An exploratory method for dealing with interactions is to assume the model Y 0 1X1 2X2 3X1X2 e is true and use a partial residual plot to check the adequacy of the third term (3X1X2) assuming that Y has a linear association between 1X1 and 2X2 Describe some reasons why this approach might be unsatisfactory

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Question: An exploratory method for dealing with interactions is to assume the model Y = 0 + 1X1 + 2X2 + 3X1X2 + e is true

An exploratory method for dealing with interactions is to assume the model Y = β0 + β1X1 + β2X2 + β3X1X2 + e is true and use a partial residual plot to check the adequacy of the third term (β3X1X2) assuming that Y has a linear association between β1X1 and β2X2. Describe some reasons why this approach might be unsatisfactory.

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