In: Statistics and Probability
Test A Score
Respondent X Y x-x ( x-x) 2 y-y ( y-y) 2 ( x-x) ( y-y)
Jones |
77 |
51 |
24.8 |
615.04 |
7.8 |
60.84 |
193.44 |
Dunn |
66 |
59 |
13.8 |
190.44 |
15.8 |
249.64 |
218.04 |
Dean |
41 |
44 |
-11.2 |
125.44 |
0.8 |
0.64 |
-8.96 |
Hampton |
47 |
34 |
-5.2 |
27.04 |
-9.2 |
84.64 |
47.84 |
Nichols |
32 |
28 |
-22.2 |
492.84 |
-15.2 |
231.04 |
337.44 |
Test B Score
Respondent X Y x-x ( x-x) 2 y-y ( y-y) 2 ( x-x) ( y-y)
Jones |
50 |
51 |
-3.4 |
11.56 |
7.4 |
54.76 |
-25.16 |
Dunn |
38 |
69 |
-15.4 |
237.16 |
25.40 |
645.16 |
-391.16 |
Dean |
58 |
34 |
4.6 |
21.16 |
-9.6 |
92.16 |
-44.16 |
Hampton |
49 |
36 |
-4.4 |
19.36 |
-7.6 |
57.76 |
33.44 |
Nichols |
72 |
28 |
18.6 |
345.96 |
-15.6 |
243.36 |
-290.16 |
a. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test A. Show your work. (6 points)
b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test A? (4 points)
c. Calculate Pearson’s Product Movement Correlation Coefficient (r) for Test B. Show your work. (6 points)
d. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in Test B? (4 points)
e. Which test would you select? (2 points) Why? (4 points)