.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "intro/numpy/auto_examples/plot_chebyfit.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <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

.. GENERATED FROM PYTHON SOURCE LINES 8-21



.. image-sg:: /intro/numpy/auto_examples/images/sphx_glr_plot_chebyfit_001.png
   :alt: plot chebyfit
   :srcset: /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

    rng = np.random.default_rng(27446968)

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

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


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.087 seconds)


.. _sphx_glr_download_intro_numpy_auto_examples_plot_chebyfit.py:

.. only:: html

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

    .. container:: sphx-glr-download sphx-glr-download-jupyter

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

    .. container:: sphx-glr-download sphx-glr-download-python

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

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_chebyfit.zip <plot_chebyfit.zip>`


.. only:: html

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

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