PART II: Place your answers on the provided answer pages. Be sure to answer all parts. 3. Professor Video, a college psychology instructor, wants to determine if there is a negative linear correlation between a student's GPA and the number of hours a student spends playing video games per week. She randomly selected twenty students from all her classes and detemmined their number of hours playing video games per week and their GPA. The sample results were: GPA: 4.00 2.50 3.95 3.90 3.80 2.90 3.10 3.25 1.35 4.00 Hrs. Playing: 1 16 4 5 o 15 6 9 14 9 GPA: 1.95 2.75 2.98 2.90 1.50 2.20 3.00 3.15 2.70 2.80 Hrs. Playing: 15 11 12 10 18 9 5 1 15 17 (GPA SUMS: EX = 58.68 YX² = 183.7054) (HRS SUMS: EX = 198 EX² = 2500) 3A. Identify the Dependent variable and the Independent variable. Dependent variable is:. Independent variable is: 3 B. Label the axes and construct a scatter diagram 3C. Compute the sample correlation coefficient, r. 3 D. Calculate the coefficient of determination & explain this result in terms of the dependent and independent variable. Coefficient of determination: Explanation: 3E. Write the Regression line equation for the relationship between a student's GPA and the number of hours a student plays video games per week. 3F Use the Regression equation to predict the GPA of a student who plays 14 hours of video games per week.
PART II: Place your answers on the provided answer pages. Be sure to answer all parts. 3. Professor Video, a college psychology instructor, wants to determine if there is a negative linear correlation between a student's GPA and the number of hours a student spends playing video games per week. She randomly selected twenty students from all her classes and detemmined their number of hours playing video games per week and their GPA. The sample results were: GPA: 4.00 2.50 3.95 3.90 3.80 2.90 3.10 3.25 1.35 4.00 Hrs. Playing: 1 16 4 5 o 15 6 9 14 9 GPA: 1.95 2.75 2.98 2.90 1.50 2.20 3.00 3.15 2.70 2.80 Hrs. Playing: 15 11 12 10 18 9 5 1 15 17 (GPA SUMS: EX = 58.68 YX² = 183.7054) (HRS SUMS: EX = 198 EX² = 2500) 3A. Identify the Dependent variable and the Independent variable. Dependent variable is:. Independent variable is: 3 B. Label the axes and construct a scatter diagram 3C. Compute the sample correlation coefficient, r. 3 D. Calculate the coefficient of determination & explain this result in terms of the dependent and independent variable. Coefficient of determination: Explanation: 3E. Write the Regression line equation for the relationship between a student's GPA and the number of hours a student plays video games per week. 3F Use the Regression equation to predict the GPA of a student who plays 14 hours of video games per week.
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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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:PART II: Place your answers on the provided answer pages. Be sure to answer all parts.
3. Professor Video, a college psychology instructor, wants to determine if there is a negative linear correlation between a
student's GPA and the number of hours a student spends playing video games per week. She randomly selected twenty
students from all her classes and detemmined their number of hours playing video games per week and their GPA. The sample
results were:
GPA:
4.00 2.50 3.95
3.90 3.80
2.90
3.10
3.25
1.35
4.00
Hrs. Playing: 1 16 4 5 o 15 6 9 14 9
GPA:
1.95
2.75 2.98 2.90 1.50
2.20 3.00 3.15
2.70
2.80
Hrs. Playing: 15 11 12 10 18
9 5 1 15 17
(GPA SUMS: EX = 58.68 YX² = 183.7054) (HRS SUMS: EX = 198 EX² = 2500)
3A. Identify the Dependent variable and the Independent variable.
Dependent variable is:.
Independent variable is:
3 B. Label the axes and construct a scatter diagram
3C. Compute the sample correlation coefficient, r.
3 D. Calculate the coefficient of determination & explain this result in terms of the dependent
and independent variable.
Coefficient of determination:
Explanation:
3E. Write the Regression line equation for the relationship between a student's GPA and the number of hours a student
plays video games per week.
3F
Use the Regression equation to predict the GPA of a student who plays 14 hours of video games per week.
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