An engineer is interested in the effect of cutting speed

(A), metal hardness (B), and cutting angle (C) on the life of a cutting tool. Two levels of each factor are chosen, and two replicates of a 23 factorial design are run. The tool life data (in hours) are shown in the following table.

(a) Analyze the data from this experiment using t-ratios with 0.05.

(b) Find an appropriate regression model that explains tool life in terms of the variables used in the experiment.

(c) Analyze the residuals from this experiment.

Transcribed Image Text:

Treatment Combination Replicate I II (1) 221 311 a 325 435 9. b 354 348 ab 552 472 C 440 453 ac 406 377 bc 605 500 abc 392 419