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

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

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=?

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

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

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

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

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=?

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

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.

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

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

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

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

Are gender and voting preferences independent? Use = .05 to test this.
What are the null and alternative hypotheses?
HO:
HA:
What are the expected values for each cell?
Republican
Male
Female
Column Total
Voting Preferences
Democrat
Independent
450
450
10

Fill in the missing blanks in the output to three decimals (except R2 and Adjusted R2
those to 4 decimals). We are predicting the asking price of the car from the age of the car
in months.

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

FINAL EXAM REVIEW
Multiple regression: what are the different multiple regression techniques discussed?
For any type of regression, you should know how the different parts of output relate to one another.
Review how to evaluate multiple regression output.

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.

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

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

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