Homework 6
EC 320
Instructor: Tuan Nguyen
Winter 2016
Analytical Exercises:
1) Consider the following multiple regression model with parameters:
= 1 + 2 2 + 3 3 + + + (Equation 1)
Suppose you conduct an test for overall significance, that is, an test wit
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 3 Key
I.
(
A.)
)(
)(
(
)(
)
B.)
)
)
(
C.) TSS = (
ESS = (
D.)
(
(
(
)(
)
)
)
,
)
(
)
(
(
(
)
)(
)
)(
(
)
)
(
)(
(
(
)(
)(
)
(
)
)(
)
)
)
(
)
II.
A.) 176.39 Pounds
B.) 5.91 Pounds
III.
A).
Since ESS and RSS are both squared numbers, the top and b
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.
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 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 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 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 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 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 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 6 Key
I.
The first strategy may work if the omitted variable is relevant and should have been included in
the specification anyway, if that is not the case, including an additional variable can actually
make the multicollinearity problem worse if
EC 320
Spring 2013
Homework 1
Due: April 12
Please show all work for full credit. Hand written assignments must be legible for credit to be assigned.
1
Suppose you have a stack of four cards, numbered 1 to 4. Let X be a random variable equaling the
sum of
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 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
Econmetrics 320
Quiz 1 Spring 2015
Name: _
1.
T
F
2.
T
F
3.
T
F
4.
T
F
5.
6.
T
T
F
F
7.
T
F
8.
T
F
9.
T
F
Given all else is the same, the more variation in the Xs, the lower the variance
of the estimates.
If you have a model with two variables on the RHS
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
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
Homework 6 Solutions
EC 320
Professor Piger
Fall 2014
Analytical Exercises
1) The number of parameters in the bigger model (Equation 1) is m = 5. The number of
parameters in the smaller model (Equation 2) is k = 3. The F-statistic for this test is:
F=
(12
Hypothesis Testing
EC 320
Professor Jeremy Piger
1/47
Hypothesis Testing
Readings: Dougherty Review Chapter and Chapter 2
Null and Alternative Hypotheses
Testing the Null Hypothesis
Type I and Type II Errors, Power of a Test
t -tests
Condence Interva
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
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
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
4. a) EARNINGS measures current hourly earnings in $ reported at 1994. S measures years of
schooling. For earnings the sample mean is $18.346 and a std. Dev. of $10.723. For S the
sample mean is 14.548 years and a std. Dev. of 2.78 years
Variable
Obs Mean
Quiz 2
EC 320
Professor Piger
Spring 2017
NAME:_
Instructions:
1. Answer all questions below.
2. Write your answers in the space provided.
3. You have 40 minutes to complete the quiz.
4. You must show your work to receive credit.
5. There are 25 points po
Homework 2
EC 320
Professor Piger
Spring 2017
Due: In class on Tuesday, April 18
1) Consider a sample of size n = 3 on a dependent variable Y and an independent variable
X:
Observation Number Value of Y
1
4
4
2
3
7
Value of X
-4
2
2
Consider the following
Quiz 2 Solutions
EC 320
Professor Piger
Spring 2017
Blue Form
Solutions to Question 1
a) The estimated parameter on the variable Weekend_Days is 5 = 0.05 . This says that,
holding all other variables in the regression constant, the effect of having one ad