Describe reasons why given approach might be unsatisfactory

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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.

Reference no: EM131398595

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