Question

If

x :	3	4	8	6	2	1
y :	5	3	9	6	9	2

Then the coefficient of correlation will be approximately

• A. 0.49
• B. 0.40
• C. – 0.49
• D. – 0.40

Answer 1

Answer: (A)

0.49

Answer 2

Here $\bar { x } = 4 , \bar { y } = \frac { 34 } { 6 } = 5.66$ .

$x - \bar { x }$	$y - \bar { y }$	$( x - \bar { x } ) ( y - \bar { y } )$
– 1	– 0.66	0.66
0	– 2.66	0
4	3.34	13.36
2	0.34	0.68
– 2	3.34	– 6.68
– 3	– 3.66	+10.98

$\Sigma ( x - \bar { x } ) ^ { 2 } = 34$ , $\Sigma ( y - \bar { y } ) ^ { 2 } = 43.33$

Therefore, $r _ { x y } = \frac { 19 } { \sqrt { ( 34 ) ( 43.33 ) } } = 0.49$ .