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Calculate coefficient of correlation,between the age of husbands and wives. |
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C12_S01_004_S01.png" width="80%"/> <br/> <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>=(X-<a href="https://interviewquestions.tuteehub.com/tag/bar-892478" style="font-weight:bold;" target="_blank" title="Click to know more about BAR">BAR</a>(X)),y=(Y-bar(Y)) <br/> `bar(X)=(sunX)/(N)=(174)/(6)=29,bar(Y)=(sumY)/(N)=(156)/(6)=26` <br/> `sumxy=191=sumx^(2)=<a href="https://interviewquestions.tuteehub.com/tag/208-292892" style="font-weight:bold;" target="_blank" title="Click to know more about 208">208</a>,sumy^(2)=<a href="https://interviewquestions.tuteehub.com/tag/178-1797122" style="font-weight:bold;" target="_blank" title="Click to know more about 178">178</a>` <br/> `r=(sumxy)/(sqrt(sumx^(2)xxsumy^(2)))` <br/> `r=(191)/(sqrt(208xx178))` <br/> `=(191)/(sqrt(37,024))` <br/> `=(191)/(192.42)=0.993` <br/> Coefficient of Correlation (r)=0.993 <br/> Thus, there is a high degree of <a href="https://interviewquestions.tuteehub.com/tag/positive-1159908" style="font-weight:bold;" target="_blank" title="Click to know more about POSITIVE">POSITIVE</a> correlation between the age of husband and wife.</body></html> | |