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Calculate the correlation cofficient beteen X and Yand comment on their relationship . |
Answer» Solution : `r=(sumdxdy-((sumdx)xx(sumdy))/(N))/(sqrt(sumdx^(2)-((sumdx)^(2))/(N)xxsqrt(sumsy^(2)-((sumdy)^(2))/(N))` `r=(68-((-2)xx(-4))/(6))/(sqrt(34-((-2)^(2))/(6))xxsqrt(136xx((-4)^(2))/(6))` `(68-(8)/(6))/(sqrt(34-(4)/(6))xxsqrt(136-(16)/(6)))` `=((408-8)/(6))/(sqrt((204-4)/(6))xxsqrt((816-16)/(6)))` `=((400)/(6))/(sqrt((200)/(6))xxsqrt((800)/(6)))` `((400)/(6))/((1)/(6)sqrt(200xx800))` `(400)/(6)xx(6)/(1)xx(1)/(sqrt(1,60,000))` `(400)/(400)=1` CORRELATION coefficient (r)=1 This is a situation of a PERFECTLY positive correlation between X and Y. |
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