Statistics Graduate Level Quiz
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LINEAR MODELS AND GLMS
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A regression model is written as Y=β01+β1x1+β2x2+ε,Y=\beta_0\mathbf 1+\beta_1x_1+\beta_2x_2+\varepsilon, but the observed design columns satisfy x2=2x1x_2=2x_1 exactly. Which slope functional can be tested using a generalized inverse in a way that is invariant to the particular least-squares solution selected?
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