00:01
As for the given table in the question we have here in the solution of first part, first of all we have to find our value for x in the given table then y and we will find then x minus i'm sorry x multiplied by y the first column which we need to find here then x into x that is x squared so here's the table in which we have taken our value which is given for the years of education in x column y is for the average salary and then x into y multiplication of these two columns and then x squared so all the values are calculated over here so then we can find here sum of all values of x that is one zero eight secondly sum of all values of y which is 357 triple zeros then are for sum of x y which is 6 3 3 6 -7 -0 and r -value for sum of all values of x square which is 1840.
01:09
So now in the solution of this question you will find r value for a from the formula that is summation of all values of y, multiplied summation of x squared minus sum of all values of x into sum of all values of x into y divided by n multiplied by a sum of all values of x squared minus sum of all values of x to the whole square.
01:34
So when we put down our values over here as 357 -3 -0 -0 multiplied by 1814 minus 108 multiplied by 6361 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3.
01:56
Further divided by 7 multiplied by 1814 minus 108 -1 -4 whole square.
02:06
So when we calculate our value of a will be calculated as equal to minus 38721 .47 approximately.
02:18
Now for the b we will use our another formula n multiplied by x into y minus sum of all values of x, sum of y, divided by n into sum of values of x squared minus x square minus x square whole square.
02:38
So when you compute this will be equal to 5 -815 .28 with the same way.
02:46
So now we will substitute the values of amb in our regression formula.
03:05
So our standard format is y is equal to a plus x.
03:11
So our regression equation will be minus 38721.
03:18
47 plus 5815 .28x.
03:24
So here we have our solution for first part of the question...