SciPy: Generic fit function using polynoms

SciPy: Generic fit function using polynoms

I try to generate a generic fit polynom using SciPy's curve_fitmethod. My
current simplified code looks like the following:
import functools
import scipy.optimize
def __fit_polynom_order_6(self, data):
def func(x, c1=None, c2=None, c3=None, c4=None, c5=None, c6=None):
return c1*x + c2*x**2 + c3*x**3 + c4*x**4 + c5*x**5 + c6*x**6
x, y = data[:,0], data[:,1]
popt, pcov = scipy.optimize.curve_fit(func, x, y)
func_fit = functools.partial(func,
c1=popt[0],c2=popt[1],c3=popt[2],c4=popt[3],c5=popt[4],c6=popt[5])
return func_fit
Now I want also to do fits with polynoms of order n and thus generate a
generic function __fit_polynom_order_n(self, n, data) that generates the
polynom automatically and does essentially the same thing as my function
above but with arbitrary polynoms.
My attempts doing this all came to nothing. Can you help? Thanks in advance!