Question: 12.8 The following is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of

12.8 The following is a set of coded experimental data on the compressive strength of a particular alloy at various values of the concentration of some additive:

Concentration, Compressive x Strength, y 10.0 15.0 20.0 25.0 30.0 25.2 29.8 31.2 31.7 29.4 27.3 31.1 32.6 30.1 30.8 28.7 27.8 29.7 32.3 32.8

(a) Estimate the quadratic regression equation μY |x =

β0 + β1x + β2x2 .

(b) Test for lack of fit of the model.

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