00:01
All right, so for this problem to begin, we have that since we're told that this is simple linear regression, we have that the number of degrees of freedom for the regression would simply be equal to one.
00:12
The number of degrees of freedom total is going to be the number of degrees of freedom for the regression, 1, plus the number of error degrees of freedom, which is 10.
00:21
So we have 11 total degrees of freedom.
00:25
Then, to find the sum of squares for the error, we have that that is going to be equal.
00:31
To the ms error times the number of degrees of freedom of error, which is 10.
00:40
So we have the ss error should be 80, which means that ss total should be equal to 84, and ms regression must be equal to, well, ss for regression, which is four, divided by degrees of freedom regression, which would just be one.
01:08
So ms regression would be equal to 4.
01:11
Therefore, our f score is going to be equal to our ms regression 4 divided by the ms error, which was 8.
01:26
So our f score is equal to 4 over 8 or 0 .5.
01:32
Then, for finding the rejection region, we note that we have one numerator degree of freedom, and we have 10 denominator degrees of freedom...