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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 a thin transparent plate whose thickness d(x,y) is a square (instead of a sinusoidal) periodic function of x of period Δ=λ. Show that the angle θ between the diffracted wa
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what is the formula for finding gross national product?
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Explain the Human Development Index Introduced by the UN in 1990, the index take into account not only the goods and services formed but also the ability of a population to use
1)The productive capability of an economy is such that to produce 5 units of military good it takes 2 workers to be employed while 10 units of consumer goods require 3 workers. Res
Discuss the costs and benefits of establishing a common currency. So, there is a convergence issue in setting up the common currency - and there will also be a convergence prob
Determine the productivity level of US Those who live in relatively poor regions of the world today have higher material living standards than their predecessors who lived in t
4) The prevention of major swings in economic activity can be handled most easily by the A. household sector B. business sector C. financial sector D. government sector Explain
discuss utility
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