Bivariate Data and Probability - Science Majors - Engineering Assignment Help

Assignment Task :

Question 1 Science Majors
The Science Department of a Queensland university wants to investigate how students’ high school scores in Maths (HS_MATH), Science (HS_SCI) and English (HS_ENG), their gender (GENDER) and their parents’ highest level of education (PARENT EDUCATION) relate to GPA. The dataset is contained in the file: GPA.xlsx. Based on the dataset, answer the following questions.
a) Using the Correlation function in Data/Data Analysis, construct a correlation matrix for the quantitative variables: GPA, HS_MATH, HS_SCI and HS_ENG, and comment on the direction and strength of the three (3) correlation coefficients between high school scores and GPA.

b) To investigate if parent’s education and gender of student are related, we can use the Pivot Table in Excel to cross tabulate GENDER and PARENT EDUCATION. Copy and paste the pivot table output onto your answer sheet and use the table to answer the following questions.
i. If we randomly select a student what is the probability that the student has parents with post graduate education?
ii. Given the student is female, what is the probability that the student has parents with secondary or below education?
iii. Would you say PARENT EDUCATION and GENDER are dependent or independent? Explain briefly.
 

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