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

Question 84

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An elections officer wants to model voter turnout (y) in a precinct as a function of the type of precinct. Consider the model relating mean voter turnout, E(y), to precinct type: E(y)=β0+β1x1+β2x2, where x1=1 if urban, 0 if not x2=1 if suburban, 0 if not  (Base level = rural) E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } , \text { where } \quad \begin{array} { l } x _ { 1 } = 1 \text { if urban, } 0 \text { if not } \\x _ { 2 } = 1 \text { if suburban, } 0 \text { if not } \\\\\text { (Base level = rural) }\end{array}
Interpret the value of β2\beta _ { 2 } .
A) the difference between the mean voter turnout for suburban and rural precincts
B) the rate of increase in voter turnout (y)( y ) for suburban precincts, i.e., the slope of the yx2y - x _ { 2 } line
C) the mean voter turnout for suburban precincts
D) the difference between the mean voter turnout for suburban and urban precincts

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