Hi guys, can you please help me this question and explain your working? Thank heaps!

This question considers the number of graduate admissions for the six largest departments at U. C. Berkley in the autumn of 1973. The structure of the data is as follows: 'datan'rame': 24 obs. of 4 variables: $ Admit : Factor w/ 2 levels "Admitted","Rejected": 1 2 1 2 1 2 1 2 1 2 51; Gender: Factor w/ 2 levels "Male","Female": 1 1 2 2 1 1 2 2 1 1 $ Dept : Factor w/ 6 levels "A","B","C","D",..: 1 1 1 1 2 2 2 2 3 3 $ Freq : num 512 313 89 19 353 207 17 8 120 205 . We wish to investigate the relationships between Admission [1], Gender [2] and Department [3]. In this analysis we wish to know if these three factors are associated or not using Log-linear models. The outcome from fitting all possible log-linear models (using the three factors in the order given above) was: Model df Deviance 1 [1][2][3] 16 2097.67 2 [1][23] 11 877.06 3 [13] [2] 11 1242.35 4 [12] [3] 15 2004.22 5 [12] [23] 10 783.61 6 [13][23] 6 21.74 7 [12] [13] 10 1148.90 8 [12] [13][23] 5 20.20 9 [123] 0 0.00 a) Which model is the best one to explain the interrelationships among the three factors? Justify b) your selection. [2 marks] What table (or tables) would you recommend be constructed that will show the significance of interactions in your chosen model? [2 marks] What would the difference between models 3 and 6 be testing and what conclusion would you draw from this comparison? [2 marks] Which pair(s) of model(s) test the association between Admission and Gender? [2 marks] Given your answers above, what table (or tables) would you recommend presenting to the researcher that would most appropriately demonstrate the findings from your preferred model? [2 marks] Page 3 of 13 COS