.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/linear_model/plot_ols_3d.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        Click :ref:`here <sphx_glr_download_auto_examples_linear_model_plot_ols_3d.py>`
        to download the full example code or to run this example in your browser via Binder

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

.. _sphx_glr_auto_examples_linear_model_plot_ols_3d.py:


=========================================================
Sparsity Example: Fitting only features 1  and 2
=========================================================

Features 1 and 2 of the diabetes-dataset are fitted and
plotted below. It illustrates that although feature 2
has a strong coefficient on the full model, it does not
give us much regarding `y` when compared to just feature 1

.. GENERATED FROM PYTHON SOURCE LINES 15-76



.. rst-class:: sphx-glr-horizontal


    *

      .. image:: /auto_examples/linear_model/images/sphx_glr_plot_ols_3d_001.png
          :alt: plot ols 3d
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/linear_model/images/sphx_glr_plot_ols_3d_002.png
          :alt: plot ols 3d
          :class: sphx-glr-multi-img

    *

      .. image:: /auto_examples/linear_model/images/sphx_glr_plot_ols_3d_003.png
          :alt: plot ols 3d
          :class: sphx-glr-multi-img





.. code-block:: default

    print(__doc__)


    # Code source: Gaël Varoquaux
    # Modified for documentation by Jaques Grobler
    # License: BSD 3 clause

    import matplotlib.pyplot as plt
    import numpy as np
    from mpl_toolkits.mplot3d import Axes3D

    from sklearn import datasets, linear_model

    X, y = datasets.load_diabetes(return_X_y=True)
    indices = (0, 1)

    X_train = X[:-20, indices]
    X_test = X[-20:, indices]
    y_train = y[:-20]
    y_test = y[-20:]

    ols = linear_model.LinearRegression()
    ols.fit(X_train, y_train)


    # #############################################################################
    # Plot the figure
    def plot_figs(fig_num, elev, azim, X_train, clf):
        fig = plt.figure(fig_num, figsize=(4, 3))
        plt.clf()
        ax = Axes3D(fig, elev=elev, azim=azim)

        ax.scatter(X_train[:, 0], X_train[:, 1], y_train, c='k', marker='+')
        ax.plot_surface(np.array([[-.1, -.1], [.15, .15]]),
                        np.array([[-.1, .15], [-.1, .15]]),
                        clf.predict(np.array([[-.1, -.1, .15, .15],
                                              [-.1, .15, -.1, .15]]).T
                                    ).reshape((2, 2)),
                        alpha=.5)
        ax.set_xlabel('X_1')
        ax.set_ylabel('X_2')
        ax.set_zlabel('Y')
        ax.w_xaxis.set_ticklabels([])
        ax.w_yaxis.set_ticklabels([])
        ax.w_zaxis.set_ticklabels([])


    # Generate the three different figures from different views
    elev = 43.5
    azim = -110
    plot_figs(1, elev, azim, X_train, ols)

    elev = -.5
    azim = 0
    plot_figs(2, elev, azim, X_train, ols)

    elev = -.5
    azim = 90
    plot_figs(3, elev, azim, X_train, ols)

    plt.show()


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

   **Total running time of the script:** ( 0 minutes  0.308 seconds)


.. _sphx_glr_download_auto_examples_linear_model_plot_ols_3d.py:


.. only :: html

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


  .. container:: binder-badge

    .. image:: images/binder_badge_logo.svg
      :target: https://mybinder.org/v2/gh/scikit-learn/scikit-learn/0.24.X?urlpath=lab/tree/notebooks/auto_examples/linear_model/plot_ols_3d.ipynb
      :alt: Launch binder
      :width: 150 px


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

     :download:`Download Python source code: plot_ols_3d.py <plot_ols_3d.py>`



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

     :download:`Download Jupyter notebook: plot_ols_3d.ipynb <plot_ols_3d.ipynb>`


.. only:: html

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

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