Question 1
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.
◦
E(
y) =
β0 +
β1x, where
x = voter turnout
◦
E(
y) = β
0 +
β1x, where x = 1 if national, 0 if state
◦
E(
y) =
β0 +
β1x1 +
β2x2, where
x1 = 1 if national, 0 if not and
x2 = 1 if state, 0 if not
◦
E(
y) =
β0 +
β1x +
β2x2, where
x = voter turnout
Question 2
It is desired to build a regression model to predict y = the sales price of a single family home, based on the neighborhood the home is located in. The goal is to compare the prices of homes that are located in four different neighborhoods. Which regression model should be built?
◦ E(y) = β
0 + β
1x
1 + β
2x
2 + β
3x
3 + β
4x
4, where x
1 - x
4 are qualitative variables that describe the four neighborhoods.
◦ E(y) = β
0 + β
1x
1 + β
2x
2 + β
3x
3, where x
1 - x
3 are qualitative variables that describe the four neighborhoods.
◦ E(y) = β
0 + β
1x
1 + β
2x
12, where x
1 is a qualitative variable that describes the four neighborhoods.
◦ E(y) = β
0 + β
1x
1, where x
1 is a qualitative variable that describes the four neighborhoods.
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