Table 4. ANOVA (analysis of variance) for central composite design

Source Sum of squares Degree of freedom Mean square F-value p-value
Model 1.37e+18 9 1.52e+17 43.16 0.0001
X1 1.83e+16 1 1.83e+16 5.19 0.0568
X2 4.70e+14 1 4.70e+14 0.1329 0.7262
X3 5.60e+17 1 5.60e+17 158.50 0.0001
X1X2 1.75e+17 1 1.75e+17 49.65 0.0002
X1X3 1.42e+17 1 1.42e+17 40.10 0.0004
X2X3 3.34e+17 1 3.34e+17 94.53 0.0001
X12 1.31e+17 1 1.31e+17 36.98 0.0005
X22 5.70e+14 1 5.70e+14 0.1615 0.6998
X32 1.89e+16 1 1.89e+16 5.34 0.0541
Residual 2.47e+16 7 3.53e+15
Lack of fit 2.41e+16 5 4.82e+15 14.82 0.0644
Pure error 6.50e+14 2 3.25e+14
Cor total 1.40e+18 16
Standard deviation 5.944e+07 R-squred 0.9823
Mean 7.044e+08 Adjusted R-squre 0.9595