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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?
Suppose Money Supply is growing at a rate of 7% per year and RGDP is growing at a rate of 3% per year. What is the inflation rate assuming the velocity of money is constant?What will be the inflation rate is the velocity of money is increasing 2% pe..
The company's income statement indicates current profits of $15,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and that the interest rate will remain constant at 6 percent,
The intensive development effort needed to expedite the introduction can be very expensive. Revenues and costs associated with the new product
Dennis is only interested in two things, eating food and playing the online multiplayer game Globe of Gratuitous Violence (GoGV) - a close competitor to world of warcraft. Dennis's utility is given by the function U(qf,qg) = 0.25ln(qf) + 0.75ln(qg..
Suppose worker productivity increased at the rate of 1.9% per year. If the labor force grew by 1.5% per year, what rate of increase in RGDP would be sustainable without increasing inflation pressures
a) Use exponential smoothing with a smoothing constant of .6 to produce forecasts from the data. Use 2500 as your forecast of demand for week 2. b) Use exponential smoothing with a smoothing constant of .3 to produce forecasts from the data. Use ..
At its current short-run level of production, a firm's average variable costs equal $20, and its average fixed costs equal $70. Its total costs at its current production level equal $200,000. a. What is the firm's current output level
Chell's demand function is P(ch) = 5-q(ch). Gordon's demand function is P(g)= 3-q(g). Draw the aggregate demand curve. What is the consumer surplus with the price is $2?
Investors know for sure that the CEO of firm A will undertake an investment that will yild $100 million profit next year and then $2 million each year after that for 10 years. They also know for sure that the CEO of firm B will undertake an invest..
Jethro has been promised a payment of $1000, which is to be paid exactly 8 years from now. He is completely certain that the payment will in fact be made. Jethro believes that the appropriate discount rate is 5% per year, and that this will contin..
A company is considering replacing its asphalt parking lots with concrete, at first cost of $1,200,000, and an annual maintenance cost of $15,000. Another option is also available, which is resurfacing the parking lots with asphalt with a first co..
If the demand curve for wheat in the United States is P = 12.4 - Qp where P is the farm price of wheat (in dollars per bushel) and is the quantity of wheat demanded (in billions of bushels), and the supply curve fo wheat in the United States is P ..
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