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For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y = axial strength (MPa) on x = cube strength (MPa) based on the following sample x 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 Y 75.2 71.2 57.9 48.7 74.0 73.2 68.2 59.2 57.9 48.1 A USE SALT (a) Obtain the equation of the least squares line. (Round all numerical values to four decimal places.) y = -32.261 +0.99171x Interpret the slope. O A one MPa decrease in cube strength is associated with an increase in the predicted axial strength equal to the slope. O A one MPa increase in cube strength is associated with an increase in the predicted axial strength equal to the slope. O A one MPa decrease in axial strength is associated with an increase in the predicted cube strength equal to the slope. O A one MPa increase in axial strength is associated with an increase in the predicted cube strength equal to the slope. (b) Calculate the coefficient of determination. (Round your answer to four decimal places.) 0.629 Interpret the coefficient of determination. O The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that cannot be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that cannot be explained by variation in cube strength. O The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that can be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that can be explained by variation in cube strength. (c) Calculate an estimate of the error standard deviation a in the simple linear regression model. (Round your answer to three decimal places.)

For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y = axial strength (MPa) on x = cube strength (MPa) based on the following sample x 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 Y 75.2 71.2 57.9 48.7 74.0 73.2 68.2 59.2 57.9 48.1 A USE SALT (a) Obtain the equation of the least squares line. (Round all numerical values to four decimal places.) y = -32.261 +0.99171x Interpret the slope. O A one MPa decrease in cube strength is associated with an increase in the predicted axial strength equal to the slope. O A one MPa increase in cube strength is associated with an increase in the predicted axial strength equal to the slope. O A one MPa decrease in axial strength is associated with an increase in the predicted cube strength equal to the slope. O A one MPa increase in axial strength is associated with an increase in the predicted cube strength equal to the slope. (b) Calculate the coefficient of determination. (Round your answer to four decimal places.) 0.629 Interpret the coefficient of determination. O The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that cannot be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that cannot be explained by variation in cube strength. O The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that can be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that can be explained by variation in cube strength. (c) Calculate an estimate of the error standard deviation a in the simple linear regression model. (Round your answer to three decimal places.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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i think the formula i may be using is incorrect for part c) how should that be solved?

For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y = axial strength (MPa) on x = cube strength (MPa) based on the following sample data: 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 75.2 71.2 57.9 48.7 74.0 73.2 68.2 59.2 57.9 48.1 n USE SALT (a) Obtain the equation of the least squares line. (Round all numerical values to four decimal places.) y = -32.261 + 0.99171x Interpret the slope. O A one MPa decrease in cube strength is associated with an increase in the predicted axial strength equal to the slope. A one MPa increase in cube strength is associated with an increase in the predicted axial strength equal to the slope. A one MPa decrease in axial strength is associated with an increase in the predicted cube strength equal to the slope. O A one MPa increase in axial strength is associated with an increase in the predicted cube strength equal to the slope. (b) Calculate the coefficient of determination. (Round your answer to four decimal places.) 0.629 Interpret the coefficient of determination. The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that cannot be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that cannot be explained by variation in cube strength. The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that can be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that can be explained by variation in cube strength. (c) Calculate an estimate of the error standard deviation o in the simple linear regression model. (Round your answer to three decimal places.) 6.674 X MPa
Transcribed Image Text:For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y = axial strength (MPa) on x = cube strength (MPa) based on the following sample data: 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 75.2 71.2 57.9 48.7 74.0 73.2 68.2 59.2 57.9 48.1 n USE SALT (a) Obtain the equation of the least squares line. (Round all numerical values to four decimal places.) y = -32.261 + 0.99171x Interpret the slope. O A one MPa decrease in cube strength is associated with an increase in the predicted axial strength equal to the slope. A one MPa increase in cube strength is associated with an increase in the predicted axial strength equal to the slope. A one MPa decrease in axial strength is associated with an increase in the predicted cube strength equal to the slope. O A one MPa increase in axial strength is associated with an increase in the predicted cube strength equal to the slope. (b) Calculate the coefficient of determination. (Round your answer to four decimal places.) 0.629 Interpret the coefficient of determination. The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that cannot be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that cannot be explained by variation in cube strength. The coefficient of determination is the proportion of the observed variation in axial strength of asphalt samples of this type that can be attributed to its linear relationship with cube strength. O The coefficient of determination is the number of the observed samples of axial strength of asphalt that can be explained by variation in cube strength. (c) Calculate an estimate of the error standard deviation o in the simple linear regression model. (Round your answer to three decimal places.) 6.674 X MPa
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