The article "Simultaneous Optimization of Mechanical Properties of Steel by Maximizing Exponential Desirability Functions" (K. J. Kim and D. K. J. Lin, Journal of the Royal Statistical Society Series C, Applied Statistics, 2000: 311–325) presents measurements on 72 steel plates. The following MINITAB output presents the results of a study to determine the relationship between yield strength (in kg/mm²), and the proportion of carbon, manganese, and silicon, each measured in percent. The model fit is Yield strength = + P, Carbon + P, Manganese + , Silicon +e The regression equation is Yield Strength = 24.677 – 19.402 Carbon + 14.720 Manganese + 70.720 Silicon Predictor Coef StDev Constant 24.6775.8589 4.210.000 Carbon -19.40228.455 -0.680.498 Manganese 14.7205.6237 2.620.011 Silicon 70.72045.675 1.550.126 Of the following, which is the best next step in the analysis? Explain your reasoning. Add interaction terms Carbon · Manganese and Manganese · Silicon to try to find more variables to put into the model. ii. Add the interaction term Carbon · Silicon to try to find another variable to put into the model. i. iii. Nothing needs to be done. This model is fine. iv. Drop Carbon and Silicon, and then perform an F test. Drop Manganese, and then perform an F test. v.
The article "Simultaneous Optimization of Mechanical Properties of Steel by Maximizing Exponential Desirability Functions" (K. J. Kim and D. K. J. Lin, Journal of the Royal Statistical Society Series C, Applied Statistics, 2000: 311–325) presents measurements on 72 steel plates. The following MINITAB output presents the results of a study to determine the relationship between yield strength (in kg/mm²), and the proportion of carbon, manganese, and silicon, each measured in percent. The model fit is Yield strength = + P, Carbon + P, Manganese + , Silicon +e The regression equation is Yield Strength = 24.677 – 19.402 Carbon + 14.720 Manganese + 70.720 Silicon Predictor Coef StDev Constant 24.6775.8589 4.210.000 Carbon -19.40228.455 -0.680.498 Manganese 14.7205.6237 2.620.011 Silicon 70.72045.675 1.550.126 Of the following, which is the best next step in the analysis? Explain your reasoning. Add interaction terms Carbon · Manganese and Manganese · Silicon to try to find more variables to put into the model. ii. Add the interaction term Carbon · Silicon to try to find another variable to put into the model. i. iii. Nothing needs to be done. This model is fine. iv. Drop Carbon and Silicon, and then perform an F test. Drop Manganese, and then perform an F test. v.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The article "Simultaneous Optimization of Mechanical Properties of Steel by Maximizing
Exponential Desirability Functions" (K. J. Kim and D. K. J. Lin, Journal of the Royal
Statistical Society Series C, Applied Statistics, 2000: 311–325) presents measurements on
72 steel plates. The following MINITAB output presents the results of a study to determine
the relationship between yield strength (in kg/mm²), and the proportion of carbon,
manganese, and silicon, each measured in percent. The model fit is
Yield strength = + P, Carbon + P, Manganese + , Silicon +e
The regression equation is
Yield Strength = 24.677 – 19.402 Carbon + 14.720 Manganese + 70.720 Silicon
Predictor
Coef StDev
Constant
24.6775.8589 4.210.000
Carbon
-19.40228.455 -0.680.498
Manganese 14.7205.6237 2.620.011
Silicon
70.72045.675 1.550.126
Of the following, which is the best next step in the analysis? Explain your reasoning.
Add interaction terms Carbon · Manganese and Manganese · Silicon to try to find
more variables to put into the model.
ii. Add the interaction term Carbon · Silicon to try to find another variable to put into the
model.
i.
iii. Nothing needs to be done. This model is fine.
iv. Drop Carbon and Silicon, and then perform an F test.
Drop Manganese, and then perform an F test.
v.
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