Homework 6 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1) Consider the following multiple linear regression model:
(Equation 1)
You want to test the null hypothesis that neither
nor
has an effect on
. You
have a sample of size n = 55.
EC 320
Spring 2013
Homework 3
Due: Friday, Week 4 (4/26), 12:00 PLC 517 or during lab. Please show all work for full
credit. Any hand written assignments must be legible for credit to be assigned.
Analytical Section
1) Consider the simple linear regressio
Homework 2
Economics 320 Winter 2013
Due January 23
Name:
Points:
/20
I. (5 points) Suppose you have 30 observations from a normal distribution. The sample mean is
15 and the variance of X is 25. You want to test whether the sample mean is significantly
d
Homework 4
EC 320
Professor Piger
Fall 2012
Due: Tuesday, October 23
Analytical Exercises
1) Suppose that the p-value for a null hypothesis is 0.03. Which of the following is true?
Give a brief justification for your answer.
a) You reject the null hypothe
Homework 1
Economics 320 Summer 2012
Due June 29
Name:
Points:
/30
I. (7 points) You are drawing cards out of a 30 card deck. The following table reports the value
of each type of card and the number of that type in the deck.
Value Number
1
6
2
7
3
6
4
3
Homework 4 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1) The answer is choice c. Since the p-value is greater than 0.01, we fail to reject at the
1% significance level. But, since the p-value is less than 0.05, we reject at the 5%
sig
Homework 3
Economics 320 Winter 2013
Due January 28
Name:
Points:
/20
I. (5 points) Consider a sample of size n = 3 that includes observations of a dependent variable Y
and an independent variable X:
Observation Number
1
2
3
Value of Y
4
4
7
Value of X
-4
Homework 1
Economics 320 Winter 2013
Due January 14
Name:
Points:
/20
Read This First: Homework in this course will include both analytical and computer exercises.
The computer exercises will involve work with statistical software packages. It is expected
Homework 1 Solutions
EC 320
Professor Piger
Fall 2012
1) The experiment is a roll of two dice, of which there are 36 different equally likely
outcomes. The random variable X is defined as the absolute value of Dice 1 minus Dice
2. There are then 6 differe
Homework 7 Key
I.
A: II
B: III
C: I
D: IV
E: III
F: II
II.
()
()
A: ( )
()
B: No, the remaining log terms imply it is not linear in variables.
C: A one percent increase in X leads to a
percent decrease in Y.
D:
=
(
)
(
)
(
)
()
=
III.
A: See code
B: See t
Homework 1
EC 320
Professor Piger
Fall 2012
Due: Tuesday, October 2
Read This First: Homework in this course will include both analytical and computer
exercises. The computer exercises will involve extensive work with statistical software
packages. It is
Homework 1
Economics 320 Summer 2014
Due June 27 (in lab)
Please show all your work to receive credit. Correct answer with no work will not receive partial
credit.
I. (7 points) You are drawing cards out of a 30 card deck. The following table reports the
Homework 7
EC 320
Professor Piger
Fall 2012
Due: Tuesday, November 20
Analytical Exercises
1) Youve been hired by the Presidents Office at the UO to help reduce damage done to
dorms by rowdy students. Your first step is to use regression analysis to study
Homework 3
EC 320
Professor Piger
Fall 2012
Due: Tuesday, October 16
Analytical Exercises
1) Consider the simple linear regression model:
Yi = 1 + 2 X i + ui
Recall that the OLS estimator for the parameter 1 is:
Show that the formula for b1 can equivalent
Homework 5 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1) Data was collected from a random sample of 220 home sales from a community in
2003. Let P denote the selling price (in $1000), Bdr denote the number of bedrooms,
Bath denote the
Midterm Solutions (Blue Form)
EC 320
Professor Piger
Fall 2012
Solution to Question 1
a) The population means of E1 and E2 are:
E ( E1) = 11.6*0.2 + -4.0*0.5 + 5.6*0.3
= 2.32 + -2 + 1.68 = 2.0
E ( E 2) = -4.0*0.2 + 3.0*0.4 + 4.0*0.4
= -0.80 + 1.20 + 1.60
Statistical Properties of the OLS Estimator
EC 320
Harold Cue1
1 Slides graciously furnished by Professor Jeremy Piger with some modication. Any
remaining errors are my own.
1/1
Statistical Properties of the OLS Estimator
Readings: Dougherty Chapter 2
Th
Introduction to Regression Analysis
EC 320
Harold Cue1
1 Slides graciously furnished by Prof. Jeremy Piger. Any remaining errors are my
own.
1/36
Introduction to Regression Analysis
Readings: Dougherty Chapter 1
Regression Analysis
Simple Linear Regress
Dummy Variables
EC 320
Professor Jeremy Piger
1/29
Dummy Variables
Readings: Dougherty Chapter 5
Quantitative vs. Qualitative Information
Uses of Dummy Variables
Dummy Variables with Multiple Categories
The Dummy Variable Trap
Multiple Sets of Dummy
Homework 2
EC 320
Professor Piger
Fall 2012
Due: Tuesday, October 9
Analytical Exercises
1) Consider a sample of size n = 3 on a dependent variable Y and an independent
variable X:
Observation Number
Value of Y
Value of X
1
4
-4
2
4
2
3
7
2
Consider the f
Statistical Properties of the OLS Estimator
EC 320
Professor Jeremy Piger
1/23
Statistical Properties of the OLS Estimator
Readings: Dougherty Chapter 2
The Classical Assumptions
Representing the OLS Estimator in Terms of Random and
Nonrandom Components
Final
Econ 320
Summer 2012
Name:_
I. True/False (28 points, 2 points each)
1. T
F
It is possible for the model
to have a higher value
than the model
. (Assume that the Y
values are identical in both models as are the
values)
2. T
F
An F test can be used t
Homework 5
EC 320
Professor Piger
Fall 2012
Due: Tuesday, November 6
Analytical Exercises
1) Data was collected from a random sample of 220 home sales from a community in
2003. Let P denote the selling price (in $1000), Bdr denote the number of bedrooms,
Homework 3 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1) The equation for the OLS estimator of the intercept is:
(1)
Also, we derived in class that:
(2)
Substituting (2) into (1) gives us:
Multiplying through by
gives us:
(3)
Now:
(4)
Homework 8 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1) Stock market investors give considerable attention to a firms quarterly earnings
announcement, at which the firm releases its quarterly accounting earnings.
Suppose we are inter
Homework 7 Solutions
EC 320
Professor Piger
Fall 2012
Analytical Exercises
1)
a) Solution: The t-statistics for these two null hypotheses are:
For
For
The degrees of freedom are 6, and the 5% critical value is 2.45. Since the
absolute value of both t-stat
Economics 320: Econometrics
University of Oregon
Department of Economics
Fall 2016
Instructor: Rosie Mueller
Office: PLC 430
E-mail: rosiem@uoregon.edu
Lectures: Tues, Thurs 8:30-9:50 AM, McKenzie 240C
Office Hours: Mon: 3:00-5:00 PM in PLC 414
and by app
Introduction
Gasoline Expenditure on Income and Family Size
log (Gasi ) = 0 + 1 log (Expi ) + 2 log (FamilySizei ) + ui
An increase in of total expenditure of 1%, increases gasoline expenditure
by 0.68%.
EC 320
Simple Regression Analysis
1
Introduction
Ga
EC 320
Instructor: Rosie Mueller
Fall 2016
Midterm Practice Questions
1. Ordinary Least Squares finds a linear relationship between a dependent variable Y and
independent variables X by
a) Minimizing the Total Sum of Squares of the regression
b) Minimizin
University of Oregon
Department of Economics
Rosie Mueller
Fall 2016
Homework 6
EC 320: Econometrics
Due in Lab Week of 11/14
Please type or write neatly your answers to the following questions on a separate sheet of
paper. Points may be deducted for assi
University of Oregon
Department of Economics
Rosie Mueller
Fall 2016
Homework 7
EC 320: Econometrics
Due in Lab Week of 11/28
Reminder: There is no lab the week of 11/21
Please type or write neatly your answers to the following questions on a separate she