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Question

Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)
X
65
66
57
67
68
69
70
72
Y
67
56
65
68
72
72
69
71

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Solution

X

Y

XY

X2

Y2

65

67

4355

4225

4489

66

56

3696

4356

3136

57

65

3705

3249

4225

67

68

4556

4489

4624

68

72

4896

4624

5184

69

72

4968

4761

5184

70

69

4830

4900

4761

72

71

5112

5184

5041



Note: As per textbook, correlation coefficient is 0.603. However, as per the above solution, correlation coefficient should be 0.44.


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