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
*c. can be calculated by dividing the covariance between
X
and
Y
by the product of the two
standard deviations.
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
*b.
Y
has the smallest variance of all estimators.
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 Fall '10
 Otusbo
 Econometrics, Normal Distribution, Standard Deviation, Variance, Null hypothesis, World population, population growth rate

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