Question

Find the covariance and correlation from the above data if the variance of the height = 0.00423 and the variance of weight = 9.3

gluts and weig Heighd weight 0.03 O. 128 the aboue data if the variance of the-

Answer 1

Solution:- The covariance and correlation of the given data is 0.19 and 0.9554.

$Covariance = \frac{\sum (x-\bar{x})(y-\bar{y})}{n-1}$

$Covariance = \frac{0.76}{5-1}$

Covariance = 0.19

$r_{x,y} = \frac{Covariance}{\sigma _{x}\sigma _{y}}$

$r_{x,y} = \frac{0.19}{\sqrt{0.00423}\cdot \sqrt{9.3}}$

$r_{x,y} = 0.9554$