00:01
Hello student, here we need to find out our f observed value and then we need to show that it is equal to our t square of observed value or we can say our critical values, critical t value square into our observed value.
00:25
Now here our f observed value will be for our mean square model by mean square error.
00:43
Now for our ms model this will be equal to our ms regression.
00:53
Now our v of i sxy is given in the question sxy by sx square into here sxy.
01:09
This will be equal to r into sx into sy by sx into sy into r here r into sx and sy.
01:27
Now in our ms model, ms model is r square into sy square and our mean square error is here our sum of square total minus sum of a square of regression.
01:51
So here our mean square error will be sy square minus r square into sy square.
02:01
That will be here if we take sy square common then we will be getting here 1 minus r square.
02:10
Here our f observed value is ms model by our mean square error.
02:21
So we will put our value our ms model is r square into sy square here by 1 by here our mean square error value we got sy square into 1 minus r square by n minus 2.
02:43
Now our f observed value will be here r square into n minus 2 by your 1 minus r square as here in the denominator sy square and denominator of sy square will be cancel the critical value observed value.
03:11
Let's say this our equation number one.
03:14
Here we have used the formula for above equation our mean square error is equal to sum of square of error by degree of freedom which will be here equal to our mean square error is equal to sum of square of error by n minus 2...