-A professor from a 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: # of Students Mid-Term exam Study hours per Final course grade week grade 50.0 2.0 65.0 60.0 4.0 85.0 55.0 3.5 75.0 4 85.0 6.0 90.0 55.0 5.0 70.0 72.0 4.5 89.0 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. Calculate the coefficient of determination (r 2 ), the coefficient of correlation (r), the variance (o 2) for On 1. 2. 3. 5.
-A professor from a 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: # of Students Mid-Term exam Study hours per Final course grade week grade 50.0 2.0 65.0 60.0 4.0 85.0 55.0 3.5 75.0 4 85.0 6.0 90.0 55.0 5.0 70.0 72.0 4.5 89.0 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. Calculate the coefficient of determination (r 2 ), the coefficient of correlation (r), the variance (o 2) for On 1. 2. 3. 5.
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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Paragraph
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Editing
-A professor from a 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:
# of Students
Mid-Term exam
Study hours per
Final course
grade
week
grade
1
50.0
2.0
65.0
60.0
4.0
85.0
55.0
3.5
75.0
4
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
6.
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.
Calculate the coefficient of determination (r 2 , the coefficient of correlation (r), the variance (o 2) for
Text Predictions: On"
Transcribed Image Text:ont
Paragraph
Styles
Editing
-A professor from a 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:
# of Students
Mid-Term exam
Study hours per
Final course
grade
week
grade
1
50.0
2.0
65.0
60.0
4.0
85.0
55.0
3.5
75.0
4
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
6.
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.
Calculate the coefficient of determination (r 2 , the coefficient of correlation (r), the variance (o 2) for
Text Predictions: On

Transcribed Image Text: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
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 2), the coefficient of correlation (r), the variance (a 2 ) for
the model and apply Hypothesis Testing to test the significance of the linear model for a = 0.05 exactly
Plot a scatter diagram for the data used in topic (a) and plot the linear regression model as well.
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 2), the coefficient of correlation (r),
the variance (o 2) for the model and apply Hypothesis Testing to test the significance of the linear
model for a = 0.05
Plot a scatter diagram for the data used in topic (c) and plot the linear regression model as well.
Based on the coefficient of determination (r.2) 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.
ions: On
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