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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_curve_fitting.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_advanced_mathematical_optimization_auto_examples_plot_curve_fitting.py:


Curve fitting
=============

A curve fitting example

.. GENERATED FROM PYTHON SOURCE LINES 7-34



.. image-sg:: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_curve_fitting_001.png
   :alt: plot curve fitting
   :srcset: /advanced/mathematical_optimization/auto_examples/images/sphx_glr_plot_curve_fitting_001.png
   :class: sphx-glr-single-img





.. code-block:: default


    import numpy as np
    import scipy as sp
    import matplotlib.pyplot as plt

    np.random.seed(0)

    # Our test function
    def f(t, omega, phi):
        return np.cos(omega * t + phi)

    # Our x and y data
    x = np.linspace(0, 3, 50)
    y = f(x, 1.5, 1) + .1*np.random.normal(size=50)

    # Fit the model: the parameters omega and phi can be found in the
    # `params` vector
    params, params_cov = sp.optimize.curve_fit(f, x, y)

    # plot the data and the fitted curve
    t = np.linspace(0, 3, 1000)

    plt.figure(1)
    plt.clf()
    plt.plot(x, y, 'bx')
    plt.plot(t, f(t, *params), 'r-')
    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.054 seconds)


.. _sphx_glr_download_advanced_mathematical_optimization_auto_examples_plot_curve_fitting.py:

.. only:: html

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




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

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

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

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


.. only:: html

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

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