00:01
Hello students, for the question e, to test for the significance of regression, we will use f test, which is given by f is equal to msr divided by mse, that is mean square regression and this is mean square error, that is equal to 385 .2 divided by 14 .01, so we got 27 .49.
00:42
Now the degrees of freedom for mean square error is equal to 1 and degrees of freedom for mean square regression is 1 and mean square error is 20.
00:59
So p value is equal to probability of f greater than 27 .49, which is equal to 0 .0, which is less than alpha value that is 0 .05.
01:15
So that we reject h naught and conclude that, the regression is significant.
01:36
Now, for the b equation, standard error of intercept is equal to 2 .005 and the standard error of slope is given by 0 .000767.
02:06
So this is the answer for b equation and for the c equation, for 95 % class interval, for the slope and intercept, we will use the t distribution with the degrees of freedom 20.
02:26
Here the critical value is 2 .086...