A researcher believes that people who take a Liberal stance

A researcher believes that people who take a Liberal stance on social issues will view the Obama presidency more favorably. She collects information from a random sample twelve college students and asks them to rank their views on social issues on a scale of 1 to 10 as well as their view of the Obama presidency. Their information is listed below. (Social Issues: 1= Very Conservative, 10=Very Liberal; Obama: 1= Complete Failure, 10= Very Successful)

Student

Social Issues (X)

Obama (Y)

A

9

2

B

7

7

C

5

1

D

5

5

E

8

9

F

5

2

G

4

5

H

6

6

I

9

8

J

7

6

K

8

6

L

7

8

a. What is the sum of the squared difference in ranks (D2)?

b. What is the Spearman’s Rho (rs) value for these data?

c. What is the Rho Squared value for these data?

Solution