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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 2. 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: Average Number of study hours per week Student # Mid-Term Exam Final Course Grade Grade 50.0 2.0 65.0 60.0 4.0 85.0 55.0 3.5 78.0 85.0 6.0 90.0 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 Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam. Coofficient of determination (r?), the coefficient of correlation (r), the variance (o?) for the model a) 123 4nuD

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 2. 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: Average Number of study hours per week Student # Mid-Term Exam Final Course Grade Grade 50.0 2.0 65.0 60.0 4.0 85.0 55.0 3.5 78.0 85.0 6.0 90.0 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 Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam. Coofficient of determination (r?), the coefficient of correlation (r), the variance (o?) for the model a) 123 4nuD

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. 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 # Average Number of study hours per week Mid-Term Exam Final Course Grade Grade 1 50.0 2.0 65.0 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 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 Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam. a) 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 b) the same guidance proided in Problem #1 acer
Transcribed Image Text:2. 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 # Average Number of study hours per week Mid-Term Exam Final Course Grade Grade 1 50.0 2.0 65.0 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 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 Develop a linear regression model, where Y is the Final Grade Course and X is the Mid-Term Exam. a) 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 b) the same guidance proided in Problem #1 acer
os/u-7d5fb 570a2de7bb8f997c321ec3d3f511b53d7b4/MyFiles/CDownloads/QMB%203600-97216%20Fal|%202021%20-%20Rodri- es- Chapter 4 Problems.pdf 212 100 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) 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) 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. Develop a linear regression model, where Y is the Final Grade Course and X is the Average Number of d) 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) Based on the coefficient of determination (r) for each linear regression models developed, which of the two linearregression models should be used to predict the Final Grade in QMB 3600 and explain your decision.
Transcribed Image Text:os/u-7d5fb 570a2de7bb8f997c321ec3d3f511b53d7b4/MyFiles/CDownloads/QMB%203600-97216%20Fal|%202021%20-%20Rodri- es- Chapter 4 Problems.pdf 212 100 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) 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) 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. Develop a linear regression model, where Y is the Final Grade Course and X is the Average Number of d) 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) Based on the coefficient of determination (r) for each linear regression models developed, which of the two linearregression models should be used to predict the Final Grade in QMB 3600 and explain your decision.
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