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1. Consider the simple linear regression model without an intercept, y = ß1x + u, with the assumption E(u|x)=0. Also assume that E(x)=0
a. Show that E(y)=0 and using this as well as E(x)=0 show that the covariance between x and y is given by E(xy) and that the variance of x is given by E(x2 )
b. Using the results in a. and the assumptions above show that E(xu)=0 and hence that ß1 = E(xy) / E(x2 )
c. What is the Least Squares estimate of ß1 (say ß~ ) in this model without an 1 intercept? How does it relate to the population value ß1 ? Do they have to be the same - Why? Why not?
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What is CEO Toback's most pressing concern and how could he go about addressing this concern?2. Do you agree or disagree with the assessment of the concern and the plan to address this concern? Why or why not?
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Assume a company has the following production function: Q = 100 K.5 L1 . Currently, the company hires 1,000 workers and employs 100 units of capital.
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The price at point a is $70 and the price at point c is $10 per bag. The price at point d is $40 and the price at point e is $20 per bag. The price at point f is $32 and the price at point g is $4 per bag. Apply the formula for the area of a trian..
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