Calculate the covariance of the following pairs of observation of two variates X and Y. (1, 5)(2, 4)(3, 3)(4, 2)(5, 1)

Explain the concept of correlation and co-efficient of correlation.

Calulate the co-efficient of correlation between x and y on the basis of the following observations. \(\sum\)\(\sum\)x=10, \(\sum\)x²=250, \(\sum\)y=70, \(\sum\)y²=300, \(\sum\)xy=75 and n =20

The co-efficient of correlation between two variables X and Y is 0.5 and their co-variance is 5.81. The variance of X is 12. Find the satandard deviation of the Y-series.

prove that the correlation co-efficient is the geometric mean of regression co-efficients.