Suppose that in an experiment involving three factors, A, B, and C, set at two levels, the following data were obtained:

Obtain a regression model for the responses using reference cell coding to define the indicator variables in the model. Fit the model and extract the fitted values and residuals. Perform ANOVA and test for significance of the fitted model; use cell (2, 2, 2).

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(1) 29.63 21.27 20.22 a 56.08 54.86 45.37 b 33.75 33.26 38.25 ab 30.83 30.63 31.93 C 42.47 53.94 47.94 ac 59.84 51.43 50.96 bc 54.49 53.32 40.31 abc 23.1 29.49 28.97