The amount of the State of Florida’s total revenue that is allocated to the education budget is believed to be dependent upon the total revenue for the year and the political party that controls the state legislature. Which of the following regression models is most appropriate for capturing the effect of the political party on the education budget? Assume Yt is the amount of the education budget for Florida in year t, X is Florida’s total revenue in year t, and Dt = {1 if the legislature has a Democratic majority in year t, 0 otherwise}.
A) |
Yt = b1Dt + b2Xt + et. | |
B) |
Yt = b0 + b1Dt + b2Xt + et. | |
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In this application, b0, b1, and b2 are estimated by regressing Yt against a constant, Dt, and Xt. The estimated relationships for the two parties are:
Non-Democrats: |
? = b0 + b2Xt |
Democrats: |
? = (b0 + b1) + b2Xt | |