Miami University Oxford Statistic Questionnaire

his page for any scratch work, ifart 2: Handwritten Section
nstructions: Answer each question, showing your work where appropriate. Round all probabilities
to four decimal places.
1.
Food preferences are often impacted by where we live. A recent survey was conducted in which 1000
randomly selected individuals were asked which fast food restaurant they preferred as well as which state
they currently live in. Results are given below. (13 points)
State
Total
IN
OH
IL
MI
KY
321
64
69
Wendy’s
55
55
78
Favorite Fast Food
222
37
50
Burger King
43
63
29
46
457
McDonald’s
128
85
144
54
1000
161
242
172
Total
197
228
Are preferring Wendy’s and living in Illinois (IL) disjoint (mutually exclusive) events? Explain using
probabilities. (3 points)
a.
b. Are preferring Burger King and living in Michigan (MI) independent events? Provide a mathematical
argument to justify your answer. (4 points)
3
Exam 1 – Form C
9 2022
was grouped by the genre (type) of
regression results to death
fund-raising agency hep varie
contributions of the handige (15 points)
simple linear regression results!
Dependent Vanable unde
independent Variable nployees
Funds -380203 45 33.556042 Employees
R-s9 -0.93490746
R (correlation coemcient) = 0.00000613
Sample size: 22
a. Report the regression equation using variable
names in the context of the problem. (2 points)
b. Identify the slope of the regression equation. Interpret this value in the context of the problem.
(4 points)
c. Identify correlation coefficient. Interpret this value in the context of the problem. (3 points)
d. Identify the coefficient of determination. Interpret this value in the context of the problem. (3 points
Use the regression equation to predict the funds raised for a company with 45000 employ
(3 points)
e.
Exam 1 – Form C
Spring 2022