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Problem:
(a) Why is an error term added to a regression and explain its importance in the OLS procedure?
(b) Suppose we have a linear equation with a constant term, one explanatory variable and an error term, show in details the steps required, using the OLS procedure, to derive the estimates of the constant term and that of the coefficient of the explanatory variable.
(c) Suppose a researcher wants to test whether the returns on a company stock (y) show unit sensitivity to two factors (factor x2 and factor x3) among three considered. The regression is carried out on 144 monthly observations. The regression is: Yt = β1 + β2x2t + β3x3t + β4x4t+ ut
i) What are the restricted and unrestricted regressions?
ii) If the two RSS are 502.4 and 302.8 respectively, perform an F-test of the restriction, showing all the required steps.
(d) How are the t-test and the F-test related and describe in which cases they cannot be applied?
who is a rational producer?
Asian Crisis: Between 1997-98, several of the East Asian tiger economies suffered a severe economic and financial crisis. it had big consequences in the global financial markets, t
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Illustrate the roles of mathematics in modern economics? Roles of Mathematics in Modern Economics: Mathematics has become a significant tool into modern economics. Mostly
The marginal rate of substitution (MRS) quantifies the quantity of one good a consumer will sacrifice to get more of the other good. – It is calculated by the slope of the indif
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