In the Regression Model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$

Multiple Choice

In the regression model $Y _ { i } = \beta _ { 0 } + \beta _ { 1 } X _ { i } + \beta _ { 2 } D _ { i } + \beta _ { 3 } \left( X _ { i } \times D _ { i } \right) + u _ { i }$
where X is a continuous
variable and D is a binary variable, to test that the two regressions are identical, you must use the

A) t -statistic separately for $\beta _ { 2 } = 0 , \beta _ { 3 } = 0$
B) F -statistic for the joint hypothesis that $\beta _ { 0 } = 0 , \beta _ { 1 } = 0$
C) t -statistic separately for $\beta _ { 3 } = 0$
D) F -statistic for the joint hypothesis that $\beta _ { 2 } = 0 , \beta _ { 3 } = 0$