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Hypothesis tests with the general linear model can be made in two ways: [[multivariate statistics|multivariate]] or as several independent [[univariate]] tests. In multivariate tests the columns of '''Y''' are tested together, whereas in univariate tests the columns of '''Y''' are tested independently, i.e., as multiple univariate tests with the same design matrix.
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Multiple linear regression is a generalization of [[simple linear regression]] to the case of more than one independent variable, and a [[special case]] of general linear models, restricted to one dependent variable. The basic model for multiple linear regression is
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