Table 3. Analysis of variance for the second-order model

Model terms: X1, X2, X3; X12, X22, X32; X1X2, X1X3, X2X3
Source Degrees of freedom Sum of squares Mean square F-value p-value
Model 9 1187.5291 131.9477 3.31 0.0642
Error 7 278.8277 39.8325 - -
Total 16 1466.3568 - - -
Root MSE = 6.3113 R-square = 0.8099 Adjusted R-square = 0.5654
Test of lack of fit
Source Degrees of freedom Sum of squares Mean square F-value p-value
Lack of fit 5 272.8623 54.5725 18.3 0.0526
Pure Error 2 5.9654 2.9827 - -