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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Yield strength of steel alloy. Industrial engineers at the University of Florida used regression modeling as a tool to reduce the time and cost associated with developing new metallic alloys (Modelling and Simulation in Materials Science and Engineering, Vol. 13, 2005). To illustrate, the engineers built a regression model for the tensile yield strength (y) of a new steel alloy. The potential im

(a) The engineers used stepwise regression in order to search for a parsimonious set of predictor variables. Do you agree with this decision? Explain
(b) The stepwise regression selected the following independent variables: x1 = Carbon, x2 = Manganese, x3 = Chromium, x5 = Molybdenum, x6 = Copper, x8 = Vanadium, x9 = Plate thickness, x10 = Solution treating, and x11 = Ageing temperature. Based on this information, determine the total number of first-order models that were fit in the stepwise routine.
(c) Refer to part b. All these variables were statistically significant in the stepwise model, with R2 = .94. Consequently, the engineers used the estimated stepwise model to predict yield strength. Do you agree with this decision? Explain.
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