Question

(14-14) 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 1. Replicate Treatment Combination 221 325 435 354 348 552 440 406 605 500 392 311 472 453 377 Ci ac bc CL 419 (a) Analyze the data from this experiment using Minitab and data set provided with assignment. What factors are significant? (b) Analyze the residuals from this experiment. Are assumptions valid? (20 points total, 10 points each item)

Answer 1

Speea (A) metal hodne es), and cuting augleC) , Estimated ettect and (be比fdeute for y Constaut u13.(3a 33.3o o.000 a 234o o.009 .66 Ay(241

Answer 2

Question 1) 10 marks

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 he tool life data (in hours) are shown in the following table.

 

Treatment Combination	Replicate 1	Replicate 2
(1)	421	311
a	325	435
b	354	348
ab	552	472
c	440	453
ac	406	377
bc	605	500
abc	592	519

 

 

1.1    Analyze the data from this experiment.

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

1.3    Analyze the residuals from this experiment.