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Find the coefficient of correlation from the following data: |
Answer» Solution : `bar(X)=(SUMX)/(N)=(125)/(8)=15.625,` `bar(Y)=(sumY)/(N)=(337)/(8)=42.125` Since the actual means are not whole number , we TAKE 16 as assumed mean for X and 42 as assumed mean for Y. Applying the formula, `r=(sumdxdy-((sumdx) xx(sumdy))/(N))/(SQRT(sumdx^(2)=((sumdx)^(2))/(N))xx sqrt(sumdy^(2)-((sumdy)^(2))/(N)))` `=(138-((-3)xx(1))/(8))/(sqrt(71-((-3)^(2))/(8))xxsqrt(283-((1)^(2))/(8)))` `=(138-(-0.375))/(sqrt(71-1.125)xx sqrt(283-0.125))` `=(138+0.375)/(8.36xx16.82)` `=(138.375)/(140.6152)` `+0.98` Coefficient of Correlation (r)=+0.98 |
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