Face Value
Annual Coupon Rate
Years to Maturity
Paymment Frequency
Value of Bond
$100.00
$100.00
$100.00
0.75%
1.375%
1.625%
2
5
10
2
2
2
$100.00
$99.61
$98.94
1/1/2010
1/1/2010
1/1/2010
12/31/2011 12/31/2014 12/31/2019
0.748%
1.456%
1.741%
Yields to Matu
STAT 420 Homework 5
1. Dating (without R)
a.
r=
( x x )( y y )
(x x )
2
( y y )
2
=
27
24
40
= 0.87142.
b. Method 1 begins by calculating the t-test statistic.
t=
r n2
1 r
2
=
0.87142
62
1 0.87142
2
3.553.
There are n 2 = 4 degrees of freedom. According
STAT 420 Homework 3
1. Time Use (without R)
For this exercise you are not to use R or any other software to solve the exercises. A calculator is
allowed.
You are given a random sample of seven participants who participated in a large behavioral
study. Amo
STAT 420 Homework 4
1. Restaurant Wait Times (without R)
For this exercise you are not to use R or any other software to solve the exercises. A calculator is
allowed.
A local fast food restaurant tracks certain data with regard to customer orders in order
STAT 420 Homework 5
1. Dating (without R)
For this exercise you are not to use R or any other software to solve the exercises. A calculator is
allowed.
A students wonders if people of similar heights tend to date each other. She measures herself,
her room
STAT 420 Homework 6
1. Prostate Data (with R)
The dataset prostate comes from a study on 97 men with prostate cancer who were
due to receive a radical prostatectomy. The data frame has 97 rows and 9 columns:
lcavol
log(cancer volume)
lweight
log(prostate
ti 0 i3 a} if; is ii a; a} ii a): ti ii U U ii ii ii ii ii ii ii ii ii iii ii it) ll is as «a
Stat 100 Exam 2 Fall 2013
3‘" RINT NAME
(Last name)
CIRCLE SECTION
(First name)
Cl 12:30 am 81330 pm
Write answers in appropriate blanks. When no blanks are p
l
a at a) at at it} at a) a) at a) a; ti at a,» (It? a»
Stat 100 Exam 2 Fall 2014
STAT 100 EXAM 2
(Last name) (First name)
Circle your Section: Cl 12:30pm Laska 81 3:30pm Laska Albeit Online
Write answers in appropriate blanks. When no blanks are p
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StatleO Exam 2 Fl Floor - Spring 2014
STAT 100 EXAM 2
RINT NAME
’ (Last name) (First name)
Write answers in appropriate
Start Page 14
Stat 100 Exam 1
Question 1 (6 points)
A recent study tested whether the prayers of a large group of strangers could help patients undergoing a critical heart surgery. The
subjects were 18,000 patients undergoing coronary artery bypass surger
i; c; ‘ s “9 «so» i E 2/
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Queslion i {6 3323‘?“ W
Researchers tracked H9380 moi: and women over e 39 year period and found that those wizo ale nuts every {lay weso 20 percent
less likely to éio than ihGSe who nev
STAT 420 N1
Spring 2013
Homework #7
(due Monday, March 25, by 4:30 p.m.)
1.
For the prostate data, fit a model with lpsa as the response and the other
variables as predictors.
a)
Implement the Backward Elimination variable selection method to determine th
STAT 420 N1
Spring 2013
Name
Exam 1
ANSWERS
.
( part 2 )
No credit will be given without supporting work.
1. (4) Suppose a complete second-order model
Y = 0 + 1 x1 + 2 x2 + 3 x3 + 4 x4 + 5 x5 + 6 x6 +
was fit to n = 27 data points.
> sum( lm( y ~ 1 )$res
STAT 420 N1
Spring 2013
Name
Version A
Page
ANSWERS
Earned
Exam 1
2
Be sure to show all your work; your
partial credit might depend on it.
3
4
No credit will be given
without supporting work.
5
Place your answers
in the space provided.
The exam is closed
STAT 420 N1
Spring 2013
Name
Version B
Page
1
2
ANSWERS
.
Exam 2
Points
Be sure to show all your work; your
partial credit might depend on it.
No credit will be given
without supporting work.
3
4
5
6
Place your answers
in the space provided.
The exam is c
STAT 420 N1
Spring 2013
Name
Version A
Page
1
2
ANSWERS
.
Exam 2
Points
Be sure to show all your work; your
partial credit might depend on it.
No credit will be given
without supporting work.
3
4
5
6
Place your answers
in the space provided.
The exam is c
STAT 420 N1
Spring 2013
Name
Version B
Page
ANSWERS
Earned
Exam 1
1
Be sure to show all your work; your
partial credit might depend on it.
2
3
No credit will be given
without supporting work.
4
Place your answers
in the space provided.
The exam is closed
STAT 420 N1
Spring 2013
Name
Exam 1
ANSWERS
.
( part 2 )
No credit will be given without supporting work.
1. (4) Suppose a complete second-order model
Y = 0 + 1 x1 + 2 x2 + 3 x3 + 4 x4 + 5 x5 + 6 x6 +
was fit to n = 27 data points.
> sum( lm( y ~ 1 )$res
STAT 420 N1
Spring 2013
Homework #12
(due Thursday, May 2, by 4:30 p.m.)
1.
Consider the AR ( 2 ) process
Yt = + 1 (Yt 1 ) + 2 (Yt 2 ) + et .
Based on a series of length N = 80, we observe , y 78 = 148, y 79 = 146, y 80 = 143,
y = 150.
a)
Suppose r 1 = 0.
STAT 420 N1
Spring 2013
Homework #8
(due Friday, March 29, by 3:00 p.m.)
1.
Do NOT use a computer for this problem. Show all work.
( That is, do NOT use a computer at first, but then use it anyway to double-check your work. )
The data below represent the
STAT 420
Spring 2013
Homework #11
(due Friday, April 26, by 3:00 p.m.)
1.
Consider the AR ( 2 ) processes
&
&
&
Y t 0.9 Y t 1 + 0.2 Y t 2 = e t
where cfw_ e t is zero-mean white noise ( i.i.d. N ( 0,
a)
2
&
e ) ), Y t = Y t .
Determine whether this mode
STAT 420
Fall 2012
Homework #6
(due Monday, March 11, by 4:30 p.m.)
1.
The data in the table below came from a recent time study of a sample of 15
employees performing a particular task on an automobile assembly line.
Time to Assemble,
y (minutes)
10
20
1
STAT 420 N1
Spring 2013
Homework #9
(due Friday, April 5, by 3:00 p.m.)
1.
Do NOT use a computer for this problem.
In order to compare the average GPA for the members of four fraternities at Anytown
State University, six students were randomly chosen from
STAT 420 N1
Spring 2013
Homework #10
(due Friday, April 19, by 3:00 p.m.)
1.
In order to compare the average GPA for the members of four fraternities at Anytown
State University, seven students were randomly chosen from each of the four fraternities
( Del
STAT 420 N1
Spring 2013
Homework #5
(due Friday, March 1, by 3:00 p.m.)
1.
The dataset prostate comes from a study on 97 men with prostate cancer
who were due to receive a radical prostatectomy. The data frame has 97 rows
and 9 columns:
lcavol
log(cancer
STAT 420 N1
Spring 2013
Homework #4
(due Friday, February 15, by 3:00 p.m.)
1.
Do NOT use a computer for this problem.
y
x1
x2
Consider the following salary data for 10
tenure-track professors in the Department
of Philosophical Engineering at Anytown
Stat
STAT 420
Spring 2013
Homework #3
(due Friday, February 8, by 3:00 p.m.)
1.
Do NOT use a computer for this problem.
A student is studying for Exam P (the first Actuarial
Science exam). He claims that drinking beer has no
effect on the amount of time it tak
Stat 410 Probabilty and Statistics II
Lecture 2
cumulative distribution function
c.d.f.
F( x ) = P( X x)
discrete
continuous
x
f y d y
p y
y x
Example 1:
x
p( x )
F( x )
1
2
3
4
0.2
0.4
0.3
0.1
0.2
0.6
0.9
1.0
F( x ) =
0
0.2
0.6
0.9
1
x 1
1 x 2
2 x3
3
Stat 410 Probabilty and Statistics II
Lecture 2
Stat 410 Probabilty and Statistics II
Find F(x), E(X), Var(X) and moment generating function M(t) for Examples 1-4.
Example 1:
x
p( x )
1
2
3
4
x p( x )
0.2
0.4
0.3
0.1
Example 2:
2
fX( x ) = 3x
0 x 1
o.w.
0