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In a study of the relationship between real aggregate consumption and prices in a specific country based on a time series of 104 observations, the
In a study of the relationship between real aggregate consumption and prices in a specific country based on a time series of 104 observations, the following OLS regression function was obtained (standard errors in parentheses), C = 13.74 + 0.24P, R2 = 0.12, SER = 2.85, (1) (0.35) (0.05) where C, is logarithm of consumption and P is logarithm of price.Suppose that, in addition to a wnsumption equation CtZn'i'SlPt'i'uta where the error at is independently and identically distributed with mean I] and variance oi, a supply equation Q: = To +7113: + "fez: + 1'19 is considered, where Qt is logarithm of pruiuction, Z; is a. productivity vari able independent of u; and st, and the error term v; is independent of 11 and is independently and identically distributed with mean G and variance 0i {d} Suppose that the equilibriunl condition Q; = C; holds. Show that, if #31 a 71, then _ 1 l'TL \"'hat is the implication of this relationship for the OLE ' ' tion of the slope parameter J31 reported in (1)? Pt (Tno'l'Tzza'l'l-ft-uti
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