Player
Bubba Watson
Dustin Johnson
J.B. Holmes
Rory McIlroy
Charlie Beljan
Robert Garrigus
John Daly
Gary Woodland
Adam Scott
Scott Piercy
Kyle Stanley
Keegan Bradley
Martin Laird
Ryan Palmer
Scott Stallings
Jason Day
Josh Teater
Harrison Frazar
Jhonattan
Xi Yi
1
2
3
4
5
3
7
5
11
14
16
1.a)
14
f(x) = 2.6x + 0.2
12
10
8
6
4
2
0
0.5
1
1.5
b) There is a linear relation between Xi and Yi.
d) Using equation 14.6
b1 = (xi- x) (yi - y)
(xi -x)Sq
x = xi/n =
x
Xi
15/5 = 3
y = yi/n
y
40/5 =8
b1=26/10
B1= 2.6
The ca
q.25
Ho : 45
Ha : < 45
N =36
= 0.01
A)
X bar =44
s= 5.2
Degree of Freedom = 35
Z=xbar -/s/rootn
44-45/5.2/6
Test Statisistics = -1.1547
P-value Range 0.20 and 0.10
P-value
0.128971
0.128971 > 0.01
we cannot reject the null hypothesis because p>
B)
Xbar =
One way ANOVA
Analyzing variances: can analyze mean differences between more than 2 groups simultaneously
as long as subjects only face 1 condition and normal distributions also assume all populations
have homogeneous (same) variance. Also not because of
T test for independent means
Use a between-subject design when two dif groups of subjects (ie experimental and control
group), look at the distribution of the differences between the means. If null is true, the two
populations have the same mean; if dif b
Simple Regression
Prediction about what score should be rather than association between 2 vars.
Regression line summarize linear relationship btwn X & Y, explains how Y changes as observe
changes in X, predict Y from X, so prediction errors made are error
Correlation
Linear association between 2 variables correlation coefficient. rxy or simply r represents corr, is
the standardized covariance measure of covariance between variables wrt standard dev of
each variable, aka use z scores to calculate. See if on
Preparation for Final Exam
Read Chapter 27
Read page 886, "Introduced Species"
Distinguish Archaea from Bacteria
Distinguish Angiosperms, gymnosperms, ferns, bryophytes
Distinguish bony fish from cartilaginous fish
Which extant lineage is most closely rel
Example Problem
Have you ever noticed that television commercials are much louder than the programs
themselves? Many advertisers seem to believe that increased volume creates increased
viewer attention and so makes the commercial more persuasive. To test
Questions 1 & 2, refer to the set of data shown. Note that the values in the matrix are cell means
(denoted as M) and should be considered population values. Also note that one of the cell means is
missing.
Factor B
A1
A2
Factor A
B1
M=6
M = 12
B2
M=8
M=?
One-Way ANOVA Example Problem
North American Oil Company is attempting to develop a reasonably priced gasoline that
will deliver improved gasoline mileages. As part of its development process, the
company would like the compare the effects of three types
Chapter 14: Simple
Linear Regression
Going Beyond Correlation
2
Correlation shows the direction and
strength of the linear relationship
between any two variables.
Sometimes, though, we want to do more
than simply associate two variables. We
want to know h
Higher education researchers are interested in knowing what factors influence alumni giving.
The alumni giving rate was predicted by the graduation rate (grad_rate), the percent of class
sizes under 20 people (percent_under_20), and the student-faculty ra
Exam 3 Review, Chapters 3 (correlation only), 14, 15 & (parts of) 16
Ultimately, it would be best for you to review all of the text material, lecture notes, practice/in class
problems and CNOW questions for this exam. However, to help guide your study of
Questions 1 & 2, refer to the set of data shown. Note that the values in the matrix are cell means
(denoted as M) and should be considered population values. Also note that one of the cell means is
missing.
Factor B
A1
A2
Factor A
B1
M=6
M = 12
B2
M=8
M=?
Correlation & Simple Linear Regression Practice Problems
1. A transportation study on driving speed and miles per gallon for midsize automobiles resulted in
the following data:
Speed
30
45
40
55
30
25
60
25
50
55
41.5
-11.5
3.5
-1.5
13.5
-11.5
-16.5
18.5
Higher education researchers are interested in knowing what factors influence alumni giving.
The alumni giving rate was predicted by the graduation rate (grad_rate), the percent of class
sizes under 20 people (percent_under_20), and the student-faculty ra
Name _
Practice Problem, Multiple Regression
Case Problem #3, Chapter 15
The Professional Golfers Association (PGA) maintains data on performance and
earnings for members of the PGA Tour. The top 125 players based on total earnings in
PGA Tour events are
Correlation & Simple Linear Regression Practice Problems
1. A researcher wants to evaluate the linear relationship between age and body fat percentage. He
finds the following information:
Age
23
23
27
27
39
41
45
49
34.25
-11.25
-11.25
-7.25
-7.25
4.75
6.
Name _
Practice Problem, Multiple Regression
Case Problem #3, Chapter 15
The Professional Golfers Association (PGA) maintains data on performance and
earnings for members of the PGA Tour. The top 125 players based on total earnings in
PGA Tour events are
Chapter 15:
Multiple Regression
2
Simple vs. Multiple
Regression
In chapter 14, we determined the linear
relationship between two variables.
The predicted variable, Y (dependent)
The predictor variable, X (independent)
We can use a variation of the simple
Stretch X Weights Factorial ANOVA
An exercise physiologist wants to examine whether stretching and wearing ankle weights affect
the value of exercise on treadmills. To carry out her study, she recruits subjects who have
roughly the same level of physical