.. note::
    :class: sphx-glr-download-link-note

    Click :ref:`here <sphx_glr_download_intro_numpy_auto_examples_plot_chebyfit.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_intro_numpy_auto_examples_plot_chebyfit.py:


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

Plot noisy data and their polynomial fit in a Chebyshev basis





.. image:: /intro/numpy/auto_examples/images/sphx_glr_plot_chebyfit_001.png
    :class: sphx-glr-single-img





.. code-block:: python

    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)

    plt.plot(x, y, 'r.')   
    plt.plot(x, p(x), 'k-', lw=3)
    plt.show()

**Total running time of the script:** ( 0 minutes  0.020 seconds)


.. _sphx_glr_download_intro_numpy_auto_examples_plot_chebyfit.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_chebyfit.py <plot_chebyfit.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_chebyfit.ipynb <plot_chebyfit.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_