ECO374 HOMEWORK 1 ANSWER KEY
1. P ROBLEM 2.5 ( A - C )
Sample mean:
x=
1 30
xi = 31.41.
30 i
=1
Sample variance:
s2 =
30
1
(xi x)2 = 0.769.
30 1 i=1
Sample standard deviation
s=
s2 = 0.877.
2. P ROBLEM 2.12
Let X be the daily water consumption. We know X
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
a. The are not independent, because P( X = 0, Y = 0) = 0.1 = P( X = 0) P(Y = 0) =
0.4 0.4 = 0.16. (formula 3 pts, result 2 pts)
b. From the rst row we know that 1 + 0.1 = 0.4, so 1 = 0.3. From the rst column
we
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2014
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question sheet
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Winter 2013
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question she
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2012
Duration - 1 hours and 40 minutes
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the ques
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Any examples that make sense, e.g. distance to a nearby international airport, total
public park land size, crime rate.
1) i.i.d., 2) constant variance, 3) zero mean, 4) normal distribution. Note that ze
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2013
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question sheet
ECO374 MIDTERM EXAM SOLUTION FALL 2013
1. Q UESTION 1
1. (a). Because the four numbers in the mid cell has to add up to 1, therefore 1 = 0.4.
Now we calculate 2
2 = P(Y = 0) = P(Y = 0, X = 1) + P(Y = 0, X = 0) = 0.3 + 0.2 = 0.5.
This implies 3 = 1 2 = 0.5
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Population is all the students at UTM. (2 pts); sample is the students in the
classroom where the survey is conducted. (2 pts); random variable is a function which takes
value one if the student has an i
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Any examples that make sense, e.g. distance to a nearby international airport, total
public park land size, crime rate.
1) i.i.d., 2) constant variance, 3) zero mean, 4) normal distribution. Note that ze
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Winter 2015
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question she
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2015
Duration 3:10pm4:50pm
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question sheet.
UNIVERSITY OF TORONTO
Faculty of Arts and Science
Sample Exam
ECO374H1F
Duration - 2 hours
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question sheet.
Show all st
ECO374 Sample Final Exam Solution Fall 2013
Question #1
1.(a.)
H0 and H1 should have instead of x
The numerator of t should be x 1
The denominator of t should be
n instead of
n1
We should use the critical value tn1 from the t distribution table
/2
1.(b.)
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Winter 2013
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question she
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Population is all the second cup stores in GTA. (2 pts); y| x=1 is the average prot
of all GTA second cup stores located within half kilometer away from a subway station. (2
pts)
1. (b). The random varia
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2013
Duration 10:10am11:50am
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the question sheet
ECO374 MIDTERM EXAM SOLUTION FALL 2013
1. Q UESTION 1
1. (a). Because the four numbers in the mid cell has to add up to 1, therefore 1 = 0.4.
Now we calculate 2
2 = P(Y = 0) = P(Y = 0, X = 1) + P(Y = 0, X = 0) = 0.3 + 0.2 = 0.5.
This implies 3 = 1 2 = 0.5
UNIVERSITY OF TORONTO
Faculty of Arts and Science
ECO374 Midterm Exam, Fall 2012
Duration - 1 hours and 40 minutes
Read all of the following information before starting the exam:
Write you answers on the exam book provided, do note write them on the ques
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Population is all the second cup stores in GTA. (2 pts); y| x=1 is the average prot
of all GTA second cup stores located within half kilometer away from a subway station. (2
pts)
1. (b). The random varia
ECO374 MIDTERM EXAM SOLUTION FALL 2013
1. Q UESTION 1
1. (a). Population: all U of T students.
Sample: the students in the class where the survey was conducted.
Random variable: It is a mapping from sample space to cfw_0, 1. That is, if the students
rst l
Exercises for Week 3 and 4
Question 3.7
a. b1 = 24.6022 is the slope of the regression line which tells us that on average, each additional copier serviced
increases the number of minutes required to complete a service call by 24.6022 minutes. b0 = 11.464
ECO374 MIDTERM EXAM SOLUTION
1. Q UESTION 1
1. (a). Population: all the students at UTSC.
Sample: all the students in the class where researcher obtained data.
Random variable: it is a function that maps outcome to real numbers.
X (has at least one ipd2)
ECO374 Homework 2
Use data t3-8 Fresh detergent and answer following questions:
1
2
3
4
5
Find the sample regression equation relates demand and price
dierence.
Is the relationship signicant?
What is an interval estimate of b1 ?
Is the relationship positi
ECO374 Homework 1
Problem 2.5(a-c), 2.12, 2.13, 2.15 and 2.18.
Make sure you write down the formula which you use to calculate
the numbers (see example 2.5 and 2.9).
Due on September 27 in class.
ECO374 HOMEWORK 3 SUGGESTED ANSWER KEY
1. Problem 6.3 (a,b,c,d,h)
(a) According to the gure, it is likely that there is a linear trend. To conrm this, we need
to exam the statistical signicance of the trend regression.
(b) The seasonal variation remains c
ECO374 HOMEWORK 2 ANSWER KEY
1. P ROBLEM 1, T 3-8 F RESH DETERGENT DATA
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.889671764
R Square
0.791515848
Adjusted R 0.784069986
Standard E 0.316560873
Observatio
30
ANOVA
df
Regression
Residual
Total
Interce