Measure the height of your classmates. Ask them the height of their benchmate. Calculate the correlation coefficient of these two variables. Interpret the result.

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Solution

Height of Classmate

X

Height of Benchmate

Y

67

65

56

66

65

57

68

67

72

68

72

69

69

70

71

72

X

Y

XY

X²

Y²

67

65

4355

4489

4225

56

66

3696

3136

4356

65

57

3705

4225

3249

68

67

4556

4624

4489

72

68

4896

5184

4624

72

69

4968

5184

4761

69

70

4830

4761

4900

71

72

5112

5041

5184

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Height of Classmate X	Height of Benchmate Y
67	65
56	66
65	57
68	67
72	68
72	69
69	70
71	72

X	Y	XY	X²	Y²
67	65	4355	4489	4225
56	66	3696	3136	4356
65	57	3705	4225	3249
68	67	4556	4624	4489
72	68	4896	5184	4624
72	69	4968	5184	4761
69	70	4830	4761	4900
71	72	5112	5041	5184

Measure the height of your classmates. Ask them the height of their benchmate. Calculate the correlation coefficient of these two variables. Interpret the result.

Height of Classmate X Height of Benchmate Y 67 65 56 66 65 57 68 67 72 68 72 69 69 70 71 72 X Y XY X2 Y2 67 65 4355 4489 4225 56 66 3696 3136 4356 65 57 3705 4225 3249 68 67 4556 4624 4489 72 68 4896 5184 4624 72 69 4968 5184 4761 69 70 4830 4761 4900 71 72 5112 5041 5184