Answer all questions with explanation

Chap 35 Suppose the 806 students who answered the Stat 100 survey were a random sample from a much larger populations (say all Stat 100 students over the last 5 years). The multiple regression equation predicting skipped classes from both # of drinks per week and # sexual partners: Skipped Classes= 0.1044 (Drinks) + 0.1317 (# Sex Partners) + Intercept fit our sample but how well would it fit the whole population? Let's test whether either slope is significant. Maybe just using the average # of skipped classes works just as well for the whole population? You may think: Of course our regression equation works better, we calculated the slopes to fit the data better. But here's the point-we calculated them to fit our particular sample, but there's a lot of random jitter in our sample, maybe there's too much random jitter and the error bars on our slopes are too big to work for other randon samples. Our model is of the form: Y = Bo + B1X1 + B2X2 + error (where the assumption is that the errors are independent and N(0, o2) Ho: All slopes = 0. Same as Y = Y. HA: At least one of the slopes # 0. In other words, either Bj # 0, or B2 = 0, or both # 0. a. Can we use either a Z or t test here? O Yes, we can use a Z of a t test for the one-tail test but we must use Chi-Sqaure or F for the 2 tail test. O No, because we have more than one slope and we need a way to assess both of the slopes at the same time. Yes, we can use Z= r/SE, for both slopes together just like we did for each separately in the simple regression. Submit Answer Tries 0/2 b. The multiple correlation coefficient is R=0.3845. Compute the Chi-Square statistic to test the null hypothesis listed above. x2 = 1 Submit Answer Tries 0/3 c. How many df for the Chi Square? Submit Answer Tries 0/3 d. Find the p value for the Chi Square test using this online calculator. (If you get a p-value less than 0.0001 then just round to 0.) Submit Answer Tries 0/3 e. Now compute the F-stat. F = Submit Answer Tries 0/3 f. How many degrees of freedom in the numerator? Submit Answer Tries 0/3 In the denominator? Submit Answer Tries 0/3 g. Find the p value for the F stat using this online calculator (If you get a p-value less than 0.0001 then just round to 0.)