Level of significance for F < 0.0001 The correct interpretation of the F-statistic, given the results of the regression, is that at the 1 percent significance level: A. all three of the slope coefficients are not equal to zero. B. at least one of the slope coefficients is not equal to zero. C. none of the slope coefficients are significantly different from zero. D. at least one of the slope coefficients or the intercept are not equal to zero. Please provide the answer with an explanation. I don’t understand the explanation for the answer. *******ANSWER********************* B Explanation: The F-test tests the null hypothesis that all of the slope coefficients (not including the intercept) are equal to zero, versus the alternative that at least one of them is not equal to zero. The p-value of the F-test is less than 0.0001, which indicates the null can be rejected and Ernst can conclude that, based on the F-test, at least one of the coefficients is not equal to zero. In this case, for the level of significance 0.0001 < 0.01 so you can’t reject P. Why have they rejected P in this example?
You’ve got this a little mixed up deep. The p-value is the lowest significance level at which you could reject the null. Since this number is below .01 you CAN reject the null at all resonable significance levels. The F test won’t tell you about an individual coefficient (you have to do individual t-tests on each coefficeint for that).
^ well said. the F test tells you whether at least one of the coefficients is statistically significant. just like he said, you have to do actual t tests on each one to figure out which ones are. the F test is testing the hypothesis that all slope coefficients = 0. so here since F is so tiny you know that at least 1 coefficient is going to not equal 0.
ahh, I see thanks mwvt9 and banny, so if it was greater than 0.01 than we could not reject the null. Since it is less than 0.01 we can reject the null for the F-Test. Edit: had to add banny in there too 
Right. Remember that the p-value stands for the POWER of the test. The p-value tells you at what level you can reject the null. So at .56 you could reject the null at the 56% level (not real powerful) and at .001 you could reject at .1% (very powerful).
p values are like golf scores, lower is all powerful. my p-value is quite high. double bogie city.
lol still got two weeks to reduce it…I have my money on a majority of the AF regulars passing.