Find the coefficient of correlation from the following data:

1.	Find the coefficient of correlation from the following data:
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C12_S01_013_S01.png" width="80%"/> <br/> `bar(X)=(<a href="https://interviewquestions.tuteehub.com/tag/sumx-3819684" style="font-weight:bold;" target="_blank" title="Click to know more about SUMX">SUMX</a>)/(N)=(125)/(8)=15.625,` <br/> `bar(Y)=(sumY)/(N)=(337)/(8)=42.125` <br/> Since the actual means are not whole number , we <a href="https://interviewquestions.tuteehub.com/tag/take-662846" style="font-weight:bold;" target="_blank" title="Click to know more about TAKE">TAKE</a> 16 as assumed mean for X and 42 as assumed mean for Y. <br/> Applying the formula,<br/> `r=(sumdxdy-((sumdx) xx(sumdy))/(N))/(<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(sumdx^(2)=((sumdx)^(2))/(N))xx sqrt(sumdy^(2)-((sumdy)^(2))/(N)))` <br/> `=(138-((-3)xx(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>))/(8))/(sqrt(71-((-3)^(2))/(8))xxsqrt(283-((1)^(2))/(8)))` <br/> `=(138-(-0.375))/(sqrt(71-1.125)xx sqrt(283-0.125))` <br/> `=(138+0.375)/(8.36xx16.82)` <br/> `=(138.375)/(140.6152)` <br/> `+0.98` <br/> Coefficient of Correlation (r)=+0.98</body></html>

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