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1. A metal casting process for the production of turbine blades was studied. Three factors were varied. They were A: the temperature of the metal, B: the temperature of the mold, and C: the pour speed. The outcome was the thickness of the blades, in mm. The results are presented in the following table. A -1 1 -1 B -1 -1 1 с -1 -1 -1 Thickness 4.62 4.61 4.63 4.51 4.50 4.52 4.60 4.61 4.59

1. A metal casting process for the production of turbine blades was studied. Three factors were varied. They were A: the temperature of the metal, B: the temperature of the mold, and C: the pour speed. The outcome was the thickness of the blades, in mm. The results are presented in the following table. A -1 1 -1 B -1 -1 1 с -1 -1 -1 Thickness 4.62 4.61 4.63 4.51 4.50 4.52 4.60 4.61 4.59

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1 > of 2 1. A metal casting process for the production of turbine blades was studied. Three factors were varied. They were A: the temperature of the metal, B: the temperature of the mold, and C: the pour speed. The outcome was the thickness of the blades, in mm. The results are presented in the following table. a. b. C. d. A -1 1 1 B -1 -1 -1 C -1 -1 -1 -1 1 1 1 1 Thickness 4.62 4.61 4.63 4.51 4.50 4.52 4.59 4.60 4.61 4.54 4.51 4.55 4.59 4.62 4.61 4.61 4.62 4.64 4.46 4.50 4.49 4.47 4.52 4.51 Page Input the factor settings and thickness data into Minitab, entering one row per thickness value. Analyze the Full Factorial DOE using Minitab, including all model terms. You will be prompted to create the Factorial DOE design. Follow the on-screen prompts to do so. Copy and paste your Minitab output into your submission. Which of the main effects, if any, had a statistically significant effect on thickness? Which of the interactions, if any, had a statistically significant effect on thickness? e. What percent of the observed variance in thickness can be explained using the regression model from (a)? f. Simplify the regression model by removing all non-significant model terms. How does this change your answer to part (e)? Don't forget to include the Minitab output. For the revised model in (f), generate a contour plot of thickness as a function of A and B, holding C constant at O. Identify ranges of A and B that are predicted to lead to a thickness value between 4.56 and 4.58 mm. (Hint: you can double-click the contour plot and use the Pinpoint tool to mark the exact value of the contour plot at a given position, and the Rectangle tool to draw your process window on the contour plot.) - ZOOM
Transcribed Image Text:1 > of 2 1. A metal casting process for the production of turbine blades was studied. Three factors were varied. They were A: the temperature of the metal, B: the temperature of the mold, and C: the pour speed. The outcome was the thickness of the blades, in mm. The results are presented in the following table. a. b. C. d. A -1 1 1 B -1 -1 -1 C -1 -1 -1 -1 1 1 1 1 Thickness 4.62 4.61 4.63 4.51 4.50 4.52 4.59 4.60 4.61 4.54 4.51 4.55 4.59 4.62 4.61 4.61 4.62 4.64 4.46 4.50 4.49 4.47 4.52 4.51 Page Input the factor settings and thickness data into Minitab, entering one row per thickness value. Analyze the Full Factorial DOE using Minitab, including all model terms. You will be prompted to create the Factorial DOE design. Follow the on-screen prompts to do so. Copy and paste your Minitab output into your submission. Which of the main effects, if any, had a statistically significant effect on thickness? Which of the interactions, if any, had a statistically significant effect on thickness? e. What percent of the observed variance in thickness can be explained using the regression model from (a)? f. Simplify the regression model by removing all non-significant model terms. How does this change your answer to part (e)? Don't forget to include the Minitab output. For the revised model in (f), generate a contour plot of thickness as a function of A and B, holding C constant at O. Identify ranges of A and B that are predicted to lead to a thickness value between 4.56 and 4.58 mm. (Hint: you can double-click the contour plot and use the Pinpoint tool to mark the exact value of the contour plot at a given position, and the Rectangle tool to draw your process window on the contour plot.) - ZOOM
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