Econometrics

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  Zero Covariance Does Not Necessarily Imply Independence. Let X = −2, −1, 0, 1, 2 with Pr[X = x] = 1/5. Assume a perfect quadratic relationship between Y and X , namely Y = X 2. Show that cov(X, Y ) = E(X 3) = 0. Deduce that ρXY = correlation (X, Y ) = 0. The simple correlat...
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Your Power Point presentation should have no more than10 slides (front slide and bibliography do not count). Each slide should have only essential information. Don’t cram your slides with too much text! ? The last slide should contain a list of the sources you consulted for re...
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  Your friend is nearing graduation and nervous about living on his own since he grew up in the same town where all his family lives and supports him. He earned an academic scholarship but is unsure what he wants for a career. In comparing colleges, the criterion likely to be most importan...
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Young Alasdair loves lollipops and hates oatmeal. To induce him to eat enough oatmealand to restrain him from eating too many lollipops, his mum pays him 10 pence for every quartof oatmeal that he eats. The only way that he can get lollipops is to buy them at the sweet shop,where lollipops cost 5 pe...
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You would like to know whether privatization increases Örm productivity. You look at a cross-section of state-owned Örms in, say, 1995, and regress their productivity change to the next period (say, 2000) on whether they were privatized in the meantime (a dummy). (a) The ...
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You would like to estimate how GPA in a given term is a§ected by average daily time spent on studying (in hours) in that term. You collect data from your fellow students and estimate the following regression: ^ GP A = 3:0 + 0:1hours (a) What is the interpretation of the constant? (b) In ...
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  You will have to create a new formula in a cell in the Data sheet of EstimatingS- DErrors.xls that computes the squared deviation of each sample’s RMSE from the SD Errors parameter. Create another cell that does the same thing for the SD of the Residuals. Find the average of the squa...
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  You will have found in Exercise 7.7 that the estimates of the coefficients of PWEBEF and TENURE are different. This raises the issue of whether the difference is due to random factors or whether the coefficients are significantly different. Set up the null hypothesis H0: δ1 = δ...
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You want to regress yt on xt : Each follows a (deterministic) seasonal variation. One friend says you should Örst take out the seasonal variation by running each variable on seasonal dummies, and then run the regression on the residuals of these regressions. Another friend says you sho...
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You want to estimate whether there is a relationship between gender and smoking at your university. You collect data for a random sample of 200 students and run a linear probability model, a probit model and a logit model, where the dependent variable is a binary indicator for whether an individual ...

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