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-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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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: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
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
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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