The following results are obtained regarding two series. Compute … - Vidyadip

Question

The following results are obtained regarding two series. Compute coefficient of correlation:

	X-series	Y-series
No. of items	15	15
Arithmetic Mean	25	18
Standerd Devation	3.01	3.03

Sum of products of deviations of X and Y series from their respective mean is 122.

✓

Answer

We are given: $\text{N}=15,\overline{\text{X}}=25\sigma_\text{x}=3.01$$\overline{\text{Y}}=18\sigma_\text{y}=3.03\ \text{and}\ \Sigma\text{XY}=122$
$\text{r}=\frac{\Sigma\text{xy}}{\text{N}\times\sigma_\text{x}\times\sigma_\text{y}}=\frac{122}{15\times3.01\times3.03}$
$\frac{122}{136.8}=0.89$
High degree correlation exists between the X and Y series.

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