Question: Consider the solubility data from Problem 7.18. Suppose that a point of interest is x1 = 8.0, x2 = 3.0, and x3 = 5.0. a.

Consider the solubility data from Problem 7.18. Suppose that a point of interest is x1 = 8.0, x2 = 3.0, and x3 = 5.0.

a. For the quadratic model from Problem 7.18, predict the response at the point of interest and fi nd a 95% confi dence interval on the mean response at that point.

b. Fit a model that includes only the main effects and two - factor interactions to the solubility data. Use this model to predict the response at the point of interest. Find a 95% confi dence interval on the mean response at that point.

c. Compare the lengths of the confi dence intervals in parts a and

b. Can you draw any conclusions about the best model from this comparison?

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