00:01
In this question, we have been given with y is equal to b plus a x and then the points are minus 3 comma 1, 3 comma 8, 5 comma 14, 9 comma 18 and 11 comma 26.
00:24
Here we need to find the least square regression line and the value of x when y is equal to 0 and the number of observation n is equal to 5.
00:38
Now summation x, y is equal to minus 3 into 1 plus 3 into 8 plus 5 into 14 plus 9 into 18 plus 11 into 26 which is equal to minus 3 plus 24 plus 70 plus 162 plus 286 is equal to 539.
01:13
Therefore, summation x, y is equal to 530, then summation x square is equal to minus 3 the whole square, 3 square plus 5 square plus 9 square plus 11 square which is equal to 9 plus 9 plus 25 plus 81 plus 121 which is equal to 245.
01:46
Therefore, summation x square is equal to 245.
01:52
Then summation x is equal to minus 3 plus 3 plus 5 plus 9 plus 11 which is equal to 25.
02:06
Therefore, summation x is equal to 25 and summation y is equal to 1 plus 8 plus 14 plus 18 plus 26 is equal to 67.
02:23
Summation y is equal to 67.
02:27
Now we are going to find the value of a and b...