Question

In: Statistics and Probability

Test A               Score Respondent        X              Y &n

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)

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