Question

Calculate the coefficient of correlation from the following data.

X:	30	40	60	70	100
Y:	90	110	140	150	160

Answer 1

X	X x - x̅/10	x2	y	y	y2	xy
30	-3	9	90	-4	16	12
40	-2	4	110	-2	4	4
60	0	0	140	1	1	0
700	1	1	150	2	4	2
100	4	16	160	3	9	12
\(\sum\)x = 300	\(\sum\)x = 0	\(\sum\)x2 = 30	\(\sum\)y = 650	\(\sum\) y= 0	\(\sum\)y2 = 34	\(\sum\)xy = 30

Coefficient of correlation is denoted by 'r'