Suppose you wish to know whether Age and Family Size are jointly significant in the model $\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Family Size } + \beta _ { 3 } \text { Years of Education } + \varepsilon \text {. }$
The Restricted Model for testing the joint significance of the two variables?

A)$\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Family Size } + \varepsilon ^ { * } \text {. }$

B) $\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Years of Education } + \varepsilon ^ { * }$

C)$\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Years of Education } + \varepsilon ^ { * } \text {. }$

D)None of the above.

Question

Suppose you wish to know whether Age and Family Size are jointly significant in the model $\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Family Size } + \beta _ { 3 } \text { Years of Education } + \varepsilon \text {. }$
The Restricted Model for testing the joint significance of the two variables?

A)$\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Family Size } + \varepsilon ^ { * } \text {. }$

B) $\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Years of Education } + \varepsilon ^ { * }$

C)$\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Years of Education } + \varepsilon ^ { * } \text {. }$

D)None of the above.

Quizplus · Accepted Answer

To test the joint significance of Age and Family Size, the restricted model should exclude these variables, leaving only the intercept and the control variable (Years of Education) in the model. Option C does this by excluding both Age and Family Size.

Suppose You Wish to Know Whether Age and Family Size