00:02
Hello students, in this question we have to find out the correlation coefficient as per the definition of y.
00:08
So first of all we have to find out the correlation coefficient.
00:12
So here x bar equal to 1 of 5 plus 1 of 9 divided by 5 it is equal to 178.
00:31
And now here y bar equal to 7 plus and so on plus 9 plus 9 divided by 5 equal to 15 .2.
00:43
So here summation x i minus x bar whole square that is equal to 1 of 5 minus 178 whole square plus and so on plus 1 of 9 minus 178 whole square it is equal to 26012.
01:06
And now summation y i minus y bar whole square it is equal to 7 minus 7 minus 15 .2 whole square plus and so on plus 9 minus 15 .2 whole square it is equal to 662 .8.
01:29
And now summation x i minus x bar into y i minus y bar y i minus y bar it is equal to 1 of 5 into 1 of 5 minus 178 into 7 minus 15 .2 plus and so on plus 1 of 9 minus 178 into 9 minus 15 .2 it is equal to 2050.
02:01
And now we have to find out the r value.
02:04
So formula for this r is summation x summation x i minus x bar into y i minus y bar y i minus y bar by square root of summation x i minus x bar whole square into summation y i minus y bar whole square.
02:28
So after plugging all the values in this formula we get r equal to r equal to 2050 divided by square root of 26012 into 662 .8 it is equal to 0 .4937...