How can you increase the degree of the polynomial for multivariate 
LinearRegression?
Numpy.polyfit has a "deg" parameter, allowing you to choose the degree 
of the fitting polynomial, but doesn't work with multivariate data:
http://docs.scipy.org/doc/numpy/reference/generated/numpy.polyfit.html

For example, a 2nd degree polynomial fit would have the following 
regression equation:
y = intercept  + (b*x1 +b* x1^2) + (b*x2 + b*x2^2) + (b*x3 + b*x3^2)

The following only does 1st degree polynomial fit:

clf = linear_model.LinearRegression()
clf.fit(x,y)
regress_coefs = clf.coef_
regress_intercept = clf.intercept_

So how can you do higher degree polynomial fits? This should allow me to 
getting a better fitting curve to get a prediction/regression formula 
for my machine learning project.

Thanks,

Zach

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