"""
Fitting in Chebyshev basis
==========================

Plot noisy data and their polynomial fit in a Chebyshev basis

"""
import numpy as np
import matplotlib.pyplot as plt

np.random.seed(0)

x = np.linspace(-1, 1, 2000)
y = np.cos(x) + 0.3*np.random.rand(2000)
p = np.polynomial.Chebyshev.fit(x, y, 90)

t = np.linspace(-1, 1, 200)
plt.plot(x, y, 'r.')   
plt.plot(t, p(t), 'k-', lw=3)   
plt.show()