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Unformatted text preview: 01:220:322:07 Econometrics Fall 2010 Midterm1 September 30. Instructor: Yoichi Otsubo Student ID Name Instructions. Starting at 4:30 pm &nishing at 5:50 pm. Calculators and cell phones are NOT allowed. There are 20 questions, 5 points each. In total, worth 100 points of the course grade. A. Multiple Choice. Circle the right answer. 1) Two random variables X and Y are independently distributed if all of the following conditions hold, with the exception of a. Pr( Y = y j X = x ) = Pr( Y = y ) : b. knowing the value of one of the variables provides no information about the other. c. if the conditional distribution of Y given X equals the marginal distribution of Y . *d. E ( Y ) = E [ E ( Y j X )] : 2) The correlation between X and Y a. cannot be negative since variances are always positive. b. is the covariance squared. *c. can be calculated by dividing the covariance between X and Y by the product of the two standard deviations. d. is given by corr ( X;Y ) = cov ( X;Y ) var ( X ) var ( Y ) : 3) var ( aX + bY ) = a. a 2 & 2 X + b 2 & 2 Y *b. a 2 & 2 X + 2 ab& XY + b 2 & 2 Y c. & XY + X Y d. a& 2 X + b& 2 Y 4) Consistency for the sample average Y can be de&ned as follows, with the exception of a. Y converges in probability to Y : *b. Y has the smallest variance of all estimators. c. Y p &! Y : d. the probability of Y being in the range Y c becomes arbitrarily close to one as n increases for any constant c > ....
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This note was uploaded on 11/20/2011 for the course ECONOMICS 220:322 taught by Professor Otusbo during the Fall '10 term at Rutgers.
- Fall '10