Question: The relationship between nominal exchange rate and relative prices. From annual observations from 1985 to 2005, the following regression results were obtained, where Y =

The relationship between nominal exchange rate and relative prices. From annual observations from 1985 to 2005, the following regression results were obtained, where Y = exchange rate of the Canadian dollar to the U.S. dollar (CD/$) and X = ratio of the U.S. consumer price index to the Canadian consumer price index; that is, X represents the relative prices in the two countries:

t = -0.912 + 2.250Xt             r2 = 0.440

se =               0.096

a. Interpret this regression. How would you interpret r2?
b. Does the positive value of Xt make economic sense? What is the underlying economic theory?
c. Suppose we were to redefine X as the ratio of the Canadian CPI to the U.S. CPI. Would that change the sign of X? Why?

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