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1 Quiz Practice Questions 7 (Attendance 14) for Statistics 514 ...

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<strong>Practice</strong> <strong>Quiz</strong> <strong>Questions</strong> 7 (<strong>Attendance</strong> <strong>14</strong>), 32.13, pp 1306–1309 3(32.13) Whipped topping: qz7-32-13-topping-response(a) Two–factor rotatable central composite designThe second–order response function isY i = β 0 X 0 + β 1 X i1 + β 2 X i2 + β 12 X i1 X i2+ β 11 Xi1 2 + β 22 Xi2 2 + ε ijkwhere, from SAS, the estimated coefficients arecoefficient b q p–valueb 0 189.75 < 0.0001b 1 28.247 0.0008b 2 -0.772 0.87b 12 ? 0.0748b 11 -18.128 0.0115b 22 -6.875 0.223It looks like an appropriate hierarchical model would beY i = β 0 X 0 + β 1 X i1 + β 11 X 2 i1 + ε ijksince b 1 is significant (active), but b 2 is not significant.(b) ResidualsLook at the SAS output.

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