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What is the Pearson Correlation between the two sets of test scores of the follo

ID: 3363734 • Letter: W

Question

What is the Pearson Correlation between the two sets of test scores of the following test scores:

Subject #                                            Brain Scaled Score                           WAIS-R IQ SCORE

1                                                                              50                                                           100

2                                                                              60                                                           115

3                                                                              65                                                           120

4                                                                              40                                                           96

5                                                                              35                                                           100

6                                                                              40                                                           85

7                                                                              60                                                           115

8                                                                              55                                                           105

9                                                                              50                                                           103

10                                                                           45                                                           90

11                                                                           52                                                           120

12                                                                           48                                                           105

13                                                                           51                                                           110

14                                                                           49                                                           95

15                                                                           50                                                           100

16                                                                           50                                                           100

17                                                                           37                                                           95

18                                                                           63                                                           112

19                                                                           50                                                           100

20                                                                           50                                                           100

Explanation / Answer

X Values
= 1000
Mean = 50
(X - Mx)2 = SSx = 1248

Y Values
= 2066
Mean = 103.3
(Y - My)2 = SSy = 1726.2

X and Y Combined
N = 20
(X - Mx)(Y - My) = 1131

R Calculation
r = ((X - My)(Y - Mx)) / ((SSx)(SSy))

r = 1131 / ((1248)(1726.2)) = 0.7706

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