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An elections officer wants to model voter turnout (y) in a precinct as a functio

ID: 3351116 • Letter: A

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)-A) + 1x1 + 2x2, where x 1-1 if national, 0 if not and x2-1 if state, 0 if not ) E(y)-PO + 1 x, where x = 1 if national, 0 if state E(y) = PO + P 1 + P , where = voter turnout E(y)-' x, where = voter turnout + Consider the model y = 0 + 1 x 1 + 2x2 + 3x3 quantitative variable and x2 and x3 are dummy variables describing a where x1 is a qualitative variable at three levels using the coding scheme 1 if level 2 0 otherwise 1 if level 3 0 otherwise The resulting least squares prediction equation is y 16.3+ 2.3x1+3.5x2+1.8x3 What is the response line (equation) for E(y) when x2-0) and x3 = 1? A) y = 16.3 + 2.3x1 C) y = 18.6 + 23x1 B) y = 16.3 + 4.1x1 D) y = 18.1 +2.3#1

Explanation / Answer

Answer:

Part1

Type of election is taking values 0 and 1.

B. E(y) = 0+1x

Part 2.

Whe x2=0 and x3=1,

Y= 16.3+2.3x1+3.5*0+1.8*1

=18.1+2.3x1

Answer: D.

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