In the accompanying table, we give the smallest SSE for each number of predictors k (k = 1,2,3,4) for a regression problem in which y=cumulative heat of hardening in cement, =% tricalcium aluminate, = % tricalcium silicate, = % aluminum ferrate, and = % dicalcium silicate. In addition, n=13, and SST=2715.16.
a. Use the criteria discussed in the text to recommend the use of a particular regression model.
b. Would forward selection result in the best two-predictor model? Explain.
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