Question: Analternativeparameterizationofthebivariateregressionmodelcenters x around itsmean and expressesthemodelas E(Y ) = 0 + 1(x x). (a) Forthisparameterization,explainhowtointerpret 0. Howdoesthisdifferfromthe interpretationforthemodelwithoutcentering? (b) Ifyoureplace x in thisexpressionby x0

Analternativeparameterizationofthebivariateregressionmodelcenters x around itsmean and expressesthemodelas E(Y ) = β0 + β1(x − μx).

(a) Forthisparameterization,explainhowtointerpret β0. Howdoesthisdifferfromthe interpretationforthemodelwithoutcentering?

(b) Ifyoureplace μx in thisexpressionby x0 = min({xi}), howdoyouinterpret β0?

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