`scipy.odr._models:polynomial`

source: /scipy/odr/_models.py :122

Signature

def polynomial ( order )

Summary

Factory function for a general polynomial model.

Extended Summary

Parameters

order : int or sequence: If an integer, it becomes the order of the polynomial to fit. If a sequence of numbers, then these are the explicit powers in the polynomial. A constant term (power 0) is always included, so don't include 0. Thus, polynomial(n) is equivalent to polynomial(range(1, n+1)).

Returns

polynomial : Model instance: Model instance.

Examples

We can fit an input data using orthogonal distance regression (ODR) with a polynomial model:

import numpy as np
import matplotlib.pyplot as plt
from scipy import odr
x = np.linspace(0.0, 5.0)
y = np.sin(x)
poly_model = odr.polynomial(3)  # using third order polynomial model
data = odr.Data(x, y)
odr_obj = odr.ODR(data, poly_model)
output = odr_obj.run()  # running ODR fitting
poly = np.poly1d(output.beta[::-1])
poly_y = poly(x)

✓

plt.plot(x, y, label="input data")
plt.plot(x, poly_y, label="polynomial ODR")
plt.legend()

✗

plt.show()

✓

Aliases

scipy.odr.polynomial