Cooling method for gas turbines. Refer to the Journalof

Chapter 12, Problem 130E

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QUESTION:

Cooling method for gas turbines. Refer to the Journal Of Engineering for Gas Turbines and Power (Jan. 2005)study of a high-pressure inlet fogging method for a gas turbine engine, Exercise 12.103 (p. 729). Now consider the interaction model for heat rate (y) of a gas turbine as a function of cycle speed (\(x_1\)) and cycle pressure ratio (\(x_2\)), \(E(y)=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_1x_2\). Use the data saved in the file to conduct a complete residual analysis for the model. Do you recommend making model modifications?

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QUESTION:

Cooling method for gas turbines. Refer to the Journal Of Engineering for Gas Turbines and Power (Jan. 2005)study of a high-pressure inlet fogging method for a gas turbine engine, Exercise 12.103 (p. 729). Now consider the interaction model for heat rate (y) of a gas turbine as a function of cycle speed (\(x_1\)) and cycle pressure ratio (\(x_2\)), \(E(y)=\beta_0+\beta_1x_1+\beta_2x_2+\beta_3x_1x_2\). Use the data saved in the file to conduct a complete residual analysis for the model. Do you recommend making model modifications?

ANSWER:

Step 1 of 8

Let y be the heat rate of a gas turbine,  is the cycle speed and  is the cycle pressure

ratio.

Here we have to obtain the estimated model,  and

conduct a complete residual analysis for the model.

Using MINITAB, we fit the above model and conduct the residual analysis for the

fitted model in the following steps.

Step1:  Import the data into the columns of the worksheet and find the product value of

             and  in another column (named  ).

Step2:  Select Regression... ?om the Regression tab of Stat ribbon.

Step3:  Specify the column y in the Response box and the columns ,  and , as

            Predictors.

Step4:  Check Histogram of residuals, Residuals versus fits, and Residual versus

            order in Residual plots and specify the columns ,  and  in Residuals

            versus the variables in the Graphs... tab.

Step5: Click Ok.

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