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14) A factorial experiment was conducted to understand the impact of 4 inputs on the flex rate of a product in pounds per inch (the
14) A factorial experiment was conducted to understand the impact of 4 inputs on the flex rate of a product in pounds per inch (the response variable). The goal was to increase the flex rate of the product. The inputs are: Factor A: Formulation (formulation 1 or formulation 2), Factor B: Cycle time ( 15 seconds or 25 seconds), Factor C: Pressure ( 300 psi or 375 psi) and Factor D: Temperature ( 110 degrees F or 130 degrees F). The data from the experiment are in the following table. Factor A Factor B Factor C Factor D Response 1 15 300 110 71 2 15 300 110 73 1 25 300 110 74 2 25 300 110 76 15 375 110 78 2 15 375 110 78 25 375 110 77 2 25 375 110 79 15 300 130 70 N 15 300 130 71 25 300 130 75 N 25 300 130 75 1 15 375 130 78 2 15 375 130 78 25 375 130 74 2 25 375 130 77 Use the following computer output to answer the questions. Factorial Fit: Response versus A, B, C, D Estimated effects and Coefficients for Response (coded units) Term Effect Coef SE Coef T P Constant 75.250 0.3062 245.77 0.000 A 1.250 0.625 0.3062 2.04 0.097 B 1.250 0.625 0.3062 2.04 0.097 C 4.250 2.125 0.3062 6.94 0.001 D -1.000 -0.500 0.3062 -1.63 0.163 A*B 0.500 0.250 0.3062 0.82 0.451 A*C -0.000 -0.000 0.3062 -0.00 1.000 A*D -0.250 -0.125 0.3062 -0.41 0.700 B*C -2.500 -1.250 0.3062 -4.08 0.010 B*D -0.250 -0.125 0.3062 -0.41 0.700 C'D -0.250 -0.125 0.3062 -0.41 0.700 S = 1.22474 PRESS = 76.8 R-SQ = 93.90% R-Sq(pred) = 37.56% R-Sq(adj) = 81.71% Normal Plot of the Standardized Effects (response Is Response, Alpha - 0.05) Pareto Chart of the StandardIzed Effects (response is Response, Alpha - 0.05) 2.571 Percent 5.0 -2.5 0.0 5.0 7.5 Standardized Effect Standardized Effect a) Which of the factors have an impact upon the flex rate? Justify your
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