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Obtain Spearman rank correlation coefficient from the following data.

written 7.8 years ago by teamques10 ★ 70k

•   modified 3.9 years ago

x	18	20	34	52	12
y	30	23	35	18	46

Subject: Applied Mathematics 4

Topic: Correlation & Regression

Difficulty: Medium

engineering mathematics

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1 Answer

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written 7.6 years ago by teamques10 ★ 70k

•   modified 7.6 years ago

x	y	R$_1$	R$_2$	d = R$_1$ - R$_2$	d$^2$
18	30	2	3	-1	1
20	23	3	2	1	1
34	35	4	4	0	0
52	18	5	1	4	16
12	46	1	5	-4	16
					34

$ r_{xy} = 1 - 6 [\frac{\sum d^2}{n(n^2-1)}] = 1 - \frac{6(34)}{5(24)} = 1 - 1.7 = -0.7 $

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