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Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X Y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 Use R to answer the following. Construct a scatterplot such that is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R. to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with your solution to part (a) and the second scatterplot with the estimated regression line with your solution to part (d).

Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X Y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 Use R to answer the following. Construct a scatterplot such that is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R. to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with your solution to part (a) and the second scatterplot with the estimated regression line with your solution to part (d).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where x is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 (a) Use R to answer the following. Construct a scatterplot such that x is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? (b) Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with your solution to part (a) and the second scatterplot with the estimated regression line with your solution to part (d).
Transcribed Image Text:Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where x is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 (a) Use R to answer the following. Construct a scatterplot such that x is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? (b) Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with your solution to part (a) and the second scatterplot with the estimated regression line with your solution to part (d).
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