00:01
So we want to find the missing blanks for all these settings.
00:03
So we know that one of our relationships, let's start with a.
00:07
We know that we want to determine what these coefficients are and we know that the slope is equal to the r times the standard deviation of y over the standard deviation of x.
00:20
So we would have 0 .8 times the standard deviation of y, 4 .3, divided by the standard deviation of x, 1 .2.
00:30
And let's get what that is.
00:31
So 0 .8 times 4 .3 divided by 1 .2.
00:36
And that gives us a value of 2 .86 repeating.
00:43
Now that is our slope or b sub 1.
00:46
We also know that the equation goes through the x, this mean data point.
00:52
So we know that in taking this model of b sub 0 plus b sub 1x that we can find if we take that and plug in the y hat, yx hat and that the b sub 0 will be y hat minus b sub 1 times the x bar will be b sub 0.
01:18
So b sub 0 will equal the mean of the y which is 23 minus the slope which is that 2 .86 repeating times the x value which is the 29.
01:35
And so we will end up getting 2 .3 minus that value i had in my calculator times 29.
01:44
And that comes out to be negative 80 .83 repeating.
01:50
So we'll put that down.
01:52
So we'll have y hat equals negative 80 .83 repeating and then plus 2 .86 repeating times x.
02:06
Now we can do exactly the same thing for this one.
02:09
We know that and let's go with green.
02:12
We know that the slope is going to equal the r value which is negative 0 .7 times the standard deviation of y which is 2 .2 divided by the standard deviation of x which is 2 .3.
02:31
And so negative 0 .7 times 2 .2 divided by 2 .3 comes out to be approximately negative 0 .67.
02:44
It's 0 .6695 and so on.
02:47
And then the b sub 0 will end up being the y bar which is this 7 minus the slope and the slope is that negative 0 .67 times the x bar and the x bar is 8.
03:04
And so again i have this value in my calculator...