Modeling Of Lattice Parameters Of The γ And γ' Phases Of The Superalloys With Base Nickel By Using A Multiple Linear Regression Analysis

摘要

In the present work the lattice parameters of the γ and γ' phases of the nickel base superalloys have been modeled by using a multiple linear regression (MLR) analysis. The most significant parameters were selected by means of a procedure of genetic algorithm, as result linear combinations were obtained from 2 to 13 variables. Both models were validated by computing the Q~2 statistic (cross-validation coefficient). The values of Q~2 were determined by two tests of cross-validation: (1) with a datum forming part of the test set and (2) with a third of the datum forming part of the test set, this procedure is repeated until each independent datum has been omitted at least once. The values of Q~2 for the obtained optimal models are approximately 0.97 and 0.95 for the phase γ and γ', respectively, indicating a good correlation.