00:01
Hello student here in this question they are given that we need to find a mean value of x bar and y bar so let us find that where they are also given a table from this we can write that mean of x bar equal to summation of xi divided by n the summation of xa means adding a total value of x so adding means we get the value is 45 plus 50 plus 55 plus 40 plus 52 plus 48 plus 60 is total divided by n means the number of counts of x the number of n x are 7 so while adding this we get the value of 350 is divided to 7 and the value will be 50 so this is our mean of x bar we need to find y bar so here as usual similarly, y bar equal to summation yi divided by n.
01:06
Summation y a total value of 5.
01:08
That is 30 plus 25 plus 25 plus 40 plus 26 plus 15 is totally divided by 7.
01:21
So here 196 divided by 7, the answer will be 28.
01:25
This is a mean of x bar and y bar.
01:28
So we need to find let us put a table that is x value y value we need to find a capital x capital x means x minus x bar and here why capital y capital y means y minus y bar from that you can write the x values that is 45 50 55 40 42 48 and last is 60 and y value is 30 and y value is 30 25 25 40 26 35 15 15 and x bar value is 50 while subtracting we give the values as 5 0 5 minus 10 2 minus 2 10 and here y value will be 2 minus 3 minus 3 12 minus 2 minus 2 30 so so here are all the capital x and capital y value we need to find an x square and capital x square and capital y square value.
02:46
Here we need to find capital x square value and y square value and we need to find x minus y.
02:55
While calculating the value we get that 25, 0, 25, 100, 4, 400.
03:05
And y square value will be.
03:06
9 914 4 49 is 169 so x minus y value will be minus 10 0 minus 15 minus 120 minus 4 minus 130 so summation of x will be 0 summation of y will be 0 and summation of x square will be 258 summation of y square will be 38 and summation of x minus y will be 293 minus 293 so from this we can write that that is here the value so from this we can write that b y x equal to summation of x divided by summation of x square so summation of x by meaning there we have the value that is minus 293 divided by 258 where resolving this we get the value as minus 1 .13 5a so regression line formula we have that y minus y bar equal to b y x is multiplied to x minus x bar right so while applying the value we get that y minus 28 minus 1...