BSB123: Regression Analysis - Data Analysis - Research Report Assessment Answer

Research Report Assessment Task

Task 1 (Boxplot and t-tests)

1. (a) Discuss the distributional aspects of the GPA for male and female science students, and support your statements using graphical (histograms of boxplots). You should be aiming to discuss aspects of central location, spread and skewness.

(b) Recent research showed that in mathematics “on average for 15-year-old Australian students, females achieved at a significantly lower level than male students” (p.2, Buckley 2016)3 . However, there is also research evidence that, “despite the stereotype that boys do better in math and science, girls have made higher grades than boys throughout their school years for nearly a century” (APA 2014)4. So it is not certain if one gender performs better than the other at university. Test if there is any difference in GPA on average between male and female students in the Science Department at the level of significance of 5%.

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 significance of 10% whether students whose parents have a post-graduate qualification have a higher GPA than students whose parents have only an undergraduate qualification.

(b) Test at the level of significance of 10% if students whose parents have an undergraduate qualification have a higher GPA than students whose parents have only a secondary or below qualification.

Task 2 (Regression Analysis)

You plan to develop a regression model to further investigate how various factors influence 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 briefly on the direction and strength of linear associations between GPA and other quantitative variables (viz. HS_SCI, HS_ENG, HS_MATH and ATAR). Is there anything unusual about any of the signs of the correlations?

4. Based on the correlation matrix obtained in Question 3, would you say that:

(i) HS_SCI is a predictor of GPA?

(ii) HS_ENG is a predictor of GPA?

(iii) HS_MATH is a predictor of GPA?

(iv) ATAR is a predictor of GPA?

Conduct simple regression to support your answers to questions (i) to (iv).

5. You conduct a stepwise regression according to the following step by step procedure:

Step 1: HS_SCI only

Step 2: HS_SCI and HS_ENG

Step 3: HS_SCI, HS_ENG and HS_MATH

Step 4: HS_SCI, HS_ENG, HS_MATH and PARENT EDUC

Step 5: HS_SCI, HS_ENG and HS_MATH, PARENT EDUC AND GENDER

Step 6: HS_SCI, HS_ENG and HS_MATH, PARENT EDUC, GENDER and ATAR

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