1.

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.

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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