Reference no: EM1321607

Q1) Elections officer wishes to model voter turnout (y) in precinct as function of type of precinct.

Consider model relating mean voter turnout, E(y), to precinct type:

E(y) = β 0 + β 1x1 + β 2x2, where        

x1 = 1 if urban, 0 if not

x2 = 1 if suburban, 0 if not

(Base level = rural)

Interpret value of β 2.

a) Rate of increase in voter turnout (y) for suburban precincts, i.e., the slope of the y-x2 line

b) Mean voter turnout for suburban precincts

c) Difference between mean voter turnout for suburban and rural precincts

d) Difference between mean voter turnout for suburban and urban precincts

P-value for the test H0: β 1 = β 2 = 0 is .14. Interpret the result

a) Reject H0 at β β = .10; model is useful for predicting voter turnout.

b) Reject H0 at β β = .01; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

c) Don't reject H0 at β β = .10; there is no evidence of difference between mean voter turnouts for urban, suburban, and rural precincts.

d) Reject model since it only describe 14% of variation.