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Question: For the following data \(\Sigma ( x - \bar { x } ) ^ { 2 } = 25 , \Sigma ( y - \bar { y } ) ^ { 2 }...

For the following data

Σ(x−xˉ)2=25,Σ(y−yˉ)2=256,Σ(x−xˉ)(y−yˉ)=80\Sigma ( x - \bar { x } ) ^ { 2 } = 25 , \Sigma ( y - \bar { y } ) ^ { 2 } = 256 , \Sigma ( x - \bar { x } ) ( y - \bar { y } ) = 80

The Pearson's coefficient of correlation is

A

0.2

B

0.01

C

1

D

0.1

Answer

1

Explanation

Solution

r=8025×256=1r = \frac { 80 } { \sqrt { 25 \times 256 } } = 1 .