# Expert answer:Challenge 4

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challenge_4_spring_2018.doc

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Challenge 4
1. Using the data given below, calculate the linear correlation between the two variables x
and y.
X
Y
1
0
a) .794
8
7
b) .878
2
8
c) .497
d) .543
1
5
5
6
e) (Fill in the answer)
2. The data below shows the number of years of education beyond high school (X) and
income (Y) (in tens of thousands of dollars). Calculate the correlation coefficient r.
X
Y
4
5
a) .956
b) .941
8
6
c) -.971
1
3
d) -.956
8
5
e) (Fill in the answer)
3. The following data represent two frequency distributions for 10 people in an attitude
study. The X data are scores on an attitude-toward-education measure and the Y data are
scores on an attitude-toward-wealth scale.
Subject
1
2
3
4
5
6
7
8
9
10
X
6
7
8
11
12
12
12
8
10
5
Y
8
10
12
16
20
19
15
12
15
8
Compute the Pearson product-moment correlation coefficient
a) .950
b) .590
c) -.784
d) -.843
e) -.905
4. Is there a significant relationship between attitude towards attitude and education
towards wealth?
a) Yes
b) No
Enrollment and Courses Projection
5. This is a real world example. I need your help in helping the Registrar’s office in
calculating how many courses should run for the Fall ’19 semester. Using enrollment and
courses that ran in the past, I need you to do two things:
a) Identify the specific regression equation for the data to estimate the number of
courses.
b) If the enrollment for Fall ’19 is projected to be 7,150 how many courses should be
scheduled?
Enrollment
Courses
Fall ‘16
8350
1305
Fall ‘17
8250
1422
Fall ‘18
7951
1295
Fall ‘19
7,150
???

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