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Problem 2 A researcher is considering two regression specifications: (1) log Y = B1 + B2 log X + u and: (2) Y Y = Q1 + a, log X + u where u is a disturbance term. Writing y = log Y, x = log X, and z = log , and using the same sample of n observations, the researcher fits the two specifications using OLS: (3) y = B1 + B21 and: (4) 2 = 01 + 021 (a) Show that the standard errors of 82 and a2 are the same. (b) Explain whether r would be the same for the two regressions