2. Education literature has shown that students with higher socio-economic status (SES) tend to have stronger academic achievement. (a) Test at the level of signicance of 5% whether students whose parents have a post-graduate qualication have a higher GPA than students whose parents have only an undergraduate qualication. (1 mark) (b) Test at the level of signicance of 5% if students whose parents have an undergraduate qualication have a higher GPA than students whose parents have only a secondary or below qualication. (1 mark) Note: When conducting a test in Q1 and Q2, you should discuss briey whether it is a one or two tail test, the test statistics, any assumptions made and draw a conclusion based on Excel output. Task 2 (Regression Analysis) You plan to develop a regression model to further investigate how various factors inuence students' GPA in the Science Department. 3. Before you conduct any regression analysis, you use Excel to construct a correlation matrix of all the quantitative variables in the dataset. Based on the correlation matrix, comment briey on the direction and strength of linear associations between GPA and other quantitative variables (viz. HS_SCI, HS_ENG, HS_MATH and ATAR). (2 marks)