### State the hypothesis in terms of the model parameters

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Testing for curvature. Consider the secondorder model relating E(y) to three quantitative independent variables, x1, x2, and x3:

E(y) = β0 + β1x1 + β2x2 + β3x3 + β4x1x2 + β5x1x3 + β6x2x3 + β7x12 + β8x22 + β9x32

(a) Specify the parameters involved in a test of the hypothesis that no curvature exists in the response surface.

(b) State the hypothesis of part a in terms of the model parameters.

(c) What hypothesis would you test to determine whether x3 is useful for the prediction of E(y)?

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