An elections officer wants to model voter turnout (y) in a precinct as a function of type of election, national or state.

Write a model for mean voter turnout, E(y), as a function of type of election.
A) $E ( y ) = \beta _ { 0 } + \beta 1 ^ { x }$, where $x = 1$ if national, 0 if state
B) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x$, where $x =$ voter turnout
C) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$, where $x _ { 1 } = 1$ if national, 0 if not and $x _ { 2 } = 1$ if state, 0 if not
D) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$, where $x =$ voter turnout

Question

An elections officer wants to model voter turnout (y) in a precinct as a function of type of election, national or state.

Write a model for mean voter turnout, E(y), as a function of type of election. 
A) $E ( y ) = \beta _ { 0 } + \beta 1 ^ { x }$, where $x = 1$ if national, 0 if state
B) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x$, where $x =$ voter turnout
C) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$, where $x _ { 1 } = 1$ if national, 0 if not and $x _ { 2 } = 1$ if state, 0 if not
D) $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x + \beta _ { 2 } x ^ { 2 }$, where $x =$ voter turnout

Quizplus · Accepted Answer

The correct model is E(y) = β0 + β1x, where x = 1 if national, 0 if state. This model captures the effect of the type of election on voter turnout, with β1 representing the difference in mean voter turnout between national and state elections.

An Elections Officer Wants to Model Voter Turnout (Y) in a Precinct