$$ \mathbf{Y}m = \beta{m0} + \mathbf{X}_m \mathbf{B}_m $$
$$ \mathbf{B}_1 = \mathbf{B}_2 = ... = \mathbf{B}_m $$
\begin{align} y_i &= \beta_{10} + \beta_{11}x_{i1} + \beta_{12}x_{i2} + \beta_{1i} \cr y_i &= \beta_{20} + \beta_{21}x_{i1} + \beta_{22}x_{i2} + \beta_{2i} \cr y_i &= \beta_{30} + \beta_{31}x_{i1} + \beta_{32}x_{i2} + \beta_{3i} \end{align}
$H_0: \beta_{11} = \beta_{21} = \beta_{31}$
$x_1$
$x_2$
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