Converting Numpy Lstsq residual value to R^2

Posted by whatnick on Stack Overflow See other posts from Stack Overflow or by whatnick
Published on 2010-06-16T14:27:37Z Indexed on 2010/06/16 23:22 UTC
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I am performing a least squares regression as below (univariate). I would like to express the significance of the result in terms of R^2. Numpy returns a value of unscaled residual, what would be a sensible way of normalizing this.

field_clean,back_clean = rid_zeros(backscatter,field_data)
num_vals = len(field_clean)
x = field_clean[:,row:row+1]
y = 10*log10(back_clean)

A = hstack([x, ones((num_vals,1))])
soln = lstsq(A, y )
m, c =  soln [0]
residues = soln [1]

print residues

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