The SAS System Obs block x1 x2 x3 block1 block2 block3 y1 y2 y3 y4 y5 1 1 20.00 0.50 10.00 1 0 0 186 1329 0.406 250.1 1.048 2 1 13.00 0.50 14.00 1 0 0 420 1336 0.287 230.0 1.020 3 1 13.00 0.30 10.00 1 0 0 168 1036 0.251 91.8 1.025 4 1 16.50 0.40 12.00 1 0 0 281 1238 0.304 178.8 1.032 5 1 20.00 0.30 14.00 1 0 0 385 1260 0.248 272.9 1.029 6 1 16.50 0.40 12.00 1 0 0 290 1233 0.302 181.5 1.040 7 2 13.00 0.50 10.00 0 1 0 185 1175 0.315 223.8 1.030 8 2 20.00 0.50 14.00 0 1 0 362 1572 0.295 436.4 1.036 9 2 20.00 0.30 10.00 0 1 0 184 1325 0.301 240.8 1.049 10 2 13.00 0.30 14.00 0 1 0 311 1264 0.295 176.7 1.020 11 2 16.50 0.40 12.00 0 1 0 267 1340 0.310 221.1 1.034 12 2 16.50 0.40 12.00 0 1 0 277 1350 0.321 219.0 1.035 13 3 16.50 0.40 12.00 0 0 1 253 1339 0.304 205.0 1.036 14 3 16.50 0.40 12.00 0 0 1 259 1337 0.324 223.8 1.032 15 3 16.50 0.24 12.00 0 0 1 252 1218 0.270 163.2 1.038 16 3 10.78 0.40 12.00 0 0 1 215 1203 0.289 205.5 1.019 17 3 16.50 0.40 15.27 0 0 1 417 1411 0.285 270.0 1.027 18 3 16.50 0.40 8.73 0 0 1 117 1176 0.319 168.9 1.041 19 3 22.22 0.40 12.00 0 0 1 262 1465 0.266 366.2 1.052 20 3 16.50 0.56 12.00 0 0 1 312 1466 0.335 325.1 1.033 The SAS System The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by x1 16.500000 5.720000 x2 0.400000 0.160000 x3 12.000000 3.270000 Response Surface for Variable y2 Response Mean 1303.650000 Root MSE 61.242398 R-Square 0.8654 Coefficient of Variation 4.6978 Type I Sum Regression DF of Squares R-Square F Value Pr > F Linear 3 224060 0.8041 19.91 0.0002 Quadratic 3 2861.010584 0.0103 0.25 0.8566 Crossproduct 3 14203 0.0510 1.26 0.3392 Total Model 9 241124 0.8654 7.14 0.0025 Sum of Residual DF Squares Mean Square Total Error 10 37506 3750.631329 Parameter Estimate Standard from Coded Parameter DF Estimate Error t Value Pr > |t| Data Intercept 1 50.802831 1204.563765 0.04 0.9672 1308.772107 x1 1 49.611882 63.769913 0.78 0.4546 135.133096 x2 1 -2074.626606 2166.256042 -0.96 0.3608 112.658537 x3 1 119.009102 121.340109 0.98 0.3498 116.529330 x1*x1 1 0.128093 1.373206 0.09 0.9275 4.191000 x2*x1 1 37.500000 61.864164 0.61 0.5579 34.320000 x2*x2 1 440.615574 1738.509449 0.25 0.8051 11.279759 x3*x1 1 -3.767857 3.093208 -1.22 0.2511 -70.475507 x3*x2 1 150.625000 108.262288 1.39 0.1943 78.807000 x3*x3 1 -3.393899 4.202550 -0.81 0.4381 -36.290624 The SAS System The RSREG Procedure Sum of Factor DF Squares Mean Square F Value Pr > F x1 4 98194 24549 6.55 0.0074 x2 4 73925 18481 4.93 0.0186 x3 4 83067 20767 5.54 0.0129 The SAS System The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded x1 -1.911351 5.567070 x2 -2.958055 -0.073289 x3 0.249614 12.816238 Predicted value at stationary point: 1027.547281 Eigenvectors Eigenvalues x1 x2 x3 33.948075 -0.176623 0.817965 0.547483 22.551852 0.883968 0.376459 -0.277270 -77.319793 0.432902 -0.434985 0.789546 Stationary point is a saddle point. The SAS System The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by x1 16.500000 5.720000 x2 0.400000 0.160000 x3 12.000000 3.270000 Response Surface for Variable y2 Response Mean 1303.650000 Root MSE 10.355654 R-Square 0.9969 Coefficient of Variation 0.7944 Type I Sum Regression DF of Squares R-Square F Value Pr > F Covariates 2 36595 0.1313 170.62 <.0001 Linear 3 224060 0.8041 696.45 <.0001 Quadratic 3 2914.398954 0.0105 9.06 0.0060 Crossproduct 3 14203 0.0510 44.15 <.0001 Total Model 11 277773 0.9969 235.47 <.0001 Sum of Residual DF Squares Mean Square Total Error 8 857.916592 107.239574 The SAS System The RSREG Procedure Parameter Estimate Standard from Coded Parameter DF Estimate Error t Value Pr > |t| Data Intercept 1 80.400581 203.714997 0.39 0.7034 1331.819782 x1 1 49.591153 10.783039 4.60 0.0018 135.133096 x2 1 -2106.494846 366.319016 -5.75 0.0004 112.658537 x3 1 119.008200 20.517750 5.80 0.0004 116.529330 x1*x1 1 0.128721 0.232199 0.55 0.5945 4.211552 x2*x1 1 37.500000 10.460790 3.58 0.0071 34.320000 x2*x2 1 480.450874 294.009536 1.63 0.1409 12.299542 x3*x1 1 -3.767857 0.523040 -7.20 <.0001 -70.475507 x3*x2 1 150.625000 18.306383 8.23 <.0001 78.807000 x3*x3 1 -3.393862 0.710621 -4.78 0.0014 -36.290222 block1 1 -88.357047 5.593238 -15.80 <.0001 -88.357047 block2 1 10.642953 5.593238 1.90 0.0936 10.642953 Sum of Factor DF Squares Mean Square F Value Pr > F x1 4 98194 24549 228.91 <.0001 x2 4 73971 18493 172.44 <.0001 x3 4 83067 20767 193.65 <.0001 The SAS System The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded x1 -1.871973 5.792312 x2 -2.888209 -0.062113 x3 0.287219 12.939207 Predicted value at stationary point: 1036.066799 Eigenvectors Eigenvalues x1 x2 x3 34.640450 -0.154928 0.828936 0.537459 22.704596 0.887626 0.355640 -0.292644 -77.124173 0.433725 -0.431723 0.790884 Stationary point is a saddle point. The SAS System The RSREG Procedure Coding Coefficients for the Independent Variables Factor Subtracted off Divided by x1 16.500000 5.720000 x2 0.400000 0.160000 x3 12.000000 3.270000 Response Surface for Variable y2 Response Mean 1303.650000 Root MSE 10.355654 R-Square 0.9969 Coefficient of Variation 0.7944 Type I Sum Regression DF of Squares R-Square F Value Pr > F Covariates 2 36595 0.1313 170.62 <.0001 Linear 3 224060 0.8041 696.45 <.0001 Quadratic 3 2914.398954 0.0105 9.06 0.0060 Crossproduct 3 14203 0.0510 44.15 <.0001 Total Model 11 277773 0.9969 235.47 <.0001 Sum of Residual DF Squares Mean Square Total Error 8 857.916592 107.239574 The SAS System The RSREG Procedure Parameter Estimate Standard from Coded Parameter DF Estimate Error t Value Pr > |t| Data Intercept 1 80.400581 203.714997 0.39 0.7034 1331.819782 x1 1 49.591153 10.783039 4.60 0.0018 135.133096 x2 1 -2106.494846 366.319016 -5.75 0.0004 112.658537 x3 1 119.008200 20.517750 5.80 0.0004 116.529330 x1*x1 1 0.128721 0.232199 0.55 0.5945 4.211552 x2*x1 1 37.500000 10.460790 3.58 0.0071 34.320000 x2*x2 1 480.450874 294.009536 1.63 0.1409 12.299542 x3*x1 1 -3.767857 0.523040 -7.20 <.0001 -70.475507 x3*x2 1 150.625000 18.306383 8.23 <.0001 78.807000 x3*x3 1 -3.393862 0.710621 -4.78 0.0014 -36.290222 block1 1 -88.357047 5.593238 -15.80 <.0001 -88.357047 block2 1 10.642953 5.593238 1.90 0.0936 10.642953 Sum of Factor DF Squares Mean Square F Value Pr > F x1 4 98194 24549 228.91 <.0001 x2 4 73971 18493 172.44 <.0001 x3 4 83067 20767 193.65 <.0001 The SAS System The RSREG Procedure Canonical Analysis of Response Surface Based on Coded Data Critical Value Factor Coded Uncoded x1 -1.871973 5.792312 x2 -2.888209 -0.062113 x3 0.287219 12.939207 Predicted value at stationary point: 1036.066799 Eigenvectors Eigenvalues x1 x2 x3 34.640450 -0.154928 0.828936 0.537459 22.704596 0.887626 0.355640 -0.292644 -77.124173 0.433725 -0.431723 0.790884 Stationary point is a saddle point.