00:01
So our question says the number of models and rubries per 1000 population for a random selection of states is shown to be.
00:08
So we have our data sets for models and we have that for rubries.
00:12
And the question says we should compute the correlation coefficient.
00:16
So let's go to our worksheet.
00:18
Down here we have moderas which are represented as x and we have robies which are represented as y.
00:24
So to compare our correlation, to compute our correlation coefficient, we are going to be using form.
00:30
That says that r is equal to n summation x y minus a summation x times summation y we have summation y here divided by the square roots of n summation x squared minus summation x all squared times n summation y squared minus summation y all squared so this is the formula that can help us to calculate the correlation coefficients for our data set so we need the value of x y we need the value of summation x summation x summation y summation y squared and submission y all squared also the n is the size of a data set and as you can see we have six data sets here meaning our n is equals to six so let's use a calculator to get the value to do some of the arithmetic over here so for xy let's start with xy 51 .91 times 1 .97 we have our answer to be 102 .2627 60 .65 times 1 .96 we have our answer to be 118 .874 59 .56 times 2 .06 we have our answer to be 1 .22 .6 .6 .6.
01:59
We have our answer to be 1 .22 .6936 56 .56 times 2 .04 we have our answer to be 107 .834, 44, 45 .12 times 2 .00.
02:18
We have our answer to be 90 .24.
02:22
And 44 .21 times 1 .96.
02:26
We have our answer to be 86 .6516.
02:30
So the next thing is for us to get the value of x squared, meaning we squared everything here.
02:35
So we have 51 .91 squared.
02:38
We have our answer to be 2694 .6481.
02:47
60 .65 squared.
02:49
We have our answer to be 3678 .8 .4 -225.
02:57
59 .56 squared.
02:59
We have this to be 3547.
03:01
7 .3936 52 .86 all squared we have this to be 2794 .1796.
03:18
45 .12 squared we have this to be 2035 .814 and 44 .2 squared we have our answer to be 1955 .814 .2 squared we have our answer to be 1954 .5 .5 .5 .5 .5 4 1 okay we can clean everything here so why squared 1 .97 squared we have our answer to be 3 .76 we are 1 .96 squared we have our answer to be 3 .8416 2 .062 .06 squared we have our answer to be 4 .846 2 .06 squared we have our answer to be 4 .2436 2 .04 squared we have our answer to be 4 .24 1 .1616.
04:21
2 .00 squared is 4 .00 and 1 .96 squared we have our answer to be 3 .8416.
04:40
So now that we have each of this, we have to get the summation of x, y.
04:44
That's the sum of everything here, the sum of everything here, the sum of practically the whole thing.
04:51
So we have a 151 .1 .5.
04:53
If it's 1 .5 .1 .1.
04:53
1 .91 plus 60 .65 plus 59 .56 plus 52 .86 plus 45 .15 plus 45 .12 plus 44 .21.
05:13
We have our answer to be summation x is equal to 314 .31.
05:21
So let's work with summation y.
05:22
So for summation y, we have 1 .97 plus 1 .96.
05:29
Plus 2 .06 plus 2 .04 .2 .00 plus 1 .96...