STAT 511
8 Solutions to Homework 9
Spring 2004 8
1. Use times to failure for high speed turbine engine bearings made from two dierent compounds. (a) Make normal plots for the lifetimes and log-lifetim
Stat 511 Exam1
February 24, 2009
Prof. Vardeman
I have neither given nor received unauthorized assistance on this exam.
K67
Name Printed 1. Consider a segmented simple linear regression problem in o
Stat 511 Final Exam
May 8, 2003 Prof. Vardeman
1. A classic data set of Wishart (later analyzed by Ostle and then Stapleton) concerns weight gains of
young pigs in a comparative feeding trial. 3 diffe
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Stat
511
Exam
II
April 7, 2004
Prof. Vardeman
I. Consider a 3 x 3 factorial analysis with factors A and B under an ordinary (fixed effects) linear model. The effects model under the R baseline rest
Stat 511 Exam1
February 26, 2008
Prof. Vardeman
I have neither given nor received unauthorized assistance on this exam.
Name Printed 1. Consider a problem of quadratic regression in one variable, x.
Stat 511 Exam 2
April 11, 2003 Prof. Vardeman
l. The rst printout attached to this exam concerns the analysis of some data from a tire grip study.
Drag, x (measured in %), is applied to a tire and the
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Stat 511 Final Exam
May 5, 2004 Prof. Vardeman -Z.?-Y~ In a study meant to determine the variability of diameters of widgets produced on a manufacturing line, ~ an engineer measures m = 10 wi
Stat 511 Exam 1
February 23, 2004 Prof. Vardeman
1. Consider an instance of the linear model for n = 5 observations,
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Stat 511 Final Exam
May 7, 2008
Prof. Vardeman
I have neither given nor received unauthorized assistance on this exam.
KEY
Name Printed 1. Below is a small table of fake (x, y) data. Use them to com
Stat 511 Exam 2
April 7, 2009
Prof. Vardeman
I have neither given nor received unauthorized assistance on this exam.
[(61
Name
Name Printed l. A data set in Statistical Tools for Nonlinear Regressio
Stat 511 Exam 1
February 24, 2003 Prof. Vardeman
1. In the calibration of a scientic instrument, true valuesx are known and produce experimental
readings y on the instrument. Suppose that we are willi
STAT 511 HW#2 SPRING 2009 PROBLEM 1: a) = b) i. ii. iii. It is known that = ( ). In addition : =0 = = 0 which means ( ) ( ) . that is orthogonal to , that is ( ) . So ( ) ( ) since columns of can be w
STAT 511 HW#4 SPRING 2009 PROBLEM 1.
(a) y<-c(62.9,21.5,19.3,64.1,32.9,30.9,93.4,64.6,58.6,26.6,51.3) x1<-c(-1,-1,-1,0,0,0,1,1,1,-0.5,0.5) x2<-c(-1,0,1,-1,0,1,-1,0,1,0.33,-0.33) library(MASS) model1<-
STAT511SolutiontoHW6Spring2008
> qr(B)$rank [1] 7 > optim(c(.07,.45,.37),minuslLstar2,Y=Y,B=B,hessian=TRUE)$par [1] 0.3437852 0.8087115 0.2848388 (h) C M LE = C REM LE = ( = 99.4551, = 9.7936) s2 <-
STAT 511
Solution to HW3
Spring 2008
1. > X <- matrix(c(rep(1,9),rep(c(rep(0,7),1),3),1,1),7,5) > Y <- c(2,1,4,6,3,5,4) > alpha <- 0.10 (a) > b <- ginv(t(X)%*%X,tol=1e-10)%*%t(X)%*%Y > df <- length(Y)
Stat 511 Exam 2
April 7, 2008
Prof. Vardeman
I have neither given nor received unauthorized assistance on this exam.
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Name
Name Printed 1. An experimental data set in a set of sli