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<main class="col-12 col-md-9 col-xl-7 py-md-5 pl-md-5 pr-md-4 bd-content" role="main">
<div>
<div class="section" id="linearregressionsummary">
<h1>LinearRegressionSummary<a class="headerlink" href="#linearregressionsummary" title="Permalink to this headline"></a></h1>
<dl class="py class">
<dt id="pyspark.ml.regression.LinearRegressionSummary">
<em class="property">class </em><code class="sig-prename descclassname">pyspark.ml.regression.</code><code class="sig-name descname">LinearRegressionSummary</code><span class="sig-paren">(</span><em class="sig-param"><span class="n">java_obj</span><span class="p">:</span> <span class="n">Optional<span class="p">[</span>JavaObject<span class="p">]</span></span> <span class="o">=</span> <span class="default_value">None</span></em><span class="sig-paren">)</span><a class="reference internal" href="../../_modules/pyspark/ml/regression.html#LinearRegressionSummary"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary" title="Permalink to this definition"></a></dt>
<dd><p>Linear regression results evaluated on a dataset.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
<p class="rubric">Attributes</p>
<table class="longtable table autosummary">
<colgroup>
<col style="width: 10%" />
<col style="width: 90%" />
</colgroup>
<tbody>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.coefficientStandardErrors" title="pyspark.ml.regression.LinearRegressionSummary.coefficientStandardErrors"><code class="xref py py-obj docutils literal notranslate"><span class="pre">coefficientStandardErrors</span></code></a></p></td>
<td><p>Standard error of estimated coefficients and intercept.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.degreesOfFreedom" title="pyspark.ml.regression.LinearRegressionSummary.degreesOfFreedom"><code class="xref py py-obj docutils literal notranslate"><span class="pre">degreesOfFreedom</span></code></a></p></td>
<td><p>Degrees of freedom.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.devianceResiduals" title="pyspark.ml.regression.LinearRegressionSummary.devianceResiduals"><code class="xref py py-obj docutils literal notranslate"><span class="pre">devianceResiduals</span></code></a></p></td>
<td><p>The weighted residuals, the usual residuals rescaled by the square root of the instance weights.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.explainedVariance" title="pyspark.ml.regression.LinearRegressionSummary.explainedVariance"><code class="xref py py-obj docutils literal notranslate"><span class="pre">explainedVariance</span></code></a></p></td>
<td><p>Returns the explained variance regression score.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.featuresCol" title="pyspark.ml.regression.LinearRegressionSummary.featuresCol"><code class="xref py py-obj docutils literal notranslate"><span class="pre">featuresCol</span></code></a></p></td>
<td><p>Field in “predictions” which gives the features of each instance as a vector.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.labelCol" title="pyspark.ml.regression.LinearRegressionSummary.labelCol"><code class="xref py py-obj docutils literal notranslate"><span class="pre">labelCol</span></code></a></p></td>
<td><p>Field in “predictions” which gives the true label of each instance.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.meanAbsoluteError" title="pyspark.ml.regression.LinearRegressionSummary.meanAbsoluteError"><code class="xref py py-obj docutils literal notranslate"><span class="pre">meanAbsoluteError</span></code></a></p></td>
<td><p>Returns the mean absolute error, which is a risk function corresponding to the expected value of the absolute error loss or l1-norm loss.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.meanSquaredError" title="pyspark.ml.regression.LinearRegressionSummary.meanSquaredError"><code class="xref py py-obj docutils literal notranslate"><span class="pre">meanSquaredError</span></code></a></p></td>
<td><p>Returns the mean squared error, which is a risk function corresponding to the expected value of the squared error loss or quadratic loss.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.numInstances" title="pyspark.ml.regression.LinearRegressionSummary.numInstances"><code class="xref py py-obj docutils literal notranslate"><span class="pre">numInstances</span></code></a></p></td>
<td><p>Number of instances in DataFrame predictions</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.pValues" title="pyspark.ml.regression.LinearRegressionSummary.pValues"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pValues</span></code></a></p></td>
<td><p>Two-sided p-value of estimated coefficients and intercept.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.predictionCol" title="pyspark.ml.regression.LinearRegressionSummary.predictionCol"><code class="xref py py-obj docutils literal notranslate"><span class="pre">predictionCol</span></code></a></p></td>
<td><p>Field in “predictions” which gives the predicted value of the label at each instance.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.predictions" title="pyspark.ml.regression.LinearRegressionSummary.predictions"><code class="xref py py-obj docutils literal notranslate"><span class="pre">predictions</span></code></a></p></td>
<td><p>Dataframe outputted by the model’s <cite>transform</cite> method.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.r2" title="pyspark.ml.regression.LinearRegressionSummary.r2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">r2</span></code></a></p></td>
<td><p>Returns R^2, the coefficient of determination.</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.r2adj" title="pyspark.ml.regression.LinearRegressionSummary.r2adj"><code class="xref py py-obj docutils literal notranslate"><span class="pre">r2adj</span></code></a></p></td>
<td><p>Returns Adjusted R^2, the adjusted coefficient of determination.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.residuals" title="pyspark.ml.regression.LinearRegressionSummary.residuals"><code class="xref py py-obj docutils literal notranslate"><span class="pre">residuals</span></code></a></p></td>
<td><p>Residuals (label - predicted value)</p></td>
</tr>
<tr class="row-even"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.rootMeanSquaredError" title="pyspark.ml.regression.LinearRegressionSummary.rootMeanSquaredError"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rootMeanSquaredError</span></code></a></p></td>
<td><p>Returns the root mean squared error, which is defined as the square root of the mean squared error.</p></td>
</tr>
<tr class="row-odd"><td><p><a class="reference internal" href="#pyspark.ml.regression.LinearRegressionSummary.tValues" title="pyspark.ml.regression.LinearRegressionSummary.tValues"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tValues</span></code></a></p></td>
<td><p>T-statistic of estimated coefficients and intercept.</p></td>
</tr>
</tbody>
</table>
<p class="rubric">Attributes Documentation</p>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.coefficientStandardErrors">
<code class="sig-name descname">coefficientStandardErrors</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.coefficientStandardErrors" title="Permalink to this definition"></a></dt>
<dd><p>Standard error of estimated coefficients and intercept.
This value is only available when using the “normal” solver.</p>
<p>If <a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.fitIntercept" title="pyspark.ml.regression.LinearRegression.fitIntercept"><code class="xref py py-attr docutils literal notranslate"><span class="pre">LinearRegression.fitIntercept</span></code></a> is set to True,
then the last element returned corresponds to the intercept.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<dl class="simple">
<dt><a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.solver" title="pyspark.ml.regression.LinearRegression.solver"><code class="xref py py-obj docutils literal notranslate"><span class="pre">LinearRegression.solver</span></code></a></dt><dd></dd>
</dl>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.degreesOfFreedom">
<code class="sig-name descname">degreesOfFreedom</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.degreesOfFreedom" title="Permalink to this definition"></a></dt>
<dd><p>Degrees of freedom.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.2.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.devianceResiduals">
<code class="sig-name descname">devianceResiduals</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.devianceResiduals" title="Permalink to this definition"></a></dt>
<dd><p>The weighted residuals, the usual residuals rescaled by the
square root of the instance weights.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.explainedVariance">
<code class="sig-name descname">explainedVariance</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.explainedVariance" title="Permalink to this definition"></a></dt>
<dd><p>Returns the explained variance regression score.
explainedVariance = <span class="math notranslate nohighlight">\(1 - \frac{variance(y - \hat{y})}{variance(y)}\)</span></p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark
versions.</p>
<p>For additional information see
<a class="reference external" href="http://en.wikipedia.org/wiki/Explained_variation">Explained variation on Wikipedia </a></p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.featuresCol">
<code class="sig-name descname">featuresCol</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.featuresCol" title="Permalink to this definition"></a></dt>
<dd><p>Field in “predictions” which gives the features of each instance
as a vector.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.labelCol">
<code class="sig-name descname">labelCol</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.labelCol" title="Permalink to this definition"></a></dt>
<dd><p>Field in “predictions” which gives the true label of each
instance.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.meanAbsoluteError">
<code class="sig-name descname">meanAbsoluteError</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.meanAbsoluteError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the mean absolute error, which is a risk function
corresponding to the expected value of the absolute error
loss or l1-norm loss.</p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark
versions.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.meanSquaredError">
<code class="sig-name descname">meanSquaredError</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.meanSquaredError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the mean squared error, which is a risk function
corresponding to the expected value of the squared error
loss or quadratic loss.</p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark
versions.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.numInstances">
<code class="sig-name descname">numInstances</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.numInstances" title="Permalink to this definition"></a></dt>
<dd><p>Number of instances in DataFrame predictions</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.pValues">
<code class="sig-name descname">pValues</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.pValues" title="Permalink to this definition"></a></dt>
<dd><p>Two-sided p-value of estimated coefficients and intercept.
This value is only available when using the “normal” solver.</p>
<p>If <a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.fitIntercept" title="pyspark.ml.regression.LinearRegression.fitIntercept"><code class="xref py py-attr docutils literal notranslate"><span class="pre">LinearRegression.fitIntercept</span></code></a> is set to True,
then the last element returned corresponds to the intercept.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<dl class="simple">
<dt><a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.solver" title="pyspark.ml.regression.LinearRegression.solver"><code class="xref py py-obj docutils literal notranslate"><span class="pre">LinearRegression.solver</span></code></a></dt><dd></dd>
</dl>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.predictionCol">
<code class="sig-name descname">predictionCol</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.predictionCol" title="Permalink to this definition"></a></dt>
<dd><p>Field in “predictions” which gives the predicted value of
the label at each instance.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.predictions">
<code class="sig-name descname">predictions</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.predictions" title="Permalink to this definition"></a></dt>
<dd><p>Dataframe outputted by the model’s <cite>transform</cite> method.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.r2">
<code class="sig-name descname">r2</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.r2" title="Permalink to this definition"></a></dt>
<dd><p>Returns R^2, the coefficient of determination.</p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark
versions.</p>
<p>See also <a class="reference external" href="http://en.wikipedia.org/wiki/Coefficient_of_determination">Wikipedia coefficient of determination</a></p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.r2adj">
<code class="sig-name descname">r2adj</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.r2adj" title="Permalink to this definition"></a></dt>
<dd><p>Returns Adjusted R^2, the adjusted coefficient of determination.</p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark versions.</p>
<p><a class="reference external" href="https://en.wikipedia.org/wiki/Coefficient_of_determination#Adjusted_R2">Wikipedia coefficient of determination, Adjusted R^2</a></p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.4.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.residuals">
<code class="sig-name descname">residuals</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.residuals" title="Permalink to this definition"></a></dt>
<dd><p>Residuals (label - predicted value)</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.rootMeanSquaredError">
<code class="sig-name descname">rootMeanSquaredError</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.rootMeanSquaredError" title="Permalink to this definition"></a></dt>
<dd><p>Returns the root mean squared error, which is defined as the
square root of the mean squared error.</p>
<p class="rubric">Notes</p>
<p>This ignores instance weights (setting all to 1.0) from
<cite>LinearRegression.weightCol</cite>. This will change in later Spark
versions.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
</dd></dl>
<dl class="py attribute">
<dt id="pyspark.ml.regression.LinearRegressionSummary.tValues">
<code class="sig-name descname">tValues</code><a class="headerlink" href="#pyspark.ml.regression.LinearRegressionSummary.tValues" title="Permalink to this definition"></a></dt>
<dd><p>T-statistic of estimated coefficients and intercept.
This value is only available when using the “normal” solver.</p>
<p>If <a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.fitIntercept" title="pyspark.ml.regression.LinearRegression.fitIntercept"><code class="xref py py-attr docutils literal notranslate"><span class="pre">LinearRegression.fitIntercept</span></code></a> is set to True,
then the last element returned corresponds to the intercept.</p>
<div class="versionadded">
<p><span class="versionmodified added">New in version 2.0.0.</span></p>
</div>
<div class="admonition seealso">
<p class="admonition-title">See also</p>
<dl class="simple">
<dt><a class="reference internal" href="pyspark.ml.regression.LinearRegression.html#pyspark.ml.regression.LinearRegression.solver" title="pyspark.ml.regression.LinearRegression.solver"><code class="xref py py-obj docutils literal notranslate"><span class="pre">LinearRegression.solver</span></code></a></dt><dd></dd>
</dl>
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