The data from an experiment with four factors is summarized in the table below.

Question

The data from an experiment with four factors is summarized in the table below.

a. Estimate the factor effects. Plot the normal probability plot and select the important factors.

b. Fit the model selected in (a) to a regression equation and analyze the residuals. Is the model adequate?

c. Change the Response with 1/Response and repeat parts (a) and (b). Was this transformation useful?

Run Factor 1 Factor 2 Factor 3 Factor 4 Response 1 12 300 10 High 0.00336 2 15 300 10 High 0.00344 3 12 400 10 High 0.00308 4 15 400 10 High 0.00184 5 12 300 15 High 0.00269 6 15 300 15 High 0.00284 7 12 400 15 High 0.00253 8 15 400 15 High 0.00163 9 12 300 10 Low 0.00340 10 15 300 10 Low 0.00362 11 12 400 10 Low 0.00301 12 15 400 10 Low 0.00182 13 12 300 15 Low 0.00280 14 15 300 15 Low 0.00290 15 12 400 15 Low 0.00252 16 15 400 15 Low 0.00160

Explanation / Answer

It would be really great to know which Minitab version you are using . However, I am assuming that you are using Minitab 17.

For Regression,go to STAT>ANOVA>GENERAL LINEAR MODEL>FIT GENERAL LINEAR MODEL.

In RESPONSE,select the variable Response by double clicking. Do the same steps in FACTORS.Then

in GRAPHS, SET Residual for plots as Standardised. CLick the normal Probability Plot. Then Click ok.

For doing 1/RESPONSE, GO to calculator. Select a new row. And, in calculation write 1/response and assign this as a formula

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