Question

The coefficients of correlation between the heights (in inches) of fathers and sons from the following data will be

Heights of fathers (x) :	65	66	67	68	69	70	71
Heights of sons (y)	67	68	66	69	72	72	69

• A. 0.60
• B. – 0.60
• C. – 0.67
• D. 0.67

Answer 1

Answer: (D)

0.67

Answer 2

Here, $\bar { x } = 68 , \bar { y } = 69$

$x - \bar { x }$	$y - \bar { y }$	$( x - \bar { x } ) ( y - \bar { y } )$	$( x - \bar { x } ) ^ { 2 }$	$( y - \bar { y } ) ^ { 2 }$
– 3	– 2	6	9	4
– 2	– 1	2	4	1
– 1	– 3	3	1	9
0	0	0	0	0
1	3	3	1	9
2	3	6	4	9
3	0	0	9	0

Hence, .