hello I just need help with the third and fourth part **Title: Exploring Relationships in a Quantitative Methods in Business Course**In a QMB 3600 - Quantitative Methods in Business course, students conducted research to analyze the correlation between Mid-Term Exam grades, average weekly study hours, and the Final Course Grade. A dataset was gathered from a previous semester and details are summarized in the following table:| Student # | Mid-Term Exam Grade | Average Number of Study Hours per Week | Final Course Grade ||-----------|---------------------|----------------------------------------|-------------------|| 1 | 50.0 | 2.0 | 65.0 || 2 | 60.0 | 4.0 | 85.0 || 3 | 55.0 | 3.5 | 78.0 || 4 | 85.0 | 6.0 | 90.0 || 5 | 55.0 | 3.0 | 70.0 || 6 | 72.0 | 4.5 | 89.0 || 7 | 75.0 | 6.5 | 91.0 || 8 | 45.0 | 3.0 | 65.0 || 9 | 88.0 | 5.5 | 89.0 || 10 | 90.0 | 7.5 | 96.0 |### Task Instructions:1. **Linear Regression Model Development:** - **Objective:** Create a linear regression model where Y represents the Final Course Grade and X is the Mid-Term Exam grade. - **Calculations Required:** - Coefficient of determination (\( r^2 \)) - Coefficient of correlation (\( r \)) - Variance (\( \sigma^2 \)) - **Hypothesis Testing:** Implement hypothesis testing with a 0.05 significance level as shown in the Triple A Construction Example on page 121 of your textbook. Ensure all computations align with the instruction given in Problem #1.2. **Scatter Diagram and Linear Regression Plot:** - Create a scatter plot using the data related to the Mid-Term Exam grades. - Overlay the linear regression model on this

Given information: Student Mid-term exam Average number of study hours per week Final Course…

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: Final Course Grade Average Number of study hours per week 2.0 4.0 3.5 Student # Mid-Term Exam Grade 50.0 60.0 65.0 85.0 1 3 55.0 78.0 4 85.0 6.0 90.0 55.0 5.0 70.0 72.0 4.5 89.0 6.5 3.0 5.5 7.5 75.0 91.0 65.0 89.0 96.0 8. 45.0 88.0 90.0 10 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. 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. 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. 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. .., 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.