An engineer is studying the efect of cutting specd on the rate of mctal removal

Question

An engineer is studying the efect of cutting specd on the rate of mctal removal in a machining ogting speed. The amount of metal removal is also related to the hardness of the test specimen Five observations are operation. However, the rate of metal in the following table. Analyze the data using and analysis of covariance Use -oos. Cutting Speed (rpm) 1000 1000 1200 1200 1400 1400 60 80 90 65 115 52 34 105 30 38 17 28 13 32 81 25 a) Write appropriate model indicating the response, the factor, and the covariate variables. b) Use Excel to all necessary S., T. and E.'s and test the hypothesis that there is no treatment effect at level 0.05

Explanation / Answer

General linear model :Removal versus speed

Factors levels values

speed fixed 1000 1200 1400

Analysis of variance for removal using adjusted SS for tests,

Term Coef SE Coef T P

Constant -41.656 6.907 -6.03 0.000

Hardness 0.93426 0.05008 18.65 0.000

Speed

1000 0.478 1.085 0.44 0.668

1200 0.036 1.076 0.03 0.974

sourse DF Seq SS Adj SS Adj MS F P hardness 1 3075.1 3019.3 3019.3 347.96 0.00 speed 2 2.4 2.4 1.2 0.14 0.872 error 11 95.5 95.5 8.7 Total 14 3173.6

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