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2. Consider the Normal regression model which is partly linear and partly non- linear:yi D þ1 C þ2 xi 2 CÐ Ð Ð C þk xik C f .xi;kC1; ::: ; xi;kCp / C "i
(a) Using a noninformative prior, derive the marginal posterior p jy/.
(b) Discuss how you might derive a posterior simulator if you wished to carry out Bayesian inference solely on .
(c) Discuss how you might derive a posterior simulator if you wished to carry out Bayesian inference on and þ1;:: : ; þk .
A manufacturer producing ball bearings claims that the mean weight of ball bearings produced is 5 ounces. The distribution is known to be normal with standard deviation 0.1 ounces. A random sample of 16 ball bearings is taken and their mean weight..
Consider the following exchange economy with two consumers and two goods. Consumer 1 has utility function u(x,y) = x1/2 y1/2 and initial endowments (ex,ey)=(1,0). Consumer 2 has utility function u(x,y) = x2 y and initial endowments (ex,ey)=(0,1).
The widget Industry in Anytown is a monopoly, controlled by Widget Corp. Its demand curve for the local market is given by P = 800 - 20 W Where W represents the number of widgets sold per period. The total cost function (including opportunity or impl..
a company uses solid waste for fuel in theproduction of electricity. The cost Y in dollars per hour toproduce electricity is: Y=12 + 0.3X +0.27X2 ,where X is in megawatts.
The demand curve for the new computer game, Rock and Roll Trivia, is given as follows Q= 200 - 5P - .1Pc - .5Pd + .2A -I
Calculate the annual total cost of ownership. Which car do you prefer to buy if DN alternative does not exist? Find the value of x (x being the miles driven for each car per year), so that the total ownership costs are the same.
You are buying a new car for $20,000. You put $2000 down and are financing the balance. You signed a contract for the loan for 4 years. Your loan has an interest rate of 8% interest (APR). You make monthly payments and the interest is compounded m..
What is the composition of GDP by percentage?
Assume that the officials in Ecoland have compiled the followinginformation about their economy for last year. The government uses the following equation for the investment function
Find the equilibrium price and quantity in the black market.
Suppose Chemical Bank makes a loan of $100,000 to Al. Al uses the loan to buy a house from Bob, and Bob deposits Al's check into his account at Citibank. Show what happens at each stage of this process to the deposit liabilities
Next, assume you paid $700 in interest on your student loans last year, put $2,000 into a health savings account (HSA), and deposited $5,000 into an individual retirement account (IRA). These expenditures are all tax exempt.
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