Compute Spearmanm4 rank correlation coefficient from the data on height & weight of eight Students.

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written 8.2 years ago by

teamques10 ★ 70k

• modified 4.3 years ago

Height	60	62	64	66	68	70	72	74
Weight	92	83	101	110	128	119	137	146

Subject: Applied Mathematics 4

Topic: Correlation & Regression

Difficulty: Medium

engineering mathematics

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1 Answer

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written 7.9 years ago by

teamques10 ★ 70k

Height	Weight	R$_1$	R$_2$	d = R$_1$ - R$_2$	d$^2$
60	91	1	2	-1	1
62	83	2	1	1	1
64	101	3	3	0	0
66	110	4	4	0	0
68	128	5	6	-1	1
70	119	6	5	1	1
72	137	7	7	0	0
74	146	8	8	0	0
					4

$ r_{xy} = 1 - [\frac{6 \sum d^2}{n(n^2 -1)}] = 1 - \frac{6(4)}{8(63)} = 1 - \frac{3}{63} = 0.95238 $

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Height	Weight	R$_1$	R$_2$	d = R$_1$ - R$_2$	d$^2$
60	91	1	2	-1	1
62	83	2	1	1	1
64	101	3	3	0	0
66	110	4	4	0	0
68	128	5	6	-1	1
70	119	6	5	1	1
72	137	7	7	0	0
74	146	8	8	0	0
					4

Height	Weight	R$_1$	R$_2$	d = R$_1$ - R$_2$	d$^2$
60	91	1	2	-1	1
62	83	2	1	1	1
64	101	3	3	0	0
66	110	4	4	0	0
68	128	5	6	-1	1
70	119	6	5	1	1
72	137	7	7	0	0
74	146	8	8	0	0
					4

Height	Weight	R$_1$	R$_2$	d = R$_1$ - R$_2$	d$^2$
60	91	1	2	-1	1
62	83	2	1	1	1
64	101	3	3	0	0
66	110	4	4	0	0
68	128	5	6	-1	1
70	119	6	5	1	1
72	137	7	7	0	0
74	146	8	8	0	0
					4