$9\mathrm{.}2.$ Suppose that control goals different from those in Table $9\mathrm{.}1$ are specified for the tuning correlations. Predict the effect on the tuning constant values$-$ that is$,$ whether each would increase or decrease from the correlation values from Figure $9\mathrm{.}5-$for each set of goals.

$($a$)$ The only goal is to minimize the IAE for the base case model.

$($b$)$ The goals are to minimize IAE for $+-25\%$ change in model parameters, without concern for the manipulated$-$variable variation.

$($c$)$ The goals are to minimize IAE for $+-50\%$ change in model parameters, with concern for the manipulated$-$variable variation unchanged from Table $9\mathrm{.}1.$