Practice Questions for Midterm
1. Let Y be a random variable. Then var(Y) equals
a.
E[(Y Y ) 2 ] .
b. E[| (Y Y ) |] .
c. E[(Y Y ) 2 ] .
d. E[(Y Y )]
2. Two random variables X and Y are independently distributed if all of the following
conditions hold, wit
Ryerson University
Midterm Exam for ECN 627 Econometrics I
8:10-11am Oct. 19, 2016 at ENG102
I. Multiple choice questions(1 mark for each question, some
questions have more than 1 correct choices)
1. The random variable X represents the number of children
ECN 329: Midterm
(2012 Winter)
1. Multiple Choice Questions
(1) var(aX + bY ) =
(a) a2 var (X) + b2 var (Y )
(b) a2 var (X) + b2 var (Y ) + 2cov (X; Y )
(c) cov (X; Y ) + E (X) E (Y )
(d) a1=2 var (X) + a1=2 var (Y )
(2) Assume that Y
N ; 2 and Z N (0; 1)
San Francisco State University
Department of Economics
Econ 312/Spring 2010
Instructor: Sang-Yeob Lee
Econ 312: Midterm I
Thursday, March 18
Please do not turn this page over until instructed to do so.
Instructions (Please Read Carefully Before Starting)
Chapter 12: Instrumental Variables Regression
Multiple Choice
1)
The rule-of-thumb for checking for weak instruments is as follows: for the case of a
single endogenous regressor,
a.
b.
c.
d.
a first stage F must be statistically significant to indicate a
Chapter 9: Assessing Studies Based on Multiple Regression
Multiple Choice for the Web
1)
A survey of earnings contains an unusually high fraction of individuals who state their
weekly earnings in 100s, such as 300, 400, 500, etc. This is an example of
a.
Chapter 8: Nonlinear Regression Functions
Multiple Choice for the Web
1)
The interpretation of the slope coefficient in the model ln(Yi ) 0 1 ln( X i ) ui is as
follows: a
a.
b.
c.
d.
2)
1% change in X is associated with a 1 % change in Y.
change in X by
Chapter 6: Linear Regression with Multiple Regressors
Multiple Choice for the Web
1)
In the multiple regression model, the adjusted R2, R 2
a.
b.
c.
d.
2)
cannot be negative.
will never be greater than the regression R2.
equals the square of the correlati
Chapter 5: Regression with a Single Regressor: Hypothesis Tests and Confidence
Intervals
Multiple Choice for the Web
1)
The t-statistic is calculated by dividing
a. the OLS estimator by its standard error.
b. the slope by the standard deviation of the exp
Chapter 4: Linear Regression with One Regressor
Multiple Choice for the Web
1)
Binary variables
a.
b.
c.
d.
are generally used to control for outliers in your sample.
can take on more than two values.
exclude certain individuals from your sample.
can take
Chapter 3: Review of Statistics
Multiple Choice for the Web
1)
An estimator Y of the population value Y is consistent if
p
a. Y Y .
b. its mean square error is the smallest possible.
c. Y is normally distributed.
p
d.
2)
A type II error is
a.
b.
c.
d.
3)
Chapter 2: Review of Probability
Multiple Choice for Web
1)
The expected value of a discrete random variable
a.
b.
c.
d.
2)
For a normal distribution, the skewness and kurtosis measures are as follows:
a.
b.
c.
d.
3)
is the outcome that is most likely to
Ryerson University
Faculty of
o Arts
Department of Econo
omics
Fall 2016
ECN 627 Economeetrics I
8:10p
pm 11:00am
m Wednesdayys at ENG1002
Prerequisites: ECN 329, QMS 4442 or QMS 703
Instructo
or Name:
Office Location
Phone:
Email:
Office ho
our:
Website:
Mt1 preparation
Review the concepts
ch2: 2.1, 2.2, 2.3, 2.4, 2.6
ch3: 3.1, 3.3, 3.4, 3.8
ch4: 4.1, 4.2, 4.3
Multiple choice
ch2
1) The sample average is a random variable and
a. is a single number and as a result cannot have a distribution.
b. has a proba
Ryerson University
ECN 627 Econometrics I: Midterm Exam Sample
Questions
I. Multiple choice questions(1 mark for each question, some
questions have more than 1 correct choices)
1. The random variable X represents the number of children per family
in a rur
CECN 627 (2015 Spring)
Answers: Midterm
(1-10) Please answer True or False with brief explanation. (4 points for each question)
1 Suppose that the distribution of Y is N (3, 4). Let Z = (Y 3)/2. The distribution of Z is N (0, 1).
Yes, because
EZ
V arZ
Z
1
CECN 627 (2015 Spring)
Midterm
(1-10) Please answer True or False with brief explanation. (4 points for each question)
1 Suppose that the distribution of Y is N (3, 4). Let Z = (Y 3)/2. The distribution of Z is N (0, 1).
2 Let Yi , i = 1, . . . , n be ran
Ordinary Least Squares (OLS)
Brennan S. Thompson
Department of Economics, Ryerson University
October 7, 2012
Regression Models
I
In general, a regression model is written as
Yi = g (Xi ) + Ui ,
(i = 1, . . . , n)
where
I
I
I
I
Yi is the ith observation on
Errata
Last updated: 7:33pm, October 17, 2012
Chapter 1 (in ecn129-lecture_notes.pdf)
p. 12, 1st line: p(x) should be pX (x).
p. 12, 3rd line: Figure 1.2 refers to the PMF, not the CDF.
p. 26: In the 3rd line of the equation for Ecfw_[X E(X)]2 , E[(X)]
A Brief Introduction to R
Brennan S. Thompson
Department of Economics, Ryerson University
September 6, 2012
What is R?
I
R is an environment for statistical computing and graphics
I
Like S-PLUS, R is an implementation of the S language, the
de facto stand
An Introduction to Bootstrap Methods
Brennan S. Thompson
Department of Economics, Ryerson University
October 5, 2012
Asymptotic Approximations
I
Let Gn () be the CDF of
n(
n )
Sn =
I
d
Since Sn
N(0, 1) we can write
lim Gn (s) = (s),
n
at all continuity
Intrumental Variables (IV)
Brennan S. Thompson
Department of Economics, Ryerson University
October 8, 2012
Endogeneity
I
I
We now consider relaxing the exogeneity condition
Example: Simultaneous equations:
I
Let:
Yi = Xi + Ui
Xi = Zi + Vi ,
I
I
where Cov(
Chapter 1 Solutions
1. (a) Since = c , we have
P ()
= P (c )
1 P ()
=
=
11
=
0.
(b) Since A , we have
P (A)
=
P ()
1.
2. The purpose of assuming P (A) < 1, which implies P (Ac ) > 0, is that
P (A|Ac ) is only defined if P (Ac ) > 0. Since A Ac = , we hav
Chapter 2 Solutions
1. The log-likelihood function is
`(x1 , . . . , xn ; )
=
=
=
=
n
X
xi
1
exp
log
i=1
n
X
1
xi
log
+
i=1
n
X
xi
log(1) log()
i=1
n
X
xi
.
log()
i=1
Differentiating with respect to , we have
n
`(x1 , . . . , xn ; ) X 1
xi
=
+ 2 .
i=1
ECN 627
Practice for Midterm (Source: 2013 Midterm)
1. (3 points for each question) Indicate whether you agree or disagree. If you disagree, briefly explain
the reason (within 3 lines). If you dont provide a proper reason to disagree, you will get zero po
Faculty of Arts
Department of Economics
ECN 627 Econometrics I
Fall 2016, Section 04/05/06
ENG / M / MAIN / ENG / ENG101, Wed 08:00-11:00
Pre-Requisites: ECN 329, QMS 442, QMS 703
Instructor Name:
Office Location:
Office Hours:
Phone:
Email:
TA:
Yu Wang
J
COURSE CECN 627, SECTION FA0
Econometrics I
COURSE OUTLINE FOR
SPRING/SUMMER 2012
INSTRUCTOR:
Min Seong Kim
INSTRUCTOR PHONE:
INSTRUCTOR E-MAIL:
[email protected]
COURSE PREREQUISITES:
None.
The Chang School Office Hours:
Monday to Thursday 8:00am 7
Practice Questions for Midterm
1. Let Y1 ; : : : ; Yn be i.i.d. draws from a distribution with mean . A
test of H0 : = 5 versus H1 : 6= 5 using the usual t-statistic yields a
p-value of 0:02:
(a) Does the 95% condence interval contain
(b) Can you determin