The SAS System Obs x1 x2 x3 sugar ph temp solids eth col aro flav overall 1 -1 -1 0 20 5.0 25 7.2 8.89 3.59 3.37 2.24 2.70 2 -1 0 -1 20 5.5 20 10.3 8.85 3.51 3.44 2.87 3.18 3 -1 0 1 20 5.5 30 6.6 9.07 3.88 3.48 2.68 3.05 4 -1 1 0 20 6.0 25 6.9 8.57 3.52 3.33 2.03 2.61 5 0 -1 -1 24 5.0 20 14.8 10.53 3.51 3.30 3.21 3.29 6 0 -1 1 24 5.0 30 10.5 10.45 3.77 3.32 2.95 3.10 7 0 0 0 24 5.5 25 12.8 11.91 3.81 3.54 3.50 3.50 8 0 0 0 24 5.5 25 12.6 11.04 3.85 3.61 3.65 3.60 9 0 0 0 24 5.5 25 12.6 11.42 3.82 3.57 3.50 3.54 10 0 1 -1 24 6.0 20 14.2 9.62 3.62 3.43 2.68 2.88 11 0 1 1 24 6.0 30 9.7 10.60 3.81 3.21 2.43 2.81 12 1 -1 0 28 5.0 25 17.5 10.28 3.59 3.52 3.48 3.49 13 1 0 -1 28 5.5 20 19.3 9.56 3.81 3.70 3.47 3.59 14 1 0 1 28 5.5 30 15.3 10.60 3.66 3.41 3.03 3.10 15 1 1 0 28 6.0 25 14.0 10.01 3.59 3.48 2.93 3.22 The SAS System The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by x1 0 1.000000 x2 0 1.000000 x3 0 1.000000 Response Surface for Variable overall Response Mean 3.177333 Root MSE 0.170978 R-Square 0.9024 Coefficient of Variation 5.3812 Type I Sum Regression DF of Squares R-Square F Value Pr > F Linear 3 0.669700 0.4470 7.64 0.0258 Quadratic 3 0.638127 0.4260 7.28 0.0284 Crossproduct 3 0.044100 0.0294 0.50 0.6968 Total Model 9 1.351927 0.9024 5.14 0.0431 Sum of Residual DF Squares Mean Square Total Error 5 0.146167 0.029233 Parameter Estimate Standard from Coded Parameter DF Estimate Error t Value Pr > |t| Data Intercept 1 3.546667 0.098714 35.93 <.0001 3.546667 x1 1 0.232500 0.060450 3.85 0.0120 0.232500 x2 1 -0.132500 0.060450 -2.19 0.0799 -0.132500 x3 1 -0.110000 0.060450 -1.82 0.1285 -0.110000 x1*x1 1 -0.165833 0.088980 -1.86 0.1214 -0.165833 x2*x1 1 -0.045000 0.085489 -0.53 0.6211 -0.045000 x2*x2 1 -0.375833 0.088980 -4.22 0.0083 -0.375833 x3*x1 1 -0.090000 0.085489 -1.05 0.3406 -0.090000 x3*x2 1 0.030000 0.085489 0.35 0.7399 0.030000 x3*x3 1 -0.150833 0.088980 -1.70 0.1508 -0.150833 The SAS System The RSREG Procedure Sum of Factor DF Squares Mean Square F Value Pr > F x1 4 0.574491 0.143623 4.91 0.0554 x2 4 0.673691 0.168423 5.76 0.0410 x3 4 0.216803 0.054201 1.85 0.2566 The SAS System The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded x1 0.916012 0.916012 x2 -0.257597 -0.257597 x3 -0.663544 -0.663544 Predicted value at stationary point: 3.706714 Eigenvectors Eigenvalues x1 x2 x3 -0.110165 -0.649203 0.097573 0.754331 -0.203643 0.754629 -0.041562 0.654835 -0.378692 0.095246 0.994360 -0.046649 Stationary point is a maximum. The SAS System The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by sugar 24.000000 4.000000 ph 5.500000 0.500000 temp 25.000000 5.000000 Response Surface for Variable overall Response Mean 3.177333 Root MSE 0.170978 R-Square 0.9024 Coefficient of Variation 5.3812 Type I Sum Regression DF of Squares R-Square F Value Pr > F Linear 3 0.669700 0.4470 7.64 0.0258 Quadratic 3 0.638127 0.4260 7.28 0.0284 Crossproduct 3 0.044100 0.0294 0.50 0.6968 Total Model 9 1.351927 0.9024 5.14 0.0431 Sum of Residual DF Squares Mean Square Total Error 5 0.146167 0.029233 Parameter Estimate Standard from Coded Parameter DF Estimate Error t Value Pr > |t| Data Intercept 1 -55.077500 14.164592 -3.89 0.0115 3.546667 sugar 1 0.791875 0.371717 2.13 0.0864 0.232500 ph 1 16.511667 4.138340 3.99 0.0104 -0.132500 temp 1 0.321667 0.278769 1.15 0.3007 -0.110000 sugar*sugar 1 -0.010365 0.005561 -1.86 0.1214 -0.165833 ph*sugar 1 -0.022500 0.042744 -0.53 0.6211 -0.045000 ph*ph 1 -1.503333 0.355918 -4.22 0.0083 -0.375833 temp*sugar 1 -0.004500 0.004274 -1.05 0.3406 -0.090000 temp*ph 1 0.012000 0.034196 0.35 0.7399 0.030000 temp*temp 1 -0.006033 0.003559 -1.70 0.1508 -0.150833 The SAS System The RSREG Procedure Sum of Factor DF Squares Mean Square F Value Pr > F sugar 4 0.574491 0.143623 4.91 0.0554 ph 4 0.673691 0.168423 5.76 0.0410 temp 4 0.216803 0.054201 1.85 0.2566 The SAS System The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded sugar 0.916012 27.664050 ph -0.257597 5.371202 temp -0.663544 21.682281 Predicted value at stationary point: 3.706714 Eigenvectors Eigenvalues sugar ph temp -0.110165 -0.649203 0.097573 0.754331 -0.203643 0.754629 -0.041562 0.654835 -0.378692 0.095246 0.994360 -0.046649 Stationary point is a maximum.