.. _sphx_glr_auto_surrogate_modeling_linear_regression:

.. _Linear regression:

Linear regression
-----------------



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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Export a metamodel">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_export_metamodel_thumb.png
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_export_metamodel.py`

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      <div class="sphx-glr-thumbnail-title">Export a metamodel</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a linear least squares model">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_create_linear_least_squares_model_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_create_linear_least_squares_model.py`

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      <div class="sphx-glr-thumbnail-title">Create a linear least squares model</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Create a general linear model metamodel">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_gaussian_process_fitter_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_gaussian_process_fitter.py`

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      <div class="sphx-glr-thumbnail-title">Create a general linear model metamodel</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Taylor approximations">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_taylor_approximation_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_taylor_approximation.py`

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      <div class="sphx-glr-thumbnail-title">Taylor approximations</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Create a linear model">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_linear_model_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_linear_model.py`

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      <div class="sphx-glr-thumbnail-title">Create a linear model</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Mixture of experts">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_expert_mixture_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_expert_mixture.py`

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      <div class="sphx-glr-thumbnail-title">Mixture of experts</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We consider te so-called Linthurst data set, which contains measures of aerial biomass (BIO) as well as 5 five physicochemical properties of the soil: salinity (SAL), pH, K, Na, and Zn.">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_stepwise_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_stepwise.py`

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      <div class="sphx-glr-thumbnail-title">Perform stepwise regression</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Distribution of estimators in linear regression">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_distribution_linear_regression_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_distribution_linear_regression.py`

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      <div class="sphx-glr-thumbnail-title">Distribution of estimators in linear regression</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Over-fitting and model selection">

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  .. image:: /auto_surrogate_modeling/linear_regression/images/thumb/sphx_glr_plot_overfitting_model_selection_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_surrogate_modeling_linear_regression_plot_overfitting_model_selection.py`

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      <div class="sphx-glr-thumbnail-title">Over-fitting and model selection</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /auto_surrogate_modeling/linear_regression/plot_export_metamodel
   /auto_surrogate_modeling/linear_regression/plot_create_linear_least_squares_model
   /auto_surrogate_modeling/linear_regression/plot_gaussian_process_fitter
   /auto_surrogate_modeling/linear_regression/plot_taylor_approximation
   /auto_surrogate_modeling/linear_regression/plot_linear_model
   /auto_surrogate_modeling/linear_regression/plot_expert_mixture
   /auto_surrogate_modeling/linear_regression/plot_stepwise
   /auto_surrogate_modeling/linear_regression/plot_distribution_linear_regression
   /auto_surrogate_modeling/linear_regression/plot_overfitting_model_selection