Table 6 Analysis of variance was performed on the fitted models to examine the significance of the F statistic.
Degrees of freedom | Sum of squares | Mean square | F statistic | Significance F | |||
|---|---|---|---|---|---|---|---|
Ultimate strength | Linear model | Regression | 1 | 1.792 | 1.792 | 16.702 | 0.0015 |
Residual | 12 | 1.288 | 0.107 | ||||
Total | 13 | 3.080 | |||||
Quadratic model | Regression | 2 | 2.381 | 1.190 | 18.731 | 0.0003 | |
Residual | 11 | 0.699 | 0.064 | ||||
Total | 13 | 3.080 | |||||
Young’s modulus | Linear model | Regression | 1 | 170.3 | 170.3 | 0.179 | 0.6801 |
Residual | 12 | 11450.0 | 954.2 | ||||
Total | 13 | 11620.3 | |||||
Quadratic model | Regression | 2 | 646.7 | 323.3 | 0.324 | 0.7299 | |
Residual | 11 | 10973.7 | 997.6 | ||||
Total | 13 | 11620.3 | |||||
Yield stress | Linear model | Regression | 1 | 1.497 | 1.497 | 23.934 | 0.0004 |
Residual | 12 | 0.750 | 0.063 | ||||
Total | 13 | 2.247 | |||||
Quadratic model | Regression | 2 | 1.756 | 0.878 | 19.652 | 0.0002 | |
Residual | 11 | 0.491 | 0.045 | ||||
Total | 13 | 2.247 | |||||
Plastic work | Linear model | Regression | 1 | 0.044 | 0.044 | 15.953 | 0.0018 |
Residual | 12 | 0.033 | 0.003 | ||||
Total | 13 | 0.076 | |||||
Quadratic model | Regression | 2 | 0.050 | 0.025 | 10.674 | 0.0027 | |
Residual | 11 | 0.026 | 0.002 | ||||
Total | 13 | 0.076 |