Question

In: Statistics and Probability

You are interested in examining the factors that determine the average length of stay in a...

You are interested in examining the factors that determine the average length of stay in a hospital across provinces. You collect data on the following variables:
Y = province-wide average hospital stay
X2 = median provincial income
X3 = 1 if the province is one of the Atlantic provinces, 0 otherwise
X4 = 1 if the province is in Quebec or Ontario, 0 otherwise
X5 = 1 if the province is in the Prairies, 0 otherwise
X6 = 1 if the province is BC or Alberta, 0 otherwise

You run the following regression Y = β1 + β2X2 + β3X3 + β4X4 + β5X5. How much longer would we expect to stay in a hospital in the Atlantic provinces than in a hospital in Ontario or Quebec?

A.

β3

B.

β1 + β3

C.

β3 - β4

D.

β4

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