mont4e_sm_ch14_sec08 - 14-54 Section 14-814-45 a) 14-55

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Unformatted text preview: 14-54 Section 14-814-45 a) 14-55 1.51.00.50.0-0.5-1.0-1.51.51.00.50.0-0.5-1.0-1.5x1x2b) Estimated Regression Coefficients for y Term Coef StDev T P Constant 82.024 0.5622 145.905 0.000 x1 -1.115 0.4397 -2.536 0.044 x2 -2.408 0.4397 -5.475 0.002 x1*x1 0.861 0.7343 1.172 0.286 x2*x2 -1.590 0.7342 -2.165 0.074 x1*x2 -1.801 0.3477 -5.178 0.002 S = 1.390 R-Sq = 92.0% R-Sq(adj) = 85.3% Analysis of Variance for y Source DF Seq SS Adj SS Adj MS F P Regression 5 132.837 132.837 26.5674 13.74 0.003 Linear 2 70.393 70.391 35.1957 18.21 0.003 Square 2 10.602 10.610 5.3048 2.74 0.142 Interaction 1 51.842 51.842 51.8425 26.82 0.002 Residual Error 6 11.600 11.600 1.9333 Lack-of-Fit 3 10.052 10.052 3.3507 6.50 0.079 Pure Error 3 1.548 1.548 0.5158 Total 11 144.437 The second order model appears to be significant for the interaction term (p= 0.002). However, the square terms are not significant (p= 0.142). c) 14-56 75y-0.50.00.5x11.01.570-1.575-1.0-0.580y858085-1.5-1.0-0.50.00.5x21.01.5There appears to be a saddle point in the experimental region. The yield increases as x1is decreased and x2is near the zero level. 14-46 a) 32312123222132106693.15555.08453.51248.07433.11452.02895.15468.04201.65821.6xxxxxxxxxxxxy+++++=b) Contour Plots X2*X1X3*X11.00.50.0-0.5-1.01.00.50.0-0.5-1.0X3*X21.00.50.0-0.5-1.01.00.50.0-0.5-1.0Hold ValuesX1 0X2 0X3 0MLS6.2 - 6.46.4 - 6.66.6 - 6.8> 6.8< 6.06.0 - 6.2Contour Plots of MLSResponse surface plots 14-57 1MLS6.46.66.8X2-1-11X11MLS...
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mont4e_sm_ch14_sec08 - 14-54 Section 14-814-45 a) 14-55

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