Question: Tosummarizetheinteractionbetweenquantitative x and binary z, supposewecenter x at its mean andexpressthemodelas E(Y ) = 0 + 1(x x) + 2z + 3(x x)

Tosummarizetheinteractionbetweenquantitative x and binary z, supposewecenter x at its mean andexpressthemodelas E(Y ) = β0 + β1(x − μx) + β2z + β3(x − μx) × z.

Explain howtointerpret β2. Howdoesthisdifferfromtheinterpretationforthemodelwithout centering?

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