1
UCSD
Professor
Eli Berman
Economics 120B
Thursday, February 5, 2004
Midterm Exam
You are allowed one sheet of paper with equations on it and one calculator. The marks allocated
to each question are given in brackets. Please read all the questions before starting and allocate your time
accordingly.
Good luck.
(20) 1.
A. Given a random sample of 40 observations of variables Y and X from some population,
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provide a formula to estimate
$
, the slope of the population linear regression line.
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B. Write a formula to estimate a 95% confidence interval for
$
.
C. Now assume that 140 of your classmates sample from that population and estimate a
confidence interval as in part A. Let z be the number of confidence intervals (between 0 and 140) that
do
1
not
contain
$
. Estimate the expected value of z, E(z)?
(10 Bonus) D. What’s the variance of z, V(z)?
(50) 2. For each statement below, indicate if it is true or false and write a sentence justifying your
answer.
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 Spring '08
 Jeon
 Economics, Statistics, Econometrics, Eli Berman

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