1. (continued) The following results were obtained: 15 5 5 75 22 2 2 4 5 5 o 30 _ 2 16 s 2 XTX= , (XTX) 1=i , 5 0 5 25 30 2 3 13 1 75 30 25 415 4 2 1 1 420 16 ,. 2 130 A -2 20-3)) =120, XTY: 170 ' B: 8 ' _ 2 =520. 2170 2 >30 y) b) Perform the signicance of the regression test at 0!. = 0.05 Specify the null and the alternative hypotheses. Report the value of the test statistic, the critical value(s), and the decision. c) We wish to test if the relationship between the crop yield and the amount of fertilizer used is the same for all three brands of soybeans. Perform the appropriate test at 0t = 0.05. Specify the null and the alternative hypotheses. Report the value of the test statistic, the critical value(s), and the decision. Show ALL work. d) We wish to test if the amount of fertilized affects the crop yield. Test H0 : B 3 = 0 vs. H1 : B 3 at 0 at OL = 0.05. Report the value of the test statistic, the critical value(s), and the decision