5. The lathel data set from the alr4 package contains the results of an experime

Question

5. The lathel data set from the alr4 package contains the results of an experiment on characterizing the life of a dl bi i cting steel on a lathe. Two factors were varied in the experiment, Speed and Feed rate. The response is Life, the total time until the drill bit fails, in minutes. The values of Speed and Feed in the data have been coded by computing Actual speed in feet per minute-900 300 Speed- Actual feed rate in thousandths of an inch per revolution-13 6 Feed (a) Starting with the full second-order model use the Box-Cox method to show that an appropriate scale for the response is the logarithmic scale (b) State thel and alternative hypotheses for the overall F-test for this model using log(Life) as (c) Explain the practical meaning of the hypothesis Ho : ' 11 312 0 in the context of the the response. I Perform the test and sunmarize results. above model. (d) Perform a test for the hypothesis in part (c) and summarize your results (e) Find the two cases that are most influential using Cook's distance. in the fit of the quadratic mean function for log(Life), and explain why they are influential. Delete these points from the data, refit the quadratic mean function, and compare with the fit with all the data

Explanation / Answer

here z at 95 % is = 1.65
1.65 = (370.69 - x)/(24.36(sqrt1+(1/26)))
x=362.80

Hope this helps

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