Table 4 ANOVA and Regression Analysis of the Quadratic Model
Source of variation | Sum of Squares | Degrees of freedom | Mean Square | F-value | p-value Prob > F | Signif |
|---|---|---|---|---|---|---|
Model | 11483.454 | 14 | 820.247 | 10.392 | 0.0044 | a |
X1 | 1.901 | 1 | 1.901 | 0.024 | 0.8818 | |
X2 | 2336.545 | 1 | 2336.545 | 29.603 | 0.0016 | |
X3 | 95.976 | 1 | 95.976 | 1.216 | 0.3124 | |
X4 | 583.453 | 1 | 583.453 | 7.392 | 0.0347 | |
X1 X2 | 138.198 | 1 | 138.198 | 1.751 | 0.2340 | |
X1 X3 | 638.138 | 1 | 638.138 | 8.085 | 0.0294 | |
X1 X4 | 256.492 | 1 | 256.492 | 3.250 | 0.1215 | |
X2 X3 | 7.742 | 1 | 7.742 | 0.098 | 0.7647 | |
X2 X4 | 91.839 | 1 | 91.839 | 1.164 | 0.3222 | |
X3 X4 | 60.006 | 1 | 60.006 | 0.760 | 0.4168 | |
X12 | 1050.075 | 1 | 1050.075 | 13.304 | 0.0107 | |
X22 | 319.292 | 1 | 319.292 | 4.045 | 0.0910 | |
X32 | 1062.246 | 1 | 1062.246 | 13.458 | 0.0105 | |
X42 | 100.796 | 1 | 100.796 | 1.277 | 0.3016 | |
Residuals | 473.577 | 6 | 78.929 | |||
Lack of Fit | 339.721 | 2 | 169.861 | 5.076 | 0.0799 | b |
Pure Error | 133.856 | 4 | 33.464 | |||
Cor Total | 11957.031 | 20 | ||||
R-Squared = 0.960 | ||||||