Brief Answers to Assignment #2
Stat*2050 W13
1. The key to proving this is to recognize that R2 = SS(X1, X2, ., Xp)/SS(Total), and since SS(X1,
X2, ., Xp) + SS(Error) = SS(Total), then 1 ! R2 = SS(Error)/SS(Total).
Using the data in question 2 you should
STAT*2050 Statistics II
G. Umphrey
Assignment #1
January, 2013
Assume a 5% significance level unless specified otherwise.
1.
In a certain study in which simple linear regression and correlation analysis was conducted, a
correlation coefficient of r = 0.76
Page 1 of 10
Name:
email:
G. Umphrey
27 October, 2015
STAT*2050
Test 2 (Time: 75 minutes)
Open notes are allowed, as are calculators.
Notes: 1. Conduct hypothesis tests at the 5% level of significance unless otherwise stated.
2. Make sure to check careful
G. Umphrey
STAT*2050 Statistics II
Winter 2017
Question Set #2
This question set will not be graded. Assume a 5% significance level unless specified otherwise.
1.
For the Galapagos Islands data set (the same as used in Question Set #1), obtain the ANOVA
t
David Shulman
Statistics 2050
1.
a.)
y = 0.07852x0.7450
n = 25.0000
R2= 0.9266
b.)
y = AxB
log(y) = Blog(x) + logA
y intercept = LogA
A = 10 y-intercept
A = 10-1.10500
= 0.07852
B = Slope
= 0.7450
c.)
k = 0.7450
Std. Error = 0.0437
k t n-2 ; /2 SE(k)
= 0.
Statistics Ungraded Question Set 2
David Shulman
1.
a.) The R^2 value given log of area as the only predictor variable is
= 0.7571
b.) Test the significance of adding log10 (NearestIsland) into the model.
H0 : B0 = 0
H1 : B0 not equal to 0
t value is = -
David Shulman (0759356)
Graded Assignment 2
October 21, 2015
1.
2.
Diamond
a.
Data
No
answer required.
b. Table on final page.
c. The R^2 for the quadratic model increased by 0.0284, we can conclude the
addition of the X2 term added additional correlation
G. Umphrey
STAT*2050 Statistics II
Fall 1915
Graded Assignment #1
Note: This assignment will be graded. To keep the grading efficient for the markers, a solution
sheet will be provided for your work. Details on submitting your work will be provided in cla
G. Umphrey
STAT*2050 Statistics II
Fall 2015
Question Set #1
Note: This Question Set will not be graded. Assume a 5% significance level unless specified
otherwise.
1.
The statistician Francis Anscombe constructed a set of four data sets that show very sim
Page 1 of 9
Name:
email:
G. Umphrey
29 September, 2014
STAT*2050
Test 1 (Time: 75 minutes)
Open notes are allowed, as are calculators.
Notes: 1. Conduct hypothesis tests at the 5% level of significance unless otherwise stated.
2. Make sure to check carefu
Page 1 of 9
Name:
email:
G. Umphrey
29 September, 2015
STAT*2050
Test 1 (Time: 75 minutes)
Open notes are allowed, as are calculators.
Notes: 1. Conduct hypothesis tests at the 5% level of significance unless otherwise stated.
2. Make sure to check carefu
Page 1 of 5
Name:
email:
G. Umphrey
20 October, 2014
STAT*2050
Test 2 (Time: 75 minutes)
Open notes are allowed, as are calculators.
Notes: 1. Conduct hypothesis tests at the 5% level of significance unless otherwise stated.
2. Make sure to check carefull
STAT*2050 Statistics II
G. Umphrey
Assignment #2
January, 2013
Assume a 5% significance level unless specified otherwise.
1.
In a multiple regression analysis with p predictor variables, it is easy to show that the F test
statistic for testing H0: 1 = 2 =
STAT*2050 Statistics II
G. Umphrey
1.
Assignment #3
February, 2013
A polynomial model was used to describe the relationship between two variables, X and Y,
based on a set of 26 observations. When a linear model was fit, the following information was
obtai
STAT*2050 Statistics II
G. Umphrey
March, 2013
Assignment #4
Assume a 5% significance level unless specified otherwise.
1.
Find the Fusion Times data set on DASL (the Data and Story Library; simply google
DASL) and set this up for analysis in R. (One way
G. Umphrey
STAT*2050 Statistics II
Winter 2017
Assignment #1
Note: This assignment will have substantial parts graded (but not necessarily all parts). The graded
components will be submitted via Crowdmark; you will receive a template for submitting your
a
G. Umphrey
STAT*2050 Statistics II
Winter 2017
Assignment #2
Note: The graded components will be submitted via Crowdmark; you will receive a template for submitting
your answers in your email. Various hints for completing this assignment will be given in
G. Umphrey
STAT*2050 Statistics II
Winter 2017
Assignment #3
Note: The graded components will be submitted via Crowdmark. Submit graphs in pdf format,
everything else in pdf or jpg format. Remember to label your graphs appropriately.
In class we introduce