Stat 602X Exam 2
Spring 2011
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
1
1. Below is a small p 2 classification training set (for 2 classes) displayed in graphical and
tabular forms (circles
2011-04-17
STAT602X
Homework 5
Keys
20. Figure 4.4 of HTF gives a 2-dimensional plot of the vowel training data (available on the
books website at http:/www-stat.stanford.edu/~tibs/ElemStatLearn/index.html or from
http:/archive.ics.uci.edu/ml/datasets/Con
Stat 602X Exam 2
Spring 2013
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
There are 15 questions/parts on the following pages (an entire "a)","b)", or "c)" constitutes a "part").
Do as many of t
Stat 602X Exam 1
Spring 2013
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
This is a very long exam consisting of 12 parts. I'll score it at 10 points per problem/part and add
your best 8 scores
Stat 602X Exam 2
Spring 2011
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
1
1. Below is a small p 2 classification training set (for 2 classes) displayed in graphical and
tabular forms (circles
Stat 602X Exam 1
Spring 2011
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
This is an extremely long exam. Do as much of it as you can in 2 hours. I'll score it 10 points per
page. Some pages wil
2011-01-27
STAT602X
Homework 1
Keys
1. Consider Section 1.4 of the typed outline (concerning the variance-bias trade-o in prediction).
Suppose that in a very simple problem with p = 1, the distribution P for the random pair (x, y) is
specied by
x U(0, 1)
4. Show the equivalence of the two forms of the optimization used to produce the fitted ridge
regression parameter. (That is, show that there is a t such that ridge ridge and a t such
t
ridge
that tridge t .)
Hint sent out by e-mail:
ridge
You may take
2011-03-16
STAT602X
Homework 4
Keys
14. Suppose that with p = 1,
(
y|x N
)
sin(12(x + .2)
,1
x + .2
and N = 101 training data pairs are available with xi = (i 1)/100 for i = 1, 2, . . . , 101. Vardeman
will send you a text le with a data set like this in
2011-04-15
STAT602X
Homework 6
Keys
Have a look at the paper ada: An R Package for Stochastic Boosting by Mark Culp, Kjell
Johnson, and George Michailidis that appeared in the Journal of Statistical Software. It provides
perspective and help with both the
2011-01-27
STAT602X
Homework 1
Keys
1. Consider Section 1.4 of the typed outline (concerning the variance-bias trade-o in prediction).
Suppose that in a very simple problem with p = 1, the distribution P for the random pair (x, y ) is
specied by
x U(0, 1)
Stat 602X Exam 2
Spring 2013
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
There are 15 questions/parts on the following pages (an entire "a)","b)", or "c)" constitutes a "part").
Do as many of t
Stat 602X Exam 1
Spring 2011
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
This is an extremely long exam. Do as much of it as you can in 2 hours. I'll score it 10 points per
page. Some pages wil
Stat 602X Exam 1
Spring 2013
I have neither given nor received unauthorized assistance on this exam.
_
Name Signed
Date
_
Name Printed
This is a very long exam consisting of 12 parts. I'll score it at 10 points per problem/part and add
your best 8 scores
2011-04-15
STAT602X
Homework 6
Keys
Have a look at the paper ada: An R Package for Stochastic Boosting by Mark Culp, Kjell
Johnson, and George Michailidis that appeared in the Journal of Statistical Software. It provides
perspective and help with both the
2011-04-17
STAT602X
Homework 5
Keys
20. Figure 4.4 of HTF gives a 2-dimensional plot of the vowel training data (available on the
books website at http:/www-stat.stanford.edu/~tibs/ElemStatLearn/index.html or from
http:/archive.ics.uci.edu/ml/datasets/Con
2011-03-16
STAT602X
Homework 4
Keys
14. Suppose that with p = 1,
(
y |x N
)
sin(12(x + .2)
,1
x + .2
and N = 101 training data pairs are available with xi = (i 1)/100 for i = 1, 2, . . . , 101. Vardeman
will send you a text le with a data set like this in
2011-02-22
STAT602X
Homework 3
Keys
9. Find a set of basis functions for the natural (linear outside the interval (1 , K ) quadratic
regression splines with knots at 1 < 2 < < K .
(10 pts) Based on HTFs construction, the general form for the truncated-pow
4. Show the equivalence of the two forms of the optimization used to produce the fitted ridge
regression parameter. (That is, show that there is a t such that ridge ridge and a t such
t
ridge
that tridge t .)
Hint sent out by e-mail:
r
You may take as g
2011-02-22
STAT602X
Homework 3
Keys
9. Find a set of basis functions for the natural (linear outside the interval (1 , K ) quadratic
regression splines with knots at 1 < 2 < < K .
(10 pts) Based on HTFs construction, the general form for the truncated-pow