Question

4. 3/S points I Pravious Answers For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of yaxal strength (MPa) on x-cube strength (MPa) based on the following sample data xi 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 y| 74.5 71.1 57.6 48.7 74.8 73.0 68.2 59.6 57.4 48.3 (a) Obtain the equation of the least squares line. (Round al numerical values to four decimal placas.) nterpret the slope 参A are MPa increase in axial strength is associated with an increase in the predicted cube 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 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 assoclated 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.) Interpret the coefficient of determination. 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. The coeffic ent 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 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. (c Calculate an estimate of the error standard deviation σ·n the simple linear regression model. Round your answer to three decimal places.) Interpret the estimate of the error standard deviation o in the simple linear regression model. O The model's prediction for axial strength will typically differ from the specimen's actual axial strength by an amount greater than one error standard devlation. The model's prediction for axial strength will typically differ from the specimen's actual axial strength by an amount within two error standard deviations ⓔ The model's prediction for adal strength will typically differ from the specimens actual axial strength by an amount within one error standard deviation. The model's prediction for axial strength will typically differ from the specimen's actual axial strength by an amount greater than two error standard deviations.

Answer 1

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