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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math3.stat.regression;
+
+/**
+ * The multiple linear regression can be represented in matrix-notation.
+ * <pre>
+ *  y=X*b+u
+ * </pre>
+ * where y is an <code>n-vector</code> <b>regressand</b>, X is a <code>[n,k]</code> matrix whose <code>k</code> columns are called
+ * <b>regressors</b>, b is <code>k-vector</code> of <b>regression parameters</b> and <code>u</code> is an <code>n-vector</code>
+ * of <b>error terms</b> or <b>residuals</b>.
+ *
+ * The notation is quite standard in literature,
+ * cf eg <a href="http://www.econ.queensu.ca/ETM">Davidson and MacKinnon, Econometrics Theory and Methods, 2004</a>.
+ * @since 2.0
+ */
+public interface MultipleLinearRegression {
+
+    /**
+     * Estimates the regression parameters b.
+     *
+     * @return The [k,1] array representing b
+     */
+    double[] estimateRegressionParameters();
+
+    /**
+     * Estimates the variance of the regression parameters, ie Var(b).
+     *
+     * @return The [k,k] array representing the variance of b
+     */
+    double[][] estimateRegressionParametersVariance();
+
+    /**
+     * Estimates the residuals, ie u = y - X*b.
+     *
+     * @return The [n,1] array representing the residuals
+     */
+    double[] estimateResiduals();
+
+    /**
+     * Returns the variance of the regressand, ie Var(y).
+     *
+     * @return The double representing the variance of y
+     */
+    double estimateRegressandVariance();
+
+    /**
+     * Returns the standard errors of the regression parameters.
+     *
+     * @return standard errors of estimated regression parameters
+     */
+     double[] estimateRegressionParametersStandardErrors();
+
+}