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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Consider the Polynomial Regression Model of Degree Yi = β0