2. (5 POINTS) Students in QMB 3600- Quantitative Methods in Business course decided to research the relationship between the Mid Term Exam, the average number of study hours spent per week during the semester and the final course grade for a given student. A sample of containing data from a previous semester was provided by the instructor and summarized in the following table: Student # Mid-Term Exam Average Number of Final Course Grade Grade study hours per week 1 50.0 2.0 65.0 IN 60.0 4.0 85.0 3 55.0 3.5 78.0 4 85.0 6.0 90.0 5 55.0 5.0 70.0 6 72.0 4.5 89.0 7 75.0 6.5 91.0 8 45.0 3.0 65.0 88.0 5.5 89.0 10 90.0 7.5 96.0 a) (1.0 POINT) Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam. Calculate the coefficient of determination (r?), the coefficient of correlation (r), the variance (o?) for the model and apply Hypothesis Testing to test the significance of the linear model for a = 0.05 exactly as demonstrated in the Triple A Construction Example on page 121 of your textbook. Show all your calculations and follow the same guidance provided in Problem #1. b) (1.0 POINT) Plot a scatter diagram for the data used in topic (a) and plot the linear regression model as well. Follow the same guidance provided in Problem #1. c) (1.0 POINT) Develop a linear regression model, where Y is the Final Grade Course and X is the Average Number of Study Hours per week. Calculate the coefficient of determination (r'), the coefficient of correlation (r), the variance (o') for the model and apply Hypothesis Testing to test the significance of the linear model for a = 0.05 exactly as demonstrated in the Triple A Construction Example on page 121 of your textbook. Show all your calculations and follow the same guidance provided in Problem #1. d) (1.0 POINT) Plot a scatter diagram for the data used in topic (c) and plot the linear regression model as well. Follow the same guidance provided in Problem #1. e) (1.0 POINT) Based on the coefficient of determination (r?) for each linear regression models developed, which of the two linear regression models should be used to predict the Final Grade in QMB 3600 and explain your decision