00:01
Hi, i'm david and i'm here to have you answered your question.
00:03
Now let me bring up your question here.
00:06
In the question here, we're given the data from the 10 students about the number of the hour they study and the grade they obtained.
00:15
And now in the question 1, ask not to estimate the correction inward.
00:21
And because this one will be in tiptally the correlation between the number of the study and the grade, we can understand that.
00:28
The longer you study the better grade we should get and then this one implies that we expect the correlation is positive and that will be the option a here and then for the question 2 find the estimated slope so we know that the slope denoted by the p1 the formula will be the n times summation the x y and then minus summation of the x times summation of the y, dividing by the n times summission the x, square, minus summation of the x, totally square.
01:32
Now with the data set for our column, this one will be the x, and this will be the y, and then from the datacet set, then we need to find the n, and then the summation on the x, summation of the x, submission of the y, then submission of the x, y, then summation of the xy.
01:51
We pass the data into the calculator we will have 0 and then 63 0 .5 66 1 .5 69 2 75 2 .5 78 3 81 2 .5 84 4 87 4 .5 and 5 .5 you get the 96.
02:31
So we have totally we have an equal to the 15 dataset and from here we will have the n equal to the 15 and the x bar the sum of the x get equal to the 42 the sum of the x square equal to the 155 .5 then the sum of the y equal to the 829 sum of the xy equal to the 2 4 4 .5 so if we look into the formula we should get the b1 it will equal to the 15 times under 2 4 4 4 .5 minus sum the x times times sum of the y a 29 then divided by the 15 times times sum of x and then minus sum the x will be the 42 square and if we compute it we soon can the answer equal to the 3 .2 53 i will round this one to the three decimal places and then the next one we need to write the equation of the line to write the equation of the line i need to find the b0 and b0 equal to the y bar minus the b1 time with the x bar y bar equal to the 829 divided by the n minus p1 which is found equal to the 3 .253 then when the x bar will be the 42 divided by 15 and if we compute it we get equal to the 46 .157 and then we should be able to write down the equation y heart it will equal to the 46 .157 and then we will plus 3 .253 times with the x.
04:26
Let me change into the different color.
04:32
And that's going to be the answer for the question 3.
04:35
Now for the question 4, we will need to calculate the coefficient correlation r.
04:41
And the r here, it will equal to the n times summation under xy minus summation of the x times summation of y, divided by the square root of the n times summation of the x squared, under x totally square and then and times summation on the y square minus summation on the y totally square now it will compute this one which we can the answer it will equal to the 0 .1498 and then the next question here we will have i want to make sure this one good be let me compute again to make sure will be correct because i feel like this number is kind of very small.
05:37
So we have the 0 and then 63, 0 .5, 66, 1 .5, 69, 2, 75, 2 .5, 2 .5, 78, and then 3, 78 and then 3 .5 81 4 so let me start over again because i feel so it will be 0 with 63 so i have done this one and then 0 .5 with the 66 and then 1 .5 with the 69 and then 2 with the 75 2 .5 with the 78 3 with the 81 3 .5 with the 84 4 with the 87 and then 4 .5 with the 90 and then the last one will be 5 .5 with the 96 so sorry this one should be any goal to the 10 only.
07:35
Sorry about that.
07:36
And then the summation of the x equal to the 27.
07:41
And this one will have sum of the x square equal to the 100 .5...