Question

From the following data, compute the coefficient of correlation between X and Y

$\begin{array}{ccc}& \text{X series}& \text{Y series}\\ \text{Number of items}& \text{6}& \text{6}\\ \text{Airthmetic mean}& \text{350}& \text{138}\\ \text{Aquares of deviations from mean}& \text{19}& \text{94}\end{array}$

Answer 1

We are given :

N=6

$\overline{X}=350,\overline{Y}=138.\sum x^2=19,\sum y^2=94,\sum xy=41$

r=$\frac{\sum xy}{\sqrt{\sum x^2{y}^2}}=\frac{41}{\sqrt{19\ast 94}}=\frac{41}{\sqrt{1786}}=\frac{41}{\sqrt{42.26}}=0.97$