An experiment to study the effect of machining factorson ceramic strength was described atwww.itl.nist.gov/div898/handbook/. Five factors were considered at two levels each: A = Table Speed, B = Down Feed Rate, C = Wheel Grit, D = Direction, E = Batch. The response is the average of the ceramic strength over 15 repetitions. The following data are from a single replicate of a 2⁵factorial design.

(a) Estimate the factor effects and use a normal probability plot of the effects. Identify which effects appear to be large.

(b) Fit an appropriate model using the factors identified in part (a).

(c) Prepare a normal probability plot of the residuals. Also, plot the residuals versus the predicted ceramic strength. Comment on the adequacy of these plots.

(d) Identify and interpret any significant interactions.

(e) What are your recommendations regarding process operating conditions?

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Strength 680.45 D -1 -1 -1 -1 -1 -1 -1 722.48 702.14 666.93 703.67 1 642.14 692.98 1 669.26 491.58 1 475.52 478.76 568.23 444.72 1 1 -1