Next message: Herbert Prinz: "Re: Resume of "Averaging""
Alexandre Eremenko wrote:
> Just do it. You want to find the line y=ax+b of the best fit
> say from 3 observations
> (x_1,y_1), (x_2,y_2), (x_3,y_3).
I want nothing of the sort. As I said, my equation M * x = a refers to any
system of linear equations. In the problem in hand, these represent LOPs
and the solution of the system is the FIX. I said it is wrong to go the
roundabout way via an intermediate set of best fitted lines (be they
straight or otherwise). But I said that several times already.
> Just do the "least square procedure" as you described, and find a and b.
> Then compute the averages x=(x_1+x_2+x_2)/3
> and y=(y_1+y_2+y_3)/3.And then plug the averages to the equation y=ax+b.
> If you do all your computations correctly, you will see that they fit:-)
> So the "method" you propose, in the case of a linear function,
> gives EXACTLY the same answer as simple averaging.
Have you actually looked at the algorithm in the N.A.? Have you looked at
the articles in the Navigation Journal? That's what I am proposing. How can
you believe that I want to solve a linear regression, when I said in several
messages to its proponents that this is the wrong way to go about it?
Herbert Prinz
