00:01
So, to find out the correlation coefficient, r is equal to given by the formula n into sigma xy minus sigma x into sigma y by under root n into sigma x square minus sigma x whole square into n into sigma y minus sigma y whole square.
00:38
Here we need to construct a table to get sigma x, sigma y, xy, x square and y square.
00:48
So, here x values are minus 14, minus 12, minus 5, minus 8, minus 10, minus 11, minus 9, minus 7, minus 6 and minus 13.
01:09
So, here we get sigma x equal to minus 95.
01:13
Next for y, y values are minus 7, minus 5, minus 12, 12, 4, 1, minus 3, 2, 6, 9, minus 5.
01:41
So, here sigma y is equal to 14.
01:44
Next we can calculate x into y.
01:51
It is equal to 98, 60, minus 60, minus 32, minus 10, 33, minus 10, minus 18 and minus 42, minus 54, 65.
02:32
So this is sigma xy is equal to 40.
02:35
Now let's find x square.
02:41
196, 144, 25, 64, 100, 121, 81, 49, 36, 169.
02:57
So, sigma x square is equal to 985...