Question

QUESTION 6 In the regression model $Y_i = \beta_0 + \beta_1X_i + \beta_2D_i + \beta_3(X_i \times D_i) + u_i$, where X is a continuous variable and D is a binary variable, to test that the two regressions are identical, you must use the: $F$-statistic for the joint hypothesis that $\beta_2 = 0$, $\beta_3 = 0$. $t$-statistic separately for $\beta_3 = 0$. $F$-statistic for the joint hypothesis that $\beta_0 = 0$, $\beta_1 = 0$. $t$-statistic separately for $\beta_2 = 0$, $\beta_2 = 0$.

          QUESTION 6
In the regression model $Y_i = \beta_0 + \beta_1X_i + \beta_2D_i + \beta_3(X_i \times D_i) + u_i$, where X is a continuous variable and D is a binary variable, to test that the two
regressions are identical, you must use the:
$F$-statistic for the joint hypothesis that $\beta_2 = 0$, $\beta_3 = 0$.
$t$-statistic separately for $\beta_3 = 0$.
$F$-statistic for the joint hypothesis that $\beta_0 = 0$, $\beta_1 = 0$.
$t$-statistic separately for $\beta_2 = 0$, $\beta_2 = 0$.

QUESTION 6
In the regression model Yi = β0 + β1Xi + β2Di + β3(Xi × Di) + ui, where X is a continuous variable and D is a binary variable, to test that the two
regressions are identical, you must use the:
F-statistic for the joint hypothesis that β2 = 0, β3 = 0.
t-statistic separately for β3 = 0.
F-statistic for the joint hypothesis that β0 = 0, β1 = 0.
t-statistic separately for β2 = 0, β2 = 0.

Added by Robert M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Tavis Lam

02/07/2024

Step 1

Step 1: To test if the two regressions are identical, we need to test if the coefficients of the interaction term and the dummy variable are equal to zero. Show more…

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QUESTION 6 In the regression model Y₁ = ẞ0 + B1Xj+B2Di + B3(Xjx Dj) + uj, where X is a continuous variable and D is a binary variable, to test that the two regressions are identical, you must use the: OF-statistic for the joint hypothesis that ẞ2 = 0, β3=0. Ot-statistic separately for ẞ3 = 0. OF-statistic for the joint hypothesis that ẞ0 = 0, β₁ = 0. Ot-statistic separately for B2 = 0, β2 = 0. 7.5 points