You'll first need to separate your numpy array into two separate arrays containing x and y values.
x = [1, 2, 3, 9]
y = [1, 4, 1, 3]
curve_fit also requires a function that provides the type of fit you would like. For instance, a linear fit would use a function like
def func(x, a, b):
return a*x + b
scipy.optimize.curve_fit(func, x, y) will return a numpy array containing two arrays: the first will contain values for a and b that best fit your data, and the second will be the covariance of the optimal fit parameters.
Here's an example for a linear fit with the data you provided.
import numpy as np
from scipy.optimize import curve_fit
x = np.array([1, 2, 3, 9])
y = np.array([1, 4, 1, 3])
def fit_func(x, a, b):
return a*x + b
params = curve_fit(fit_func, x, y)
[a, b] = params[0]
This code will return a = 0.135483870968 and b = 1.74193548387
Here's a plot with your points and the linear fit... which is clearly a bad one, but you can change the fitting function to obtain whatever type of fit you would like.
