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The following information is obtained regarding the height (X) and weight (Y) from a sample of ten students of a school:x̄ = 160, ȳ = 55, Σxy = 90000, Sx = 25, Sy = 10Find the correlation coefficient between the height and weight from it. |
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Answer» Here, n = 10; x̄ = 160; ȳ = 55; Σxy = 90000; Sx = 25 and Sy = 10. Now, \(r= \frac{\sum xy-n\bar x\bar y}{n.S_x.S_y}\) \(=\frac{90000-10\times160\times55}{10\times25\times10}\) \(=\frac{90000-88000}{2500}\) \(=\frac{2000}{2500}=0.8\) Hence, the correlation coefficient between height and weight obtained is 0.8. |
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