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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...

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Question

Statistics

TestA               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

  TestB               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 MovementCorrelation Coefficient (r) for Test A. Show yourwork. (6 points)

b. Based on the correlation coefficient whichyou calculated, in two words how would youdescribe the relationship between the two variables in Test A? (4points)

c. Calculate Pearson’s Product MovementCorrelation Coefficient (r) for Test B. Show yourwork. (6 points)

d. Based on the correlation coefficient whichyou calculated, in two words how would you describe therelationship between the two variables in Test B? (4 points)

e. Which test would you select? (2 points)Why? (4 points)

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