Table 7 Determination of the optimum regression model for predicting shear strength using regression analysis.
Regression equation | F-Sig. | R2 | Adjusted R2 |
---|---|---|---|
\(\:SS=\:30.07+0.55{x}_{8}\) | 8.03 × 10− 28 | 0.9705 | 0.9504 |
\(\:SS=\:30.56-0.31{x}_{1}+0.66{x}_{8}\) | 4.44 × 10− 26 | 0.9705 | 0.9494 |
\(\:SS=\:19.16+0.73{x}_{2}+0.66{x}_{8}\) | 3.21 × 10− 27 | 0.9761 | 0.9552 |
\(\:SS=\:15.02+0.20{x}_{3}+0.66{x}_{8}\) | 9.66 × 10− 29 | 0.9812 | 0.9607 |
\(\:SS=\:28.63-0.14{x}_{4}+0.66{x}_{8}\) | 3.54 × 10− 26 | 0.9711 | 0.9500 |
\(\:SS=\:13.12+14.40{x}_{5}+0.66{x}_{8}\) | 8.67 × 10− 29 | 0.9812 | 0.9607 |
\(\:SS=\:14.30+2.21{x}_{6}+0.66{x}_{8}\) | 3.38 × 10− 29 | 0.9824 | 0.9620 |
\(\:SS=\:22.56-0.16{x}_{7}+0.66{x}_{8}\) | 3.34 × 10− 26 | 0.9710 | 0.9499 |
\(\:SS=\:20.57-1.87{x}_{1}+1.00{x}_{2}+0.66{x}_{8}\) | 2.69 × 10− 26 | 0.9775 | 0.9558 |
\(\:SS=\:16.32+0.20{x}_{2}+\:0.18{x}_{3}+0.66{x}_{8}\) | 2.71 × 10− 27 | 0.9814 | 0.9600 |
\(\:SS=\:18.00+0.22{x}_{3}-\:0.30{x}_{4}+0.66{x}_{8}\) | 2.44 × 10− 28 | 0.9836 | 0.9635 |
\(\:SS=\:18.00-0.30{x}_{4}+\:22.12{x}_{5}+0.66{x}_{8}\) | 2.14 × 10− 28 | 0.9846 | 0.9535 |
\(\:SS=\:17.32+8.88{x}_{5}+1.41{x}_{6}+0.66{x}_{8}\) | 9.77 × 10− 28 | 0.9830 | 0.9518 |
\(\:SS=\:19.14+2.14{x}_{6}-\:0.16{x}_{7}+0.66{x}_{8}\) | 7.43 × 10− 28 | 0.9832 | 0.9519 |
\(\:SS=\:18.12-2.69{x}_{1}+\:0.34{x}_{2}+0.21{x}_{3}+0.66{x}_{8}\) | 7.50 × 10− 27 | 0.9844 | 0.9625 |
\(\:SS=\:17.17+1.16{x}_{2}+\:0.14{x}_{3}-0.55{x}_{4}+0.66{x}_{8}\) | 3.14 × 10− 28 | 0.9887 | 0.9673 |
\(\:SS=\:17.42+0.18{x}_{3}-\:0.25{x}_{4}+0.41{x}_{5}+0.66{x}_{8}\) | 3.11 × 10− 27 | 0.9847 | 0.9334 |
\(\:SS=\:17.42-0.25{x}_{4}+19.43{x}_{5}+0.41{x}_{6}+0.66{x}_{8}\) | 5.13 × 10− 27 | 0.9847 | 0.9628 |
\(\:SS=\:17.13+29.43{x}_{5}-\:0.29{x}_{6}-0.52{x}_{7}+0.66{x}_{8}\) | 3.33 × 10− 27 | 0.9869 | 0.9655 |
\(\:SS=\:15.72+2.02{x}_{1}+1.44{x}_{2}+0.11{x}_{3}-0.77{x}_{4}+0.66{x}_{8}\) | 4.50 × 10− 27 | 0.9802 | 0.9672 |
\(\:SS=\:8.89-5.11{x}_{1}+\:3.37{x}_{2}-0.84{x}_{3}-0.69{x}_{4}+17.69{x}_{5}+8.61{x}_{6}+1.07{x}_{7}+0.66{x}_{8}\) | 3.28 × 10− 27 | 0.9960 | 0.9819 |
\(\:SS=\:8.72+2.38{x}_{2}-\:0.34{x}_{3}-0.46{x}_{4}++19.70{x}_{5}+4.17{x}_{6}+0.66{x}_{8}\) | 4.02 × 10− 29 | 0.9938 | 0.9722 |
\(\:SS=\:11.26+0.34{x}_{3}+\:0.78{x}_{4}-0.31{x}_{6}-1.37{x}_{7}+0.66{x}_{8}\) | 4.05 × 10− 27 | 0.9801 | 0.9779 |
\(\:SS=\:11.26+0.81{x}_{4}+33.95{x}_{5}-0.31{x}_{6}-1.37{x}_{7}+0.66{x}_{8}\) | 4.36 × 10− 27 | 0.9811 | 0.9811 |
\(\:SS=\:9.11-4.72{x}_{1}+2.41{x}_{2}-0.51{x}_{3}+0.09{x}_{4}+26.59{x}_{5}+6.42{x}_{6}+0.66{x}_{8}\) | 2.61 × 10− 28 | 0.9964 | 0.9725 |
\(\:SS=\:8.52+3.16{x}_{2}-\:0.59{x}_{3}-1.13{x}_{4}+33.95{x}_{5}+5.79{x}_{6}+0.83{x}_{7}+0.66{x}_{8}\) | 8.20 × 10− 28 | 0.9953 | 0.9713 |