Reconsider the model for the drill data from Problem 13.16. Construct plots of the deviance residuals from the model and comment on these plots. Does the model appear satisfactory from a residual analysis viewpoint?

Data From Problem 13.16

The data in the table below are from an experiment designed to study the advance rate y$\mathrm{????}$ of a drill. The four design factors are x1=${\mathrm{????}}_1=$ load, x2=${\mathrm{????}}_2=$ flow, x3=${\mathrm{????}}_3=$ drilling speed, and x4=${\mathrm{????}}_4=$ type of drilling mud (the original experiment is described by Cuthbert Daniel in his 1976 book on industrial experimentation).

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Observation X1 X2 X3 X4 Advance Rate, y 1.68 1 2 + 1.98 3 + - 3.28 4 + 5 + 6 + 7 + + 8 + + 9 - + | | | | 1 3.44 4.98 5.70 9.97 9.07 2.07 10 + + 2.44 11 + + 4.09 12 + + + 4.53 13 14 + 15 16 + || ++ + 7.77 + + + +++ 9.43 11.75 16.30