(i) tut(1) = B_{0} +B_{1} trtime + u
tut(1) = 8.8207 +0.0094 trtime + u----- (From Set 1)
where trtime stands for usual travel time for university in minutes.The B_{0} coefficient implies that if the Travel time is zero a student attends approximately 8 Tutorials. The coefficient of trtime from set 1 i.e the value of B_{1} = 0.0094.This implies that as Travel time increases by 1 minutes the Number of Tutorials increases by 0.0094. The sign of B_{1} according to this particular study is positive which is contradicting my belief. I believe that as the time taken to Reach the university increases , the number of Tutorials attended should fall. Thus according to me the sign of B_{1} has to be negative.
(ii) tut(1) = B_{0}+ B_{1}trtime + B_{2} ATAR+ B_{3}yr12hrs + B_{4} age +B_{5}sex + u
tut(1) = 13.301 +0.07958 trtime + 0.0189 ATAR+0.067829 yr12hrs-0.3402 age + 0.11855 sex + u
After including other variables in the model the B_{1} coefficient in set 2 is 0.0795 while the value of B_{1} in set 1 is 0.0094 . When other variables were included the value of B_{1} falls . Thus when other variables like age sex and hours are included in the model a 1 minute increase in travel time increases the number of tutorial attended by 0.07.
(iii)
(v) The R squared value from the Set 3 is 0.0794 which implies that only 7 % of the change in Number of Tutorial attended depends on Usual Travel time, Australian Tertiary Entrance Rank, weekly hours of study during year 12 of high school , age and sex. Thus model 2 does not satisfactorily explain changes occurring Number of Tutorial attended.
Question 2 (15 marks in total] University students are expected to attend all classes within a...
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