Consider the Polynomial Regression Model of Degree Y_i = ?₀ $x _ { i } ^ { 2 }$

Multiple Choice

Consider the polynomial regression model of degree Y_i = ?₀ + ?₁X_i + ?₂ $x _ { i } ^ { 2 }$ + ...+ ?_r
$x _ { i } ^ { r }$ + u_i. According to the null hypothesis that the regression is linear and the alternative that is a polynomial of degree r corresponds to

A) H₀: ?_r = 0 vs. ?_r ? 0
B) H₀: ?_r = 0 vs. ?₁ ? 0
C) H₀: ?₃ = 0, ..., ?_r = 0, vs. H₁: all ?_j ? 0, j = 3, ..., r
D) H₀: ?₂ = 0, ?₃ = 0 ..., ?_r = 0, vs. H₁: at least one ?_j ? 0, j = 2, ..., r