So first off no, this isn't a homework problem. Second, I'm trying to understand how this works, NOT find a program that will do it for me.
Okay so I've known for a while how to use Gaussian-Jordan Elimination to interpolate a polynomial. Recently I came across this article, which explains how to use multiple linear regression to fit a polynomial
Similarly I also learned how to interpolate for Rational Polynomials. So now I'm trying to figure out how to fit a rational function to a set of data. Specifically, I'm trying to understand how to setup the Matrix so that I can use Gaussian-Jordan elimination to find the coefficients.
Because I know interpolation and regression are similar (and in case it wasn't clear from my question), when I refer to interpolation, I mean only having just enough points to solve for the variables. When I say regression, I mean you have more that enough points, and you're trying to find a function that adequately fits all of them
Thanks for any help you can provide.