When Testing the Utility of the Quadratic Model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$

True/False

When testing the utility of the quadratic model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$ , the most important tests involve the null hypotheses $H _ { 0 } : \beta 0 = 0$ and $H _ { 0 } : \beta _ { 1 } = 0$ .