The objectives of this weeks labs are to:
Demonstrate the use of the equation feature of Microsoft Word. As noted on the
course outline, your assignments must be presented in typed form.
Provide an introduction to GRETL (opening data files, obtaining de
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2013
Midterm Examination # 2 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two sent
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2011
Assignment 1 - Suggested Solutions
Exercise 5.1
Solution: By denition, the range of a relation K from A to B is:
Range(K) = cfw_b B : a
Review Questions: Chapters 6 and 7
Linear Regression with Multiple Regressors
1) In the multiple regression model, the adjusted R2, R 2
.a cannot be negative.
.b will never be greater than the regression R2.
.c equals the square of the correlation coeffic
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Final Examination
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Definitions
Define 8 of the follow
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 1 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two se
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Midterm Examination # 2
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two sentences or less.
1. (
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 1
Time: 1 Hour 20 Minutes
Section A: Definitions
Define 4 of the following 5 terms in two sentences or less.
1. (
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Winter 2013
Final Examination - Suggested Solutions
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Denitions
ECON 3Q91
Mathematical Methods for Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2013
Final Examination - Suggested Solutions
Time: 3 Hours
This examination will not be deposited in the library reserve.
Section A: Definitions
The objective of this weeks labs is to demonstrate the use of GRETL to transform
variables and use the transformed variables to estimate the parameters of a simple linear
regression model and test the appropriate hypotheses (using both the significance
ap
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 1 - Suggested Solutions
Due Date: September 25, 2014 9:30am
1. Suppose X is a partition of X. Define the relation:
R = cfw_(x,
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 2
Due Date: November 6, 2014 9:30pm
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 2 - Suggested Solutions
Due Date: November 6, 2014 9:30am
1. Prove that for all n N, if A is a n n triangular matrix then |A|
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Assignment 3
Due Date: Dec. 2, 2014 9:30am
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
don
Chapter 9
The Theory of Linear Equations
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.0.3.h
Compiled: July 22, 2013 at 5:00am
Copyright 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave., St
Vectors and Matrices
Lester M.K. Kwong
Created: August 6, 2004
This version: October 7, 2008
Simple Operations (+, , and ).
1
Economic models often involve a system of linear equations. For example,
in econometrics, the ordinary least squares (OLS) involv
Chapter 8
Matrices as Linear Transformations
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.0.3.h
Compiled: July 22, 2013 at 5:00am
Copyright 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave.
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2015
Assignment 3
Due Date: Dec. 7, 2015 11:00am
Please note that according to the Undergraduate Calendar, plagiarism means presenting work
do
Vectors and Matrices
Lester M.K. Kwong
Created: August 6, 2004
This version: October 7, 2008
Simple Operations (+, , and ).
1
Economic models often involve a system of linear equations. For example,
in econometrics, the ordinary least squares (OLS) involv
Chapter 7
Vector Space
Lester M.K. Kwong
Department of Economics
Brock University
Version: 3.2.3.O
Compiled: September 30, 2013 at 2:02pm
Copyright c 2004-2013 Lester M.K. Kwong. Department of Economics, Brock
University, 500 Glenridge Ave., St. Catharine
The objective of this weeks labs is to demonstrate the use of GRETL to transform
variables and use the transformed variables to estimate the parameters of a simple linear
regression model and test the appropriate hypotheses (using both the significance
ap
Review Questions: Chapters 6 and 7
Linear Regression with Multiple Regressors
1) In the multiple regression model, the adjusted R2, R 2
.a cannot be negative.
.b will never be greater than the regression R2.
.c equals the square of the correlation coeffic
Review Questions: Chapters 4 and 5
Linear Regression with One Regressor
1)
The regression R 2 is defined as follows:
ESS
a.
TSS
RSS
b.
TSS
n
c.
(Yi - Y )( X i - X )
i=
1
n
n
(
(
Y - Y ) X
2
i
i=
1
i
- X )2
i=
1
SSR
d.
n- 2
2)
Which of the following statem
Review Questions: Chapter 8
Nonlinear Regression Functions
Multiple Choice
1) The interpretation of the slope coefficient in the model ln(Yi ) 0 1 ln( X i ) ui
is as follows:
.a a 1% change in X is associated with a 1 % change in Y.
.b a change in X by on
Review Questions: Chapter 8
Nonlinear Regression Functions
Multiple Choice
1) The interpretation of the slope coefficient in the model ln(Yi ) 0 1 ln( X i ) ui
is as follows:
.a a 1% change in X is associated with a 1 % change in Y.
.b a change in X by on
Simple linear regression model
y i = 0 + 1 xi + u i i=1,2,n
i denotes the i-th observation
n is the number of observation
x is the independent variable (regressor)
y is the dependent variable (regressand)
u is the error term (captures variables other than
Multiple Regression
Specification of a multiple regression model:
Model: yi = 0 + 1x 1i + 2 x 2i + . + k x ki + ui
Note: a total of (k+1) parameters needs to be estimated; hence, the number of degrees of
freedom is n-(k+1).
Interpretation of Coefficients:
Economics 3Q91
Mathematical Methods in Economics
Lester M.K. Kwong
Department of Economics
Brock University
Fall 2014
Midterm Examination # 2 - Suggested Solutions
Time: 1 Hour 20 Minutes
Section A: Denitions
Dene 4 of the following 5 terms in two senten