Question

A sample of 10 observations collected in a regression study on three variables, x_1(independent variable), x_2(independent variable and y(dependent variable). The sample resulted in the following data.
SSR=28, SST=34
Using a 0.01 level of significance, we conclude that the regression model is significant overall. (Enter 1 if the conclusion is correct. Enter 0 if the conclusion is wrong.)

Answer 1

From the given parameters, we are to do the F test here. The F test statistic here is computed as: (Note that m = 3 is the number of variables, and n = 10 is the number of observations )

Now for m - 1, n - m that is 2, 7 degrees of freedom, we get from the F distribution tables that:

P( F_2,7 > 0.75) = 0.51 > 0.01 which is the level of significance, therefore the test is not significant, and we cannot reject the null hypothesis here. therefore we dont have sufficient evidence here that the regression model is significant overall