R help - Dec 2003 - Bivariate linear regression

I have measurements with uncorrelated uncertainties on both axes. I 
would like to get the uncertainties on the intercept and the slope of 
the weighted linear regression model taking into account the 
uncertainties of the measurements. Is these any way to do that in R?
Thanks- Nicolas

On Thu, 11 Dec 2003, dauphasuser wrote:
> I have measurements with uncorrelated uncertainties on both axes. I 
> would like to get the uncertainties on the intercept and the slope of 
> the weighted linear regression model taking into account the 
> uncertainties of the measurements. Is these any way to do that in R?
Yes, but

- this is not bivariate linear regression and
- either weighted linear regression is biased.

Perhaps the best approach is to fit a functional relationship model. I
would need to know a bit more -- you say `weighted' so do the standard
errors (`uncertainties') vary by point, for example?

Perhaps rather than (mis)use terminology you could explain in 
non-technical language the problem you are trying to solve?

-- 
Brian D. Ripley,                  ripley at stats.ox.ac.uk
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
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