Calculate Karl Pearson's coefficient of correlation between the marks in English and Mathematics obtained by $10$ students :

English	$20$	$13$	$18$	$21$	$11$	$12$	$17$	$14$	$19$	$15$
Mathematics	$17$	$12$	$23$	$25$	$14$	$8$	$19$	$21$	$22$	$19$

 

Find Karl Pearson's coefficient of correlation between $\mathrm{X}$ and $\mathrm{Y}$ for the following data :

From the following table, calculate the Karl Pearson's coefficient of correlation.

Arithmetic means of $\mathrm{X}$ and $\mathrm{Y}$ series are $6$ and $8$ respectively.

The weights of sons and fathers (in kilograms) are given below:

Find the coefficient of correlation.

Calculate Kari Pearson's coefficient of correlation from the following data and interpret the result:

Calculate Karl Pearson's coefficient correlation between $x$ and $y$ for the following data :

The ranking of the $10$ individuals at the start and on the finish of a course of training are as follows: 

Calculate spearman's coefficient of correlation(three digits after decimal place).

Find the spearman's rank correlation(three digits after decimal place) between marks in mathematics and statistics obtained by $10$ students: 

The final positions of twelve clubs in a football league and the average attendances at their home matches were as follows:

Calculate a coefficient of correlation(two digits after decimal place) by ranks and comment on your result. What other factors do you think might affect the number of spectators apart from the positions of the clubs in the league ?