Department of Economics
Columbia University
W3412
Fall 2015
SOLUTIONS to Problem Set 1
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections
Calculator was once a job description. This problem set gives you an opportunity t
Department of Economics
Columbia University
W3412
Spring 2010
Practice Midterm Exam
Introduction to Econometrics
Profs. Seyhan E Arkonac, PhD and. Marcelo J. Moreira, PhD
Spring 2010
1. Suppose youve collected data on college grade point average (gpa), hi
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTIONS to Problem Set 1
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J. Moreira
for Sections 2 and 3.
Calculator was once a job description. This problem set gives you an op
Department of Economics
Columbia University
UN3412
Fall 2016
SOLUTIONS to Problem Set 1
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections
Calculator was once a job description. This problem set gives you an opportunity
Department of Economics
Columbia University
W3412
Spring 2010
Solution to Practice Midterm Exam
Introduction to Econometrics
Profs. Seyhan E Arkonac, PhD and Marcelo J. Moreira, PhD
Spring 2010
1. Suppose youve collected data on college grade point averag
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTIONS TO
Problem Set 2
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J. Moreira
for Sections 2 and 3.
1. [graded] In Problem Set 1, last week, you have calculated intercept
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTIONS to Problem Set 6
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J Moreira
for section 2 and section 3.
Question 1
The data file RENTAL.dta include rental prices and oth
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTION to Problem Set 7
Introduction to Econometrics
Profs. Seyhan E Arkonac and Macelo J. Moreira
for sections 2 and 3.
1. Who smokes? The data set smoker.dta contains a random sample of 1,196
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTIONS TO
Problem Set 3
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J. Moreira
for Sections 2 and 3.
1. Use Table 2 to answer the following questions. Table 2 presents the
Department of Economics
Columbia University
W3412
Fall 2015
Problem Set 6
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections.
Part I
Question 1
True, False, Uncertain with Explanation:
(a) If the key explanatory variable
Columbia University
Department of Economics
W3412
Fall 2015
Problem Set 5
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections
Part I
Consider the following results for a wage regression where lwage is the natural log of a
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTION to Problem Set 5
Introduction to Econometrics
Prof. Seyhan E Arkonac and Marcelo J. Moreira
for sections 2 and 3.
Hprice1.dta is a data set collected from the real estate pages of the Bo
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTION TO
Problem Set 4
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J. Moreira
for Sections 2 and 3.
1. Consider the following multiple regression model:
Yi 0 1 X 1,i 1 X 1,
Introduction to econometrics - Problem Set 3
Suggested solutions
February 17, 2014
3.2 :
a. Lets denote N1 and N0 respectively the number of 1s and 0s.
1
Therefore Y = n n Yi = 1.N1 +0.N0 = N1N1 0 = p
i
n
+N
1
b. E() = E(Y ) = E( n
p
n
i Yi )
= E(Yi ) = p
Panel Data II & III
Lecture 16
Seyhan Erden, PhD
No ps this week
PS#6 will be posted next week.
1
Regression with Panel Data
A panel dataset contains observations on multiple
entities (individuals), where each entity is observed
at two or more points in
Regression with a
Binary Dependent Variable
(SW Chapter 11)
Outline
1. The Linear Probability Model
2. Probit and Logit Regression
3. Estimation and Inference in Probit and Logit
4. Application to Racial Discrimination in Mortgage
Lending
SW Ch. 11
1/50
B
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTION TO
Problem Set 9
Introduction to Econometrics
Profs Seyhan E Arkonac and Marcelo J. Moreira
for sections 2 and 3.
Question I: SW Exercise 13.5 (page 512)
(a) This is an example of attrit
Department of Economics
Columbia University
W3412
Fall 2011
SOLUTIONS TO Problem Set 9
Introduction to Econometrics
Profs. Seyhan E Arkonac and Marcelo J. Moreira
for sections 2 and 3.
100
110
Germany
120
130
1. Purchasing power parity (PPP) is a simple r
Department of Economics
Columbia University
W3412
Fall 2010
SOLUTION Problem Set 3
Introduction to Econometrics
Prof. Dennis Kristensen and Seyhan E Arkonac, PhD
for all sections
1. Use Table 2 to answer the following questions. Table 2 presents the resul
Final Exam Review
Introduction to Econometrics, Columbia University
Spring 2017
Outline
1. Review of main concepts
2. Topic outline
3. Practice problems
I
Note: Two exams from past years are posted on the course
website.
I
The material taught was slightly
Final Econometrics 482 Sample Questions, Hendrik Wolff
1. Dummy Variables and Structural Change
Consider the consumption function
C t = + Yt + u t
where C t is aggregate consumption expenditures in the United States and Yt is disposable
income, both in co
Instrumental Variables Regression
(SW Chapter 12)
Outline
1. IV Regression: Basic Idea and Estimation Approach
2. The General IV Regression Model
3. Checking Instrument Validity
a. Weak and strong instruments
b. Instrument exogeneity
4. Examples: Where Do
Regression with Panel Data
(SW Chapter 10)
Outline
1. Panel Data: What and Why
2. Panel Data with Two Time Periods
3. Regression with Fixed Effects
4. Regression with Time Effects
5. Standard Errors for Fixed Effects Regression
6. Application to Drunk Dri
Introduction to econometrics - Problem Set 6
Suggested solutions
April 1, 2014
8.2 :
a. The expected change is 500 0.00042 = 0.21. Therefore, this would mean a 21% increase of
the price of the house. The condence interval for this eect is 500 (0.00042 1.9
Department of Economics
Columbia University
W3412
Fall 2015
Problem Set 7
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections.
Part I
True, False, Uncertain with Explanation:
(=1 | )
(a) In a probit /logit model, the marg
STATA HINTS STATA command
probit y1 x1 x2
sca p1 = normprob(1.29)
dis p1
sca p2 = _b[_cons]+_b[smkban]
Description
Estimates probit regression of y1 vs. x1 and x2
Calculates area to the left of 1.29 under the
normal probability distribution and assigns th
ECON !)!
Chapter 1
SOLUTIONS TO TEXT PROBLEMS:
Quick Quizzes
1.
The four principles of economic decisionmaking are: (1) people face tradeoffs; (2) the
cost of something is what you give up to get it; (3) rational people think at the margin;
and (4) people
The Time Value of Money
(contd.)
February 11, 2004
Time Value Equivalence Factors
(Discrete compounding, discrete payments)
Factor Name
Factor Notation
Formula
Future worth factor
(compound
amount factor)
(F/P, i, N)
F=P(1+i)N
Present worth
factor
(P/F, i
Multiple Regression I and II
(Heteroskedasticity,
Multicollinearity)
(Fall 2017)
Lecture 7 and 8
Seyhan Erden, PhD
Problem Set 2 is due NOW.
1
The Extended Least Squares
Assumptions
These consist of the three LS assumptions, plus two more:
1. E(u|X = x) =
Introduction to Econometrics
W3412, Fall 2017
Lecture 1, 2 and 3
Seyhan Erden, PhD
What is a Random Variable?
Gender of the next student who walks into the
room
Number of times your computer will crash
while you are writing a term paper
Number of times
Department of Economics
Columbia University
W3412
Spring 2017
SOLUTIONS to Problem Set 1
Introduction to Econometrics
Seyhan Erden for Section 2
Calculator was once a job description. This problem set gives you an opportunity to do some
calculations on th
Regression with a single
Regressor: Hypothesis Testing
and Confidence Intervals (cont)
Lecture 5 and 6
Seyhan Erden, PhD
Problem Set 2 is due at the beginning of the class
on Tues Sept. 26th
1
Regression with a Single Regressor:
Hypothesis Tests and Confi
Department of Economics
Columbia University
UN3412
Fall 2017
SOLUTIONS TO
Problem Set 2
Introduction to Econometrics
Seyhan Erden
Part I
True, False, Uncertain with Explanation:
1. [graded] The assumption that the errors in a regression model have a norma