I have 50 or so training examples involving a set of 200 or so real numbers (x1,x2,...,x200) (normalized to a 0 mean and std dev 1), and a single output real (y) in the range 0.0..1.0. I want to fit a linear model as follows:
y = w0 + w1 * x1 + w2 * x2 + ... + w200 * x200
So I need to calculate (w0,w1,w2,...,w200) based on the training examples. By what formula or algorithm should I calculate these weights?