1
Economics 140
Professor: Scott Carson
Due: June 28th, 2012
Homework 1
Complete and show all your work
1. Given the following functional forms, find dy/dx for each:
A) y=x2+2x+1
B) y=x3+4x2+5x+1
C) y=ln x2+x2
D) y=x2+2xz+z2
E) Find dy/dz given y=x2+2xz+z
Economics 140 (Fall 2011)
Homework 3 Solutions
C5.3
We want to test the null hypothesis that mothers education and fathers education both dont
matter, so the number of restrictions equals 2. We run the restricted regression on the subset of
1,191 observat
ECON 140: Homework 1 Solutions
University of California, Berkeley
Fall 2011
Question 1.2
i. Suppose that two rms are identical in every respect except that one provides a dierent
number of hours of training per worker. How does this dierence impact the rm
Department of Economics University of California Economics 140: MIDTERM #1 ANSWERS
Fall 2007 Prof. Woroch
I. SHORT QUESTIONS: Give a concise but complete answer to each of the following 3 questions. Each question is worth 15 points for a total of 4
Department of Economics University of California Economics 140: Problem Set 1 Answer Sheet
Fall 2007 Prof. Woroch
Instructions: Include names and SIDs of the members of your study group and the name of the single GSI for all of you. When asked to s
Section 6 - Econ 140
GSI: Edson Severnini
1
Nonlinear regression
Yi = f (0 , 1 X1i , 2 X2i , ., k Xki ) + i , i = 1, ., N Effect on Yi of a change in X1i : Yi = f (X1i + X1i , X2i , ., Xki ) - f (X1i , X2i , ., Xki )
1.1
Polynomials
2 r Yi =
Econ 140 - Fall 2014
October 9, 2014
Mid-term 1
Put away everything besides basic writing tools, including cellphones,
pencil cases, rulers, calculators and blue books.
The exam has 100 points. Check now that you are not missing any
questions.
Write yo
Department of Economics
University of California
Spring 2014
Prof. Woroch
Economics 140: FIRST MIDTERM ANSWER SHEET
1. Consider the following population model of student test scores
where is an
unknown parameter. Assume that the test scores are independ
Department of Economics
University of California
Spring 2015
Prof. Woroch
Economics 140: PS2 Answer Sheet
1. Information was collected from several hundred individuals in 1975 about their earnings and
employment activity. This is found in the file called
Department of Economics University of California Economics 140: PROBLEM SET 3 ANSWER SHEET 1
Fall 2007 Prof. Woroch
In Problem Set 2, you estimated the returns to education by running a regression of ln(wage) on years of education. When responding
Econometrics (ECON 140- DUNCAN) 13 Feb 2008 Problem Set #1 3.23) [a]. Yes, the observed signs of the coefficients are in line with my own intuition because income and taxes historically have a positive relationship (if aggregate income increases then
SECTION 0: WHAT IS ECONOMETRICS? 1 ECON 140: ECONOMIC STATISTICS AND ECONOMETRICS, 101 AND 104 DIS HEDVIG HORVTH Spring 2011 1. WHAT IS ECONOMETRICS?
"the science and art of using economic theory and statistical techniques to analyze economic data" (SW p.
Chapter 2: Review of Probability
2.1.
(a)
Probability distribution function for Y
Outcome (number of heads)
Probability
Y=0
0.25
Y=1
0.50
Y=2
0.25
(b) Cumulative probability distribution function for Y
Outcome (number of
heads)
Probability
Y<0
0Y<1
1Y<2
0
Department of Economics University of California, Berkeley
Spring 2006 Prof. Woroch
Midterm 1Exam Code #193
Tuesday, February 21st , 2006
Instructions. Write your name and SID, your GSIs name, and the above Exam Code # on the front cover of each of
Economics 140: Exam 2
University of California, Berkeley
July 28, 2011
1
(15 pts) True/false
Consider a standard regression model that meets all Gauss-Markov conditions except for an
unknown form of heteroskedasticity. Consider two potential corrections:
Chapter 6: Linear Regression with Multiple Regressors
6.1. By equation (6.15) in the text, we know
Thus, that values of are 0.175, 0.189, and 0.193 for columns (1)(3).
6.2.
(a)
Workers with college degrees earn $5.46/hour more, on average, than workers
wi
1
Problem Set 5 Solutions by Edson Severnini 1. Using the GRETL prepackaged data set Ramathan data 7.14, Homicide across States, complete the following. Variables are those as defined by the GRETL descriptive label. a. Estimate and report OLS param
Economics 140: Exam 1
University of California, Berkeley
July 7, 2011
1
(12 pts) True/false
For the following statements, indicate whether they are true or false; no explanation is
necessary.
a. (3 pts) The OLS procedure guarantees that the error term is
1
Problem Set 5 Solutions by Edson Severnini 1. Using the GRETL prepackaged data set Ramathan data 7.14, Homicide across States, complete the following. Variables are those as defined by the GRETL descriptive label. a. Estimate and report OLS param
1
Problem Set 5
1. Using the GRETL prepackaged data set Ramathan data 7.14, Homicide across States,
complete the following.
a. Estimate and report OLS parameter estimates for the equation
Mr=+1exec+2south+3+4 ue+5capital+6pcy+
b. Plot mr on exec, mr on ue
Problem Set #5
Instrumental Variables
Econometrics 140
1. Use the GRETL data set kmenta.gdt to estimate the structural equations:
Q d = 0 + 1 P + 2 D + 1
and
s
Q = 0 + 1 P + 2 F + 2
where Q is food per capita (quantity); P is the ratio of food price to a
Econ 140
Problem Set 4
Fall 2014
Exercise 1
a) Yi = e0 KiK LL
i
log(Yi ) = log(e0 KiK LL ) (take the natural log of both sides)
i
log(Yi ) = 0 + K log(Ki ) + L log(Li ) (by properties of the natural log).
b) If we regress log(Yi ) on log(Ki ) and log(Li
Department of Economics
University of California
Spring 2015
Prof. Woroch
Economics 140: Problem Set 2
Due: Tuesday, February17, 2015, 11:00 AM (before lecture)
Instructions: Include names and SIDs of the members of your study group and the name of the si
Chapter 2: normal distribution formula: f(x) = 1/ sqrt(2)exp(-x2/2) Binomial distribution: f(x) = (n/x)pxq(n-x) = (n!/(x!(n-x)!)pxqn-x Mean of a distribution = = E(x) = [xif(xi)] E[g(x)] = [g(xi)f(xi)] Property 2.1: a. E(x-) = E(x) = 0 b. If c is
Section4-EconL40
GSI: Edson Severnini
4.3 The MultipleRegressionModel in MatrixForm APPENDIX REPRESENTATION OF THE MULTIPLE REGRESSION MODEL of The purposeof this appendixis to presentgeneralizations important textual We this items.It would be diffi
Section 6 - Econ 140 (Solutions)
GSIs: Carla, Caroline, Dario, Jose, Murilo
September 28, 2016
1
Homoskedasticity versus Heteroskedasticity
Recall last week we learned about the 7 SLR assumptions
1. The relationship between
X
and
Y
is linear, so
yi = 0 +
Review MT1 - Econ 140
GSI: Carla, Caroline, Dario, Jose and Murilo
1
Problems
1.1
[True or False]
You have collected data on the average weekly amount of studying time (T) and grades (G) from the peers at your
college. Changing the measurement from minut
Econ 140 (Fall 2016) Section 3
GSIs: Carla, Caroline, Dario, Jose, Murilo
September 7, 2016
1
Estimators and Desirable Properties
Up to this point, weve been in population land discussing notions of probabilities and parameters that
summarize certain feat
3.1. Assumptions:
SLR1. (Linear in Parameters) The relation between X and Y is linear
y = 0 + 1x +u
st
This 1 assumption defines the population model.
SLR2. The variable X is non-random across samples. The Xs are nonstochastic
variables whose values are f
Final Review Notes Part II
Alessandra, Byoungchan, Caroline, and Nick
Instrument Variables
It is about violation of the MLR assumption 2 that E u! ! , !" = 0.
Q) What is the problem with the OLS estimator when it