a FAT-CRD experiment to determine the energy required to deliver light crude oil

Question

a FAT-CRD experiment to determine the energy required to deliver light crude oil from one end of the pipeline to the other. He used three pump speeds and varied the temperature of the oil. The responses recorded are in energy units per barrel of crude oil. His data are presented below. [JM 22.4 We will revisit Problem 21.3. An engineer in charge of a short pipeline conducled Temperature, 0.86 0.88 0.8 0.88 0.68 0.76 0890.90 50 70 90 110 Pump speed 1050 rpm 1200 rpm 1800 rpm 0.93 0.88 0.85 0.92 0.81 0.89 0.77 0.88 0.87 0.85 0.78 0.85 0.86 0.85 0.79 0.91 0.90 a Estimate the overall mean and the treatment means. Develop a responise plot; b Develop a fall lnear response surface model that will prediet the enengy e Calculate the residual terms from the linear model; then construct and interpret d Execute a lack-of-fit test for your linear model. stratify your plot by temperature. required per barrel response as a function of the pump rpm and the crude oil temperature. residual plots. e Develop a full second-order response surface model that will predict the energy required per barrel response as a function of the pumip rpm and the crude oil temperature. Then, simplify your full model. Using the simplified model, predict the average energy required per barmel of crude oil at a temperature of 80°F and a pump speed of 1000 rpm; at 75°F and 500 rpm. Comment on your results. r Calculate the residual terms from the simplified model; then construct and interpret residual plots. g Execute a lack-of-fit test for your simplified model. h Calculate R2 for this data sct

Explanation / Answer

1. Respose plot refers to the series of step response plot all on thesame figure. A plot will be made for each input and output combination. It could be single input single output or multiple input and multiple ouput system.

As per the given question its better to go for multiple input and multiple output system.

D. Lack of fot test linear model is one of the components of a partition of the sum of squarez in an analysis of vatiance usrd in the numerator in an f test of the null hypothesis that says the proposed model fits well.

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