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Which of the following is not a valid reason to pick a

Suppose we are trying to model Y as a polynomial of X. Which of the following is NOT a valid reason to pick a fourth-order polynomial over a third-order polynomial?

A The adjusted-R² is higher in the fourth-order polynomial model.

B We believe a model with a fourth-order polynomial in X captures the theoretical relationship between Y and X.

C The coefficient on X⁴ is statistically significant.

D The R² is higher in the fourth-order polynomial model.

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