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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?
An economy has only one member Robinson Crusoe. Robinson allocates his time between fishing and collecting fruits. One hour spent finishing yields 4 fish. One hour spent collecting
MRTS and Marginal Productivity The change in output from change in labor equals: The change in output from change in capital equals
1. Through graphs describe the relationship between the price, P , and the average total cost, ATC , for a firm in perfect competition when it earns an economic profit; earns a n
explain the relationship between ATC,AVC and MC by using diagram
Types of production function
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What is Expenditure Function? The Expenditure Function: When preferences satisfy the local nonsatiation assumption, in that case v(p, m) will be strictly increasing into m.
Determinants of the Income Elasticity of the Demand: The determinants of income elasticity of demand are given below: The Degree of necessity of the commodity.
Consider two hypothetical nations, Solowia and Growia, which are defeated in wars. These two nations were suffered from wars differently; the damage is on capital stock in Solowia,
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