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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?
Consider the following insurance market. There are two states of the world, B and G, and two types of consumers, H and L, who have probabilities pH =0.5 and pL =0.25 (high and low
1. Explain- a. Tragedy of commons b. Free rider problem c. Diminishing marginal utility d. Diseconomies of scale e. Tax incidence f. Elasticity g. Gains from
What is the marginal opportunity producing the first unit of paper? The marginal opportunity cost of producing the forth unit of paper?
Dynamic Changes in Costs: The Learning Curve * The learning curve measures impact of worker's experience on costs of production. * It describes relationship between a firm
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The efficiency loss of a tax is the tax revenue collected by government minus the value of the public goods financed through the tax. Why is this false?
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