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Calculate the correlation coefficient from the following data:

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Mumbai University > COMPS > Sem 4 > Applied Mathematics 4

Marks : 06

Year : DEC 2014

1 Answer
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Karl Pearson’s Correction Co-efficient:

Let $a=30$ & $b=25$

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$$n=10$$

$r_{x,y}=r_{u,v}=\dfrac {n\sum UV-\sum U\sum V}{\sqrt{n\sum U^2-(\sum U)^2}\sqrt{n\sum V^2-(\sum V)^2}}\\ =\dfrac {10(186)-11\times 7}{\sqrt{10(215)-11^2}\sqrt{10(163)-7^2}}\\ =\dfrac {1783}{\sqrt{2029}\sqrt{1581}}\\ =0.9955$

$\therefore$ Correlation Co-efficient $=0.9955$

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