Suppose you wish to know whether Age and Family Size are jointly significant in the model $\text { Cigarettes Per Day } = \beta _ { 0 } + \beta _ { 1 } \text { Age } + \beta _ { 2 } \text { Family Size } + \beta _ { 3 } \text { Years of Education. }$
The appropriate null hypothesis for this test is

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. }

The appropriate null hypothesis for this test is

Quizplus · Accepted Answer

The null hypothesis for testing whether Age and Family Size are jointly significant in the model is that both coefficients for Age (β1) and Family Size (β2) are equal to zero, which is option B. This means we are testing if removing these variables significantly reduces the model's explanatory power.

Suppose You Wish to Know Whether Age and Family Size