Compute Co relation Coefficient for the following data (X) =2 3 4 5 6 7 8 Y= 4 5 6 12 9 5 4
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Answer:
Table 1.
X 3 2 1 5 4
Y 8 4 10 2 6
Table 2.
∴X Y X
2
Y
2
XY
3 8 9 64 24
2 4 4 16 8
1 10 1 100 10
5 2 25 4 10
4 6 16 36 24
∑X=15 ∑Y=30 ∑X
2
=55 ∑Y
2
=220 ∑XY=76
Table 1
Table 2
Correlation co efficient r(x,y)=
∑x
2
−
n
1
(∑x)
2
∑y
2
−
n
1
∑y
2
(∑xy)−
n
1
(∑x.∑y)
=
55−
5
225
220−
5
900
76−
5
15×30
=
10
40
76−90
=
400
−14
=
20
−14
=
10
−7
=−0.7
r(x,y)=−0.7
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