In exploring the response surface of a process involving three factors, it was decided to use a rotatable 23 CCD to fit a second order model around the point where lack of fit was significant for a first order model. The responses obtained at the points chosen are as follows:

Fit a second-order model to the data and perform canonical analysis and determine the nature of the stationary point.

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21 -1 1 -1 1 -1 1 12 23 y 12.99 1.53 10.64 14.47 1 7.72 1 2.75 -1 1 5.39 1 1 1 18.95 0 0 0 15.23 0 0 0 15.65 0 0 0 16.23 0 0 0 14.30 0 0 0 14.78 0 0 0 17.13 -1.6818 0 0 5.91 1.6818 0 2.86 0 -1.6818 0 14.03 0 1.6818 0 2.83 0 0 -1.6818 18.53 0 0 1.6818 19.66