00:01
In the question we are given that x is the variable that represents height and y is the shoe size.
00:11
So first of all, let us copy down the values of x and y.
00:15
And then total the values of x and the values of y.
00:20
First of all, we find mean x bar, which is sigma x upon n, that is 666 divided by 10, which is equal to 66 .6 .6.
00:30
Then we find y bar which is sigma y upon n that is 97 .5 divided by 10 which is equal to 9 .75.
00:42
Now to find the regression line of y on x we use the formula y is equal to a plus b y x into x.
00:53
First let us find b y x the formula of b y x is sigma x minus x bar into y minus y bar divided by sigma sigma x minus x bar whole square.
01:05
Substituting the values we get hundred divided by 200 which is equal to 0 .5.
01:11
Now let us find a.
01:15
A is equal to y bar minus b y x into x bar which is equal to 97 .5 minus 0 .5 into 66 .6 which is equal to minus 23 .55.
01:32
So, y, is equal to minus 23 .55 plus 0 .5 into x.
01:49
Now to find the correlation coefficient are we use the formula sigma x minus x bar into y minus y bar divided by square root of sigma x minus x bar whole square into square root of sigma y minus y bar whole square...