Consider the Polynomial Regression Model of Degree Yi = β0

Multiple Choice

Consider the polynomial regression model of degree Yi = β0 + β1Xi + β2 + ...+ βr + ui.According to the null hypothesis that the regression is linear and the alternative that is a polynomial of degree r corresponds to

A) H0: βr = 0 vs.βr ≠ 0
B) H0: βr = 0 vs.β1 ≠ 0
C) H0: β3 = 0,... ,βr = 0,vs.H1: all βj ≠ 0,j = 3,... ,r
D) H0: β2 = 0,β3 = 0 ... ,βr = 0,vs.H1: at least one βj ≠ 0,j = 2,... ,r