CEST 2002


Dear all,

I'm puzzled by the definition of r-squared used by 'lm' when the model is 
without intercept.

The help for summary says:

>r.squared: R^2, the ``fraction of variance explained by the model'',
>
>               R^2 = 1 - Sum(R[i]^2) / Sum((y[i]- y*)^2),
>
>           where y* is the mean of y[i] if there is an intercept and
>           zero otherwise.



Why, when there is no intercept (when the intercept is set to 0), should 
the average values of the response be 0?

Many thanks for any enlightments!

Prof. Jerome GOUDET
Institut d'Ecologie, Bat. Biologie
Uni. Lausanne , CH-1015 Lausanne
Switzerland
Tel: +41 21 692 42 42    Fax: +41 21 692 42 65
Secr:+41 21 692 42 60

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