G) Is the coefficient estimate for the ATAR requirement statistically different than zero at the 5% level of significance?

G)  Is the coefficient estimate for the ATAR requirement statistically different than zero at the 5% level of significance? Set-up the correct hypothesis test using the results found in the table in Part (G) using both the critical value and p-value approach. Interpret the coefficient estimate of the slope. (2 Marks)

H)  Interpret the remaining slope coefficient estimates. Discuss whether the signs are what you are expecting and explain your reasoning. (2 Marks)

I)    Interpret the value of the Adjusted R2. Is there a large difference between the R2 and the Adjusted R2? If so, what may explain the reasoning for this? (1/2 Mark)

J)    Is the overall model statistically significant at the 5% level of significance? Use the p-value approach. (1/2 Mark)

K)  Based on the results of the regressions, what other factors would have influenced graduate salary? Provide a couple possible examples and indicate their predicted relationship with graduate salary if they were included. (1 Mark)

L)   Predict the average graduate salary of a student enrolled in a ATN in Victoria that has an ATAR requirement of 80 and a student satisfaction of 75 if it is appropriate to do so. Show the predicted regression equation. (1 Mark)

M) Do the results suggest that the data satisfy the assumptions of a linear regression: Linearity, Normality of the Errors, and Homoscedasticity of Errors? Show using scatter diagrams, normal probability plots and/or histograms and Explain. (2 Marks)

N)  Given that student enrolment varies across universities, does this data indicate the true population distribution of graduate salaries ofbusiness students? Explain and if not, describe a sampling procedure that could lead to more accurate results. (1 Mark)