Hi Dimitri,
I'm obviously missing something in my litterature  review. I did a new
MC simulation, with a much smaller number of observation points
(namely 3, to fit a straight line!!!). It turns out that the formula
you are advocating for is the best estimate of the standard deviation
of the parameters. Could you please explain why this fomula differs
from formulas (34) and (35) in
http://mathworld.wolfram.com/LeastSquaresFitting.html?

I hope I'm not bothering you too much. I really would like to
understand, so that we could write an accurate javadoc and possibly
rename the method appropriately.

Best regards,
Sébastien


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