# UCLA ECON 103 - Econ-103-2013-Midterm-Ver-A (1) (9 pages)

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## Econ-103-2013-Midterm-Ver-A (1)

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- Pages:
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- School:
- University of California, Los Angeles
- Course:
- Econ 103 - Introduction to Econometrics

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Moshe A Buchinsky Department of Economics UCLA Economics 103 Introduction to Econometrics Fall 2013 Mid Term Examination November 7 2013 This is an open book in class exam You are allowed to use your text book your note book and a calculator Please answer all the questions below Please choose the best answer among all available answers Only one answer is the best answer Please circle one and only one answer If more than one answer is circled the question will not be counted Please type you name and your UCLA ID First Name Last Name UCLA ID Exam Version Please start solving the examinations only when you are instructed to do so Please stop immediately when instructed to do so Good Luck 1 Part I each question worth 4 points Consider the following regression model yi for i 1 N Let ei jxi 2 i is 0 and its variance is 2 i 0 1 2 xi ei That is conditional on xi ei has a distribution whose mean Let N 1 X xi N s2x x 2 where x i 1 N 1 X xi N 1 One ran a regression of y on x and obtained the following estimates for b2 5 De ne xi 10 a b1 4 b2 5 b b1 4 b2 05 c b1 4 b2 5 d b1 4 b2 5 2 Under the assumptions SR1 SR5 made in Chapter 2 a E b2 2 always b E b2 2 only if the distribution of ei is normal c E b2 2 only if d E b2 6 2 always 2 i 2 for all i i e 2 i is a constant 3 Given the de nition of s2x in equation 1 a The smaller is N s2x the smaller is the variance of b2 b N s2x provides no information about the variance of b2 c The variance of b2 is not a ected by the sample variance of x d The larger is N s2x the smaller is the variance of b2 b1 1 and 2 b1 4 xi If one were to run a regression of y on x the estimates b1 and b2 would be 4 De ne ebi yi 1 i 1 b2 xi P a It need not be that N bi 0 i 1 e PN b bi 0 always i 1 e PN c bi 0 under assumptions SR1 SR5 i 1 e PN d bi 0 only if E ei 0 i 1 e 2 5 Suppose that PN 2 i 1 xi 110 and a b2 1 054 PN i 1 xi yi 90 then b b2 0 948 c b2 3 201 d It is not possible to compute b2 based on the information given 6 Suppose b2 75 se b2 05 and N 42 The

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