Question

From the following data, compute the coefficient of correlation between X and Y series.
$$\begin{array}{ccc}& \text{X series}& \text{Y Series}\\ \text{Number of items}& 6& 6\\ \text{Arithmetic mean}& 350& 138\\ \text{Squares of deviations from mean}& 19& 94\end{array}$$
Summation of product of deviations of X and Y series from their respective arithmetic mean= 41.

Answer 1

We are given:
$N=6\overline{X}=350,\overline{Y}=138,\sum x^2=19,\sum y^2=94,\sum xy=41r=\frac{\sum xy}{\sqrt{\sum x^2{y}^2}}=\frac{41}{\sqrt{19\ast 94}}=\frac{41}{\sqrt{1786}}=\frac{41}{42.26}=0.97$