# Challenge 4

Please show all work so I understand how you landed on the answer. Also please bold final answers so they are easy to find and don’t plaigarize. Thanks
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
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
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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