00:03
Now in this question, basically, we'll ask you to run a linear regulation, right, of the accusment credit, consumer credit, and the number of years from 2000, right? some data given in this table.
00:20
So to do the, to find this linear regulation equation, we have to obtain a few quantities.
00:26
First, we need to obtain the average of x, right, which is the year.
00:30
I'm going to call it x and this is y, right? so that's easy to do.
00:35
So you know that this is four, right, four years from 2000, and this is five and six, seven, eight, right? it's just sum over them.
00:44
So you get nine, then 15, and then 22, and 30, third divided by five, that gives you six.
00:51
And we also want to find the average of why, that is to sum over those numbers divided by five.
00:57
And so the sum of them is given, i would find to be given by two, two, two, two, 210 .5 plus 2350 .8 plus 2437 .0 plus 2437 .0 plus 2551 .9 .9.
01:26
And of course, divide this by 5 .5 .8.
01:33
Five.
01:34
So the next quantity we need to find actually is the x squared average, and that of course is easy as well.
01:43
So that will be given by basically four squared plus five squared plus six squared plus seven squared.
01:51
And we find 16, four square is 16 plus five squared, which is 25 plus and then 36, and then 49 and then, of course, plus 64.
02:03
And we also have to divide this actually by five.
02:07
And then found this to be given by 38.
02:11
And we also have to find the average of the product.
02:14
That's also given by, you know, just to multiply the four times this consumer credit of this year and similarly for all the other years and put them together, right? so i found this to be given by four.
02:26
So i'll find this to actually be actually given by four times 2 -20 .5 plus 5 times 2 .350 .8 and plus 6 times 2437 times 5 times 4, 5, 6, not 7, sorry, not 5, 7 times, 7 times 255, 1 .9, and finally you have 8 times 259, 2 .1 .1.
03:02
And then divided by 5, right? and i found the answer to be actually given by 1 ,4763 .6.
03:11
Now, we have all the quantities, we need to get an equation, right? the linear equation, which we normally write it as, we normally write as y equals y not plus a times x, right? so, and a is a slope and y not is intercept.
03:33
Right.
03:33
So let's find the slope force.
03:35
The slope is actually given by xy, average minus y, x over, you know, x squared minus x squared, right? and if you substitute the numbers, you'll find, of course, this to be given by 1 ,476 .6 .6 minus the average of x and that of y, right? so the 6 times 2428 .5, and then divided by 38, 38, no, 38 minus x square 36.
04:18
And i find this actually being by 96 .3...