Calculate coefficient of correlation, given the following data :

1.	Calculate coefficient of correlation, given the following data :
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C12_S01_003_S01.png" width="80%"/> <br/> `<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>=(sumxy)/(sqrt(sumx^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)xxsumy^(2))),x=(X-bar(X)),y=(Y-bar(Y))` <br/> The table shows that , `sumxy=58,sumx^(2)=28,sumy^(2)=130` <br/> Substituting the values, we get <br/> `r=(58)/(sqrt(28xx130))=(58)/(sqrt(3,640))=(58)/(60.33)=+0.96` <br/> <a href="https://interviewquestions.tuteehub.com/tag/coefficient-920926" style="font-weight:bold;" target="_blank" title="Click to know more about COEFFICIENT">COEFFICIENT</a> of Correlation (r)=+0.96. <br/> It is a <a href="https://interviewquestions.tuteehub.com/tag/situation-1210683" style="font-weight:bold;" target="_blank" title="Click to know more about SITUATION">SITUATION</a> of high positive correlation.</body></html>

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