Homework 2 Answer Key
1. i.
and
( )
( )
( )
and
)
(
. They are not identical
(
)
( )
They are not identical.
)(
(
ii.
)
( )
( )
)
They are identical.
)
(
. They are identical.
)
(
)(
(
and
)
(
iii. Model II may be easier to compute without statisti
Econ 466 Spring 2013
Homework 2
1. Consider the following formulation of the two-variable regression:
Model I: Yi = 1 + 2 Xi + ui
Model II: Yi = 1 + 2 (Xi X) + ui
(i) Find the estimators of 1 and 1 . Are they identical? Are the variances identical?
(ii) F
ECON 466 - INTRODUCTION TO ECONOMETRICS
Spring 2015
Instructor: Professor Subal Kumbhakar
Class Room: SL 306
Office: Library Tower # 1009
Class Time: M 10:50-12:50, W 10:50-11:50
Office Hours: M 9:40-10:40, W 9:40-10:40, 12:20-1:20
Phone: 7-4762, E-mail:
Homework 1 Answer Key
1 (i) $566.
(ii) The two middle numbers are 480 and 530; when these are averaged, we obtain 505, or $505.
(iii) 5.66 and 5.05, respectively.
(iv) The average increases to $586 while the median is unchanged ($505).
2. (i) This is just
Homework 6 Answer Key
1. The estimated equation is:
i.
The coefficient on black implies that, at given levels of the other explanatory variables,
black men earn about 18.8% less than nonblack men. The t statistic is about -4.95, and so
it is very statisti
Economics 466: Introductory Econometrics
State University of New York at Binghamton
Department of Economics
Fall 2011
Midterm I
The exam consists of three questions on three pages. Each question is of equal value.
1. Consider the residuals obtained via an
Exam II:
Econ 466
Yoon 3-26-14
Student Name: _ Use the back page if you need
more space.
Justify your answers by showing your work. You assume all the assumptions of
the standard linear model .
1. The true regression model is y = 0 + 1 1 + 2 2 + + + and t
Econ 466 Spring 2016
Homework 2 Answer Key
1. Consider the following formulation of the two-variable regression:
Model I: Yi = 1 + 2 Xi + ui
+ ui
Model II: Yi = 1 + 2 (Xi X)
(i) Find the estimators of 1 and 1 . Are they identical? Are the variances ident
Econ 466 Spring 2016
Homework 3 Answer Key
1. Use the data in SLEEP75.RAW from Biddle and Hamermesh (1990) to study whether
there is a tradeoff between the time spent sleeping per week and the time spent in
paid work. We could use either variable as the d
Econ 466 Spring 2016
Homework 3
1. Use the data in SLEEP75.csv from Biddle and Hamermesh (1990) to study whether
there is a tradeoff between the time spent sleeping per week and the time spent in
paid work. We could use either variable as the dependent va
Econ 466 Spring 2013
Homework 2
1. Consider the following formulation of the two-variable regression:
Model I: Yi = 1 + 2 Xi + ui
Model II: Yi = 1 + 2 (Xi X) + ui
(i) Find the estimators of 1 and 1 . Are they identical? Are the variances identical?
(ii) F
Econ 466 Spring 2016
Homework 2
1. Consider the following formulation of the two-variable regression:
Model I: Yi = 1 + 2 Xi + ui
+ ui
Model II: Yi = 1 + 2 (Xi X)
(i) Find the estimators of 1 and 1 . Are they identical? Are the variances identical?
(ii)
Econ 466 Spring 2016
Homework 4 Answer Key
1. The data in WAGE2.csv on working men was used to estimate the following equation:
d = 10.36 0.094sibs + 0.131meduc + 0.210f educ
educ
n = 772, R2 = 0.214
where educ is years of schooling, sibs is number of sib
APPENDIX C
SOLUTIONS TO PROBLEMS
C.1 (i) This is just a special case of what we covered in the text, with n = 4: E(
Y
) = and Var(
) = 2/4.
Y
(ii) E(W) = E(Y1)/8 + E(Y2)/8 + E(Y3)/4 + E(Y4)/2 = [(1/8) + (1/8) + (1/4) + (1/2)] = (1 +
1 + 2 + 4)/8 = , which
Econ 466 Spring 2013
Homework 4
1. Consider an equation to explain salaries of CEOs in terms of annual rm sales, return
on equity, (roe, in percentage form), and return on the rms stock (ros, in percentage form):
log(salary) = 0 + 1 log(sales) + 2 roe + 3
APPENDIX B
SOLUTIONS TO PROBLEMS
B.1 Before the student takes the SAT exam, we do not know nor can we predict with certainty
what the score will be. The actual score depends on numerous factors, many of which we
cannot even list, let alone know ahead of
Econ 466 Spring 2013
Homework 4
1. Consider an equation to explain salaries of CEOs in terms of annual rm sales, return
on equity, (roe, in percentage form), and return on the rms stock (ros, in percentage form):
log(salary) = 0 + 1 log(sales) + 2 roe + 3
Econ 466 Spring 2011
Homework 6
(Due date: April 4)
1. Use the data in WAGE2.RAW for this exercise.
(i) Estimate the model
log(wage) = 0 +1 educ+2 exper+3 tenure+4 married+5 black+6 south+7 urban+u
and report the results in the usual form. Holding other f
Econ 466 Spring 2010
Homework 5
(Due date: March 18th.)
1. Using the data in RDCHEM.RAW, the following equation was obtained by OLS:
(i) At what point does the marginal eect of sales on rdintens become negative?
(ii) Would you keep the quadratic term in t
CHAPTER 11
TEACHING NOTES
Much of the material in this chapter is usually postponed, or not covered at all, in an introductory
course. However, as Chapter 10 indicates, the set of time series applications that satisfy all of the
classical linear model ass
Econ 466 Spring 2010
Homework 5 Answer Key
1. Using the data in RDCHEM.RAW, the following equation was obtained by OLS:
(i) At what point does the marginal eect of sales on rdintens become negative?
The turnaround point is given by 1 /(2|2 |), or .0003/(.
# =
# What is R?
# R is a system for statistical analyses and graphics.
# - In this class, we will R for calculation, variable summary (generation), regression.
# R is both a software and a language.
# R or Rstudio
# -
# Basic elements in R: objects
# - d
: 100, Time: 1 hr 20 min
Answer all questions. ifferent weight. Good Luck!
+X1. +ul._ i: l,.,n.
1. Consider the model: K. = n
nformation (summation is
You are given the following i
n = 100, EX = 500, 2r = 270
2(X fr)2 = 3400, 20 YT = 2980
2(X X) (Y 17) =
Hi9
: 8'3
1 $45 :- '1 A ; '1
2 - "Tar , QCL = 5 WA, r 71)
=- E: z [Ki-7?)
'= w) x 2; = 47
11.1 4%0 = am
($42 9f 9W4: um-cmm :m 7 can be pan-meal by x,
I
h; = R CFWM Hw1,m:0)
30-31 .
I
A
a CM?) Q'QJ/ZI) : :01),
In I
62.
VVa-r() : ._.-
17h - - I b)
ECON 466 MIDTERM I ANSWER KEY
LIANG LIU
Question 1.
1. (a) Compute the t-values in the 4th and 8th columns of the above table.
Regressor
t
Regressor
t
comp
5
ln(comp)
5.253
staff
1.204
staff
1.131
enroll
-1
ln(enroll)
-1.793
intercept
0.372
intercept
-4.7
Spring 2005
Econ 466
Midterm Examination 1
Total points: 125
Time: 1 hour and 45 minutes
Answer all questions. Write clearly and legibly. Good Luck!
1. Using data on 33 observations, the following model was estimated
ln Y 0 1 ln X 1 2 ln X 2 3 X 3 u ,
whe