Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #4 VERSION A
Multiple Regression With Time-Series Data
April 24, 2008
INSTRUCTIONS: This exam is closed-book, closed-notes.
Econometrics Problem Sets
William M. Boal
Problem Set 8
"Two-Variable Regression: Algebraic Properties"
(8.1) [Regression without an intercept] Consider the two-variable model without an
intercept, that is y = x + . Notice that there is only one parameter
Econometrics Problem Sets
William M. Boal
Problem Set 9
"Two-Variable Regression: Gauss-Markov Properties"
(9.1) [Error term with nonzero mean] Consider the linear model
(i)
y = 1 + 2 x + ,
where 1 and 2 are unknown parameters and is a random error term,
Econometrics Problem Sets
William M. Boal
Problem Set 15
"Multiple Regression: Heteroskedasticity"
(15.1) [Consequences of heteroskedasticity] True, false, or uncertain? Explain your answer.
a. Heteroskedasticity causes the least squares estimators for th
Econometrics Problem Sets
William M. Boal
Problem Set 21
"Time Series: Testing for Unit Roots"
(21.1) [Dickey-Fuller test] Consider the two regression models
(i) yt = 1 + 2 yt-1 + error term
(ii) yt = 1 + 2 yt-1 + error term .
a.
b.
Show that if 1= 1 and
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
FINAL EXAMINATION ANSWER KEY
May 13, 2008
VERSION A
I. MULTIPLE CHOICE: [1 pts each6 pts total]
(1)a. (2)b. (3)a. (4)e. (5)a. (6)d.
II. MULTIPLE
Introduction to Econometrics (Econ 107)
Drake University, Spring 2010
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #3 VERSION A
Multiple Regression With Cross-Section Data
March 26, 2010
INSTRUCTIONS: This exam is closed-book, closed-notes
Econometrics Problem Sets
William M. Boal
Problem Set 2
"Introduction: Fitting Lines to Data"
(2.1) [Meaning of slope] Suppose the slope of the relationship between x and y is
given by y/x = 3.
a. If x increases by 5 units, does y increase or decrease? By
Econmetrics Problem Sets
William M. Boal
Problem Set 13
"Multiple Regression: Gauss-Markov Properties
and Normal Error Terms"
(13.1) [Analysis of variance table, R2, F-test] A regression program computed the
following analysis-of-variance (ANOVA) table: U
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #3 ANSWER KEY
Multiple Regression With Cross-Section Data
April 3, 2008
VERSION A
I. MULTIPLE CHOICE: [2 pts each18 pts tota
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #3 VERSION A
Multiple Regression With Cross-Section Data
April 3, 2008
INSTRUCTIONS: This exam is closed-book, closed-notes.
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #2 VERSION A
Two-Variable Regression
March 4, 2008
INSTRUCTIONS: This exam is closed-book, closed-notes. You may use a calcu
Introduction to Econometrics (Econ 107)
Drake University, Fall 2007
William M. Boal
FINAL EXAMINATION ANSWER KEY
December 18, 2007
VERSION A
I. MULTIPLE CHOICE
(1)e. (2)d. (3)d. (4)b. (5)c. (6)a. (7)a.
(11)b. (12)d. (13)b. (14)f. (15)b. (16)d.
II. MULTIPL
Econometrics Problem Sets
William M. Boal
Problem Set 6
"Statistics: Samples and Estimators"
(6.1) [Sample versus population] You are trying to explain the concept of estimation to a
friend who has never taken statistics.
a. If an estimator is just a rand
Econometrics Problem Sets
William M. Boal
Problem Set 5
Probability: Important Distributions"
(5.1) [Bernoulli random variable] Suppose the variable X is a Bernoulli random variable,
equal to 1 with probability P, and equal to 0 with probability (1-P). He
Econometrics Problem Sets
William M. Boal
Problem Set 19
"Time Series: Testing and Correcting for Serial Correlation"
(19.1) [Durbin-Watson test] The time-series regression
water consumptiont = 1 + 2 populationt + t
was estimated with 30 annual observatio
Econmetrics Problem Sets
William M. Boal
Problem Set 14
"Multiple Regression: More Tests and Functional Forms"
(14.1) [Quadratic functional form] Suppose we have estimated the following equation
for average cost as a function of output, using a sample of
Introduction to Econometrics (Econ 107)
Drake University, Fall 2007
William M. Boal
Signature:
Printed name:
FINAL EXAMINATION VERSION A
December 18, 2007
INSTRUCTIONS: This exam is closed-book, closed-notes. You may use a calculator for this
exam, but no
Econometrics Problem Sets
William M. Boal
Problem Set 17
"Time Series: Functional Forms, Trends, and Seasonality"
GENERAL INSTRUCTIONS: Assume for this problem set that all error terms are
homoskedastic, not serially-correlated, and normally-distributed.
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #2 ANSWER KEY
Two-Variable Regression
March 4, 2008
VERSION A
I. MULTIPLE CHOICE: [2 pts each12 pts total]
(1)c. (2)e. (3)d.
Introduction to Econometrics (Econ 107)
Drake University, Spring 2010
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #2 ANSWER KEY
VERSION A
I. MULTIPLE CHOICE
(1)d.
(2)b.
(3)d.
(4)b.
II. SHORT ANSWER
(1)
a. true
(2)
a. 6
(3)
a. 0
(4)
a. not
Econometrics Problem Sets
William M. Boal
Problem Set 1
"Introduction: Subscripts and Summation Symbol"
(1.1) [Summation operator] Use the following dataset, consisting of three observations
on x, to compute the formulas below.
Observation number (i)
xi
8
Econometrics Problem Sets
William M. Boal
Problem Set 18
"Time Series: Models of Serial Correlation"
(18.1) [MA(1) process] Consider the first-order moving average process:
ut = t + 0.4 t-1
t denotes an independent, identically-distributed series with E(t
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #4 ANSWER KEY
Multiple Regression With Cross-Section Data
April 24, 2008
VERSION A
I. MULTIPLE CHOICE: [2 pts each18 pts tot
Introduction to Econometrics (Econ 107)
Drake University, Spring 2010
William M. Boal
Signature:
Printed name:
FINAL EXAMINATION VERSION A
May 11, 2010
INSTRUCTIONS: This exam is closed-book, closed-notes. You may use a calculator on this
exam, but not a
Econometrics Problem Sets
William M. Boal
Problem Set 20
"Time Series: Models of Highly Persistent Series"
(20.1) [Random walk]
a. Flip a coin thirty times (t=1,30) and compute xt as follows. Begin by setting x0 = 0.
Thereafter, add one if the coin comes
Econometrics Problem Sets
William M. Boal
Problem Set 7
"Statistics: Confidence Intervals and Hypothesis Tests"
(7.1) [Theory of hypothesis testing] The following table shows the probabilities of
various outcomes for a particular hypothesis test. Here H0
Econometrics Problem Sets
William M. Boal
Problem Set 22
"Time Series: Forecasting"
(22.1) [1-step-ahead forecast interval] We are trying to forecast tomorrow's ice-cream sales yt
using lagged ice-cream sales yt-1 and lagged temperature forecasts xt-1 fro
Econmetrics Problem Sets
William M. Boal
Problem Set 12
"Multiple Regression: Algebraic Properties"
(12.1) [Algebraic properties] Suppose we wish to estimate the following equation using a
random sample of 100 observations:
yi = 1 + 2 xi2 + 3 xi3 + 4 xi4
Econmetrics Problem Sets
William M. Boal
Problem Set 11
"Two-Variable Regression: Practical Issues"
(11.1) [Functional forms] Consider the following five equations. Assume x and y are
positive.
(i)
y=3+2x
(ii)
y = 3 + 2 (1/x)
(iii)
y = 3 + 2 ln(x)
(iv)
ln
Introduction to Econometrics (Econ 107)
Drake University, Spring 2008
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #1 VERSION A
Introduction and Statistics Review
February 14, 2008
INSTRUCTIONS: This exam is closed-book, closed-notes. You
Introduction to Econometrics (Econ 107)
Drake University, Spring 2010
William M. Boal
Signature:
Printed name:
MIDTERM EXAMINATION #2 VERSION A
Two-Variable Regression
February 26, 2010
INSTRUCTIONS: This exam is closed-book, closed-notes. You may use a c
Introduction to Econometrics (Econ 107)
Drake University, Spring 2010
William M. Boal
MIDTERM EXAMINATION #4 ANSWER KEY
VERSION A
I. MULTIPLE CHOICE
(1)c.
(2)d.
(7)f.
II. SHORT ANSWER
(1)
a. (iii)
(2)
a. (iv)
f. (viii)
(3)
a. yes
III. PROBLEMS
(1) [Finite
Econometrics Problem Sets
William M. Boal
Problem Set 16
"Time Series: Regression With Strictly Exogenous Errors"
(16.1) [Static model versus lagged model] For each of the following economic relationships,
determine which would be more sensible: a static
Econometrics Problem Sets
William M. Boal
Problem Set 4
"Probability: Moments"
(4.1) [Mean, variance, standard deviation] Suppose the random variable X takes just
three values, with the following probabilities.
Value of X
Probability
1
0.5
3
0.25
11
0.25