00:01
In the question, let x represent the year and y represent the number of students and assume that x is equal to zero represents the represents the year that is 1984.
00:42
Now since we know that the equation of the line is y is equal to ax plus v.
00:49
So here a can be written as y bar minus bx bx bx bar and b can be found as summation of x minus x bar multiply by y minus y bar upon summation of x minus x bar whole square and we will have x bar is equal to summation of x upon n and y bar will be equal to summation of y upon n so first draw a table so for the x we will have 0 3 6 9 then we will have 12 then we will have 15 then we will have 18 and y it is given in the question first we have 39 then we will have 45 then we will have 52 then 61 then 72 then 78 then 85 now we will find x bar so this is equal to summation of x upon n which will be equal to 63 upon seven which will give 9 and if you will find y bar so this will be equal to 4 32 upon 7 which will give 9 and if we will find y bar so this will be equal to 4 32 upon 7 which will give 61 .7143.
02:13
So from here x minus x bar will be equal to minus 9, then we will have minus 6, then we will have minus 3 ,069.
02:22
And if we will find y minus y bar, so this will be equal to minus 22 .7143.
02:32
And then we will have minus 16 .7143, then we will have minus 16 .7143, then minus 9 .413 minus 9 .7143 then we will have minus 0 .7143 then 10 .2857 then we will have 16 .28257 then we will have 16 .28257 then 12 .2857 then we will have 16 .2857.
03:11
2857 then we will find x minus x bar square so minus 9 square is 81 then we will have 36 then we will have 9 0 936 and 81 and now we will find x minus x bar multiply by y minus y bar so this will give 204 .4 .486 then we will have 100 .2857 then 29 .1429 then we have 0 then 30 .8571 then we have 90.
03:54
Then 97 .7143 then 209 .5714144 then 209.
04:02
5771 4.
04:03
Now b will be equal to 672 upon 250 so this will be equal to 2 .6667 and a will be equal to 61 .7143 minus 2 .6667 multiplied by 9.
04:27
So this will be equal to 61 .7143 minus 24 .003 which will give 37 .03 which will give 37...