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| 1. |
Calculate the correlation cofficient between the heights of Fathers in inches (X) and their sons (Y). |
| Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C12_E01_091_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>=(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)xxsqrt(sumdy^(2)-((sumdy)^(2))/(N))` <br/> `=(<a href="https://interviewquestions.tuteehub.com/tag/118-1777937" style="font-weight:bold;" target="_blank" title="Click to know more about 118">118</a>-(-<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>)xx(-36)/(8))/(sqrt(156-(-10)^(2))/(8))xxsqrt((36)^(2))/(8))` <br/> `=(118-45)/(sqrt(156-12.5)xxsqrt(356-162))` <br/> `=(73)/(sqrt(143.5)xxsqrt(<a href="https://interviewquestions.tuteehub.com/tag/194-281510" style="font-weight:bold;" target="_blank" title="Click to know more about 194">194</a>))` <br/> `=(73)/(11.98xx13.93)` <br/> `=(73)/(166.88)=0.44` <br/> Correlation coefficient (r)=0.44</body></html> | |