SOLUTIONS TO Problem Set 1 Introduction to Econometrics prepared by Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010 "Calculator" was once a job description. This problem set gives you an opportunity to do some calculations
Department of Economics Columbia University SOLUTION TO Problem Set 4 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD Spring 2010
W3412 Spring 2010
1. Use Table 2 to answer the following questions. Table 2 presents the resu
Problem Set 1: Statistics Review
Chris Conlon and Christoph Rothe
January 29, 2015
Question 1
N
1
Let X, Y be i.i.d. random variables with realizations (xi , yi ) for i = 1, . . . , N . Let x = N i=1 xi and
N
1
y = N i=1 yi with sample correlation coecien
Problem Set 6: Multiple Regression
Chris Conlon and Christoph Rothe
Question 1
Consider the log-linear regression model
log(Yi ) = 0 + 1 Xi + Ui .
(a) We have seen in class that 1 can be interpreted as the approximate percentage increase in Yi in response
Department of Economics
Columbia University
W3412
Fall 2014
SOLUTIONS to Problem Set 1
Introduction to Econometrics
Profs. Seyhan E Arkonac and Miikka Rokkanen
for all sections
Calculator was once a job description. This problem set gives you an opportuni
Department of Economics
Columbia University
W3412
Fall 2014
SOLUTIONS TO
Problem Set 2
Introduction to Econometrics
Profs. Seyhan E Arkonac and Miikka Rokkanen
for all sections
Part I
True, False, Uncertain with Explanation:
1. [graded] The assumption tha
Department of Economics Columbia University SOLUTIONS TO Problem Set 3 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010
W3412 Spring 2010
1. The following question is a continuation of problem se
Problem Set 2: Simple Linear Regression
Chris Conlon and Christoph Rothe
Due: Feb 6
You may want to take a look at the R/ggplot2 plotting cookbook: http:/www.cookbook-r.com/
Graphs/Plotting_distributions_(ggplot2)
Question 1: Testing the Superbowl Theory
Department of Economics
Columbia University
W3412
Fall 2014
SOLUTIONS TO
Problem Set 3
Introduction to Econometrics
Profs. Seyhan E Arkonac and Miikka Rokkanen
for all sections.
Part I.
True, False, Uncertain with Explanation:
(a) Dummy" variables are var
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTIONS to Problem Set 2
Introduction to Econometrics
Profs: Seyhan E Arkonac and Chris C Conlon
for all sections
Question I:
Testing the Superbowl Theory:
We have provided you with the STATA
Department of Economics Columbia University SOLUTIONS TO Problem Set 5 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010
W3412 Spring 2010
1. hprice1.dta is a data set collected from the real esta
Department of Economics Columbia University SOLUTIONS TO Problem Set 6 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010
W3412 Spring 2010
1)
Create a new binary variable higdppc, which equals one
Department of Economics
Columbia University
W3412
Fall 2014
SOLUTIONS to Problem Set 7
Introduction to Econometrics
Profs. Seyhan E Arkonac and Miikka Rokkanen
for all sections.
Part I
True, False, Uncertain with Explanation:
(=1|)
(a) In a probit /logit
Columbia University
Department of Economics
W3412
Spring 2012
SOLUTIONS TO Problem Set 5
Introduction to Econometrics
Profs: Seyhan E Arkonac and Chris C Conlon
for all sections
1)
Create a new binary variable higdppc, which equals one if gdppc is greater
Department of Economics Columbia University SOLUTION TO Problem Set 8 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010
W3412 Spring 2010
Question I: SW Exercises 12.1 (page 457)
(a) The change in
Problem Set 8: Instrumental Variables
Profs. Christopher T. Conlon and Seyhan E. Arkonac, Columbia University
W3412 Spring 2012
Question 1
Consider the following regression model Yi =
0
+
1 Xi
+ ui and two estimators OLS and I V .
(a) Rewrite the variance
Department of Economics
Columbia University
W3412
Fall 2014
SOLUTIONS to Problem Set 6
Introduction to Econometrics
Profs. Seyhan E Arkonac and Miikka Rokkanen
for all sections.
Part I
Question 1
True, False, Uncertain with Explanation:
(a) If the key exp
Problem Set 9: Binary Dependent Variables
Profs. Christopher Conlon and Christoph Rothe
Econometrics, Spring 2015
Question 1
Suppose that you have a dataset with n observations (Yi , Xi ) of a binary outcome variable Yi and an
explanatory variable Xi .
(a
Department of Economics
Columbia University
W3412
Fall 2015
SOLUTIONS to 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 mo
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTIONS TO Problem Set 3
Introduction to Econometrics
Profs: Seyhan Erden Arkonac and Chris C Conlon
for all sections
Question I:
Use the data in .hprice1.dta. to estimate the following model
Department of Economics Columbia University SOLUTION TO Problem Set 7 Introduction to Econometrics Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010 Question I: 10.1
W3412 Spring 2010
(a) Yes. The t-statistic for the coeffici
SOLUTIONS TO Problem Set 2 Introduction to Econometrics prepared by Prof. Marcelo J. Moreira and Seyhan E Arkonac, PhD for all sections Spring 2010 1. Suppose you have some money to invest for simplicity, $1 and you are planning to put a fraction w into a
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTIONS TO Problem Set 9
Introduction to Econometrics
Profs. Seyhan E Arkonac and Christopher T. Conlon
for all sections.
1. Data set cpi_unemp_1948_2011.dta is downloaded from St Louis Fed w
Problem Set 7: Panel Data Analysis
Profs: Chris Conlon and Christoph Rothe
Question 1
Consider the following xed eects specication:
yit = 0 + 1 xit + i + t + it
a. What is the interpretation of i ? How does it aect the regression line?
It is an entity xed
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTIONS TO Problem Set 4
Introduction to Econometrics
Profs: Seyhan E Arkonac and Chris C Conlon
for all sections
1. Preliminary data analysis:
a) Produce the scatterplot of ftmpop vs. gdppc.
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTION to Problem Set 7
Introduction to Econometrics
Profs. Seyhan E Arkonac and Chris topher T. Conlon
for all sections .
1. Who smokes? The data set smoker.dta contains a random sample of 1
Department of Economics
Columbia University
W3412
Spring 2012
SOLUTIONS to Problem Set 6
Introduction to Econometrics
Profs. Seyhan E Arkonac and Chris C. Conlon
for all sections
1. Some U.S. states have enacted laws that allow citizens to carry concealed
Final Exam Practice Questions
1
Question 1: Estimation of the population mean, clustering, and autocorrelated errors
Denote individuals by the subindex i and time periods by the subindex t. Suppose you have a
balanced panel dataset with 2 individuals and
Department of Economics
Columbia University
W3412
Fall 2015
SOLUTIONS TO Problem Set 8
Introduction to Econometrics
Profs. Seyhan Erden and Miikka Rokkanen
for all sections.
Part I:
True, False, Uncertain with Explanation:
1. You want to estimate a supply
Problem Set 10: Instrumental Variables
Profs. Christopher T. Conlon and Christoph Rothe
Question 1
Consider the regression model Yi = 0 + 1 Xi + ui and the two estimators OLS and IV . Also recall the
expressions for the (approximate) variance of each esti