Calculate the coefficient of correlation between x & y from the following data.

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written 6.2 years ago by

teamques10 ★ 69k

modified 5.0 years ago by

prashantsaini • 0

x	23	27	28	29	30	31	33	35	36	39
y	18	22	23	24	25	26	28	29	30	32

engineering mathematics

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1 Answer

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written 6.2 years ago by

teamques10 ★ 69k

Let us assume $\bar {X}$ = 30 & $\bar{Y}$ = 25

Given N=10

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r= $\frac{\sum{dxdy}- \frac{(\sum{dx})(\sum{dy})}{N}}{(\sqrt{\sum{dx^2}-\frac{(\sum{dx})^2}{N}})(\sqrt{\sum{dy^2}-\frac{(\sum{dy})^2}{N}})}$

r= $\frac{186- (\frac{11\times 7}{10})}{(\sqrt{215-\frac{(11)^2}{10}})(\sqrt{163-\frac{(7)^2}{10}})}$

r= $\frac{186- 7.7}{\sqrt{215- 12.1}\sqrt{163-4.9}}$

r= $\frac{178.3}{\sqrt{202.9}\sqrt{158.1}}$

r= 0.9948

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