00:01
To solve this question we will observe few steps.
00:03
So in the step 1, we will find out the value of x and y's product that is x dot y or x and y's product and we will find the value of x square and it will be done consequently.
00:22
So in the first step we will form x, y, x dot y and x dot x that is nothing but x square.
00:32
So we will give demarcation over here so that it is easier for us to understand.
00:39
So we write here 3, 2, 5, 6, 3, 5, 7, 7 then we have 6, 6.
00:57
So x dot y is what? 3 multiplied with 2 is 6, 5 multiplied with 6 is 30, 3 multiplied with 5 is 15, 7 multiplied with 7 is 49, 6 multiplied with 6 is 36.
01:09
X dot x is what? it is 3 multiplied with 3 giving us 9, 5 multiplied with 5 is 25, 3 multiplied with 3 giving us 9 again, 7 multiplied with 7 giving us 49, 6 multiplied with 6 giving us 36.
01:24
We will find the sum of each column so we write therefore summation of x will give us 24, summation of y will give us 26.
01:36
Similarly, summation of x dot y will give us 136 and summation of x square that is x multiplied with x giving us 128.
01:49
Now we will use the following equations to find the value of a and b.
01:54
So we write therefore a is equals to what? a is equals to summation of y multiplied with summation of x square minus summation of x multiplied with summation of x multiplied with y.
02:10
This is divided by what? this is divided by n that is the sample size which is multiplied with summation of x square minus inside the brackets we write summation of x whole square...