Question

(i) tut(1) = B0 +B1 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 B0 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 B1 = 0.0094.This implies that as Travel time increases by 1 minutes the Number of Tutorials increases by 0.0094. The sign of B1 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 B1 has to be negative.

(ii) tut(1) = B0+ B1trtime + B2 ATAR+ B3yr12hrs + B4 age +B5sex + 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 B1 coefficient in set 2 is 0.0795 while the value of B1 in set 1 is 0.0094 . When other variables were included the value of B1 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.

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