1. Suppose you want to understand the non-linear nature of the rela...

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1. Suppose you want to understand the non-linear nature of the relationship between Yi and Xi and you estimate a polynomial regression of order r of Yi on Xi: = + + BrX{ tei For each of the following comparison state: 1) what r you would choose for the estimation; 2) what are the null and alternative hypotheses; 3) what type of test you would use; 4) if you choose a Wald test, specify the hypotheses in terms of the matrices R and r; 5) the approximate distribution of the test statistic. a) Linear VS Quadratic Relation b) Linear VS Cubic Relation c) Cubic VS Quartic Relation d) Linear VS Quartic Relation

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