00:01
Hello student, the given information is given related with the x and y variables.
00:05
The total number of variables n is equal to 10 here.
00:09
And we have to find the correlation coefficient that is r.
00:12
The formula to calculate the correlation coefficient is equal to summation of xi minus x bar into yi minus y bar divided by under root of summation of xi minus x bar bracket square into summation of yi minus y bar bracket square.
00:35
First we have to calculate the x bar and the y bar.
00:38
So to calculate x bar the formula is summation of xi upon n.
00:42
To calculate y bar the formula is summation of yi upon n.
00:47
And here 4 plus 6 plus 5 we get the summation 85.
00:51
So 85 divided by 10 we get the value of x bar equals to 8 .5.
00:56
Now summation of yi 20 plus 15 up to 17 we get the summation 107.
01:02
So 107 divided by 10 we get this value as 10 .7.
01:06
Now we have to calculate the xi minus x bar square.
01:10
So 4 minus value of x bar and then take square of it we get this value.
01:14
6 minus value of x bar and then take square of it we get this value.
01:17
Similarly do up to this and this is the nothing but the summation of xi minus x bar square.
01:23
Summation of xi minus x bar square is equal to 82 .5.
01:30
Next is summation of yi minus y bar square...