17.22 A 22 factorial design has produced the following model relating ma- chined part surface finish...
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17.22 A 22 factorial design has produced the following model relating ma- chined part surface finish to feed rate (x₁) and nose radius (x₂) of the tool (x₁, x₂ are in coded units of ±1): y = = 90 + 10x₁ - 15x2 + 5x₁X₂. (a) What is the average surface finish across the experiment? (b) What are the values for E₁, E2, and E12 as obtained from the experiment? (c) Sketch the response surface in the X₁, X₂, y coordinate space. (d) What value for the surface finish does the model predict when the feed rate and nose radius are at their high levels for the experiment? (e) If a surface finish of 85 is desired, what value of feed rate (coded units) should be used if the nose radius takes on the low level used in the experiment? 17.23 Apply the respon 17.22 A 22 factorial design has produced the following model relating ma- chined part surface finish to feed rate (x₁) and nose radius (x₂) of the tool (x₁, x₂ are in coded units of ±1): y = = 90 + 10x₁ - 15x2 + 5x₁X₂. (a) What is the average surface finish across the experiment? (b) What are the values for E₁, E2, and E12 as obtained from the experiment? (c) Sketch the response surface in the X₁, X₂, y coordinate space. (d) What value for the surface finish does the model predict when the feed rate and nose radius are at their high levels for the experiment? (e) If a surface finish of 85 is desired, what value of feed rate (coded units) should be used if the nose radius takes on the low level used in the experiment? 17.23 Apply the respon
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a The average surface finish across the experiment can be found by setting both x1 and x2 to zero si... View the full answer
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