Table 7 Determination of the optimum regression model for predicting shear strength using regression analysis.

From: Experimental study on the use of polyoxymethylene plastic waste as a granular column to improve the strength of soft clay soil

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

  1. SS, Shear Strength; F-sig, F-Test; R2, Correlation of Determination; x1, Number of Columns; x2, Column Diameter; x3, Column Depth; x4, Substitute Area Ratio (SAR); x5, Depth Penetration Ratio (DPR); x6, Column Aspect Ratio (CAR); x7, Volume Indusion Ratio (VIR); x8, Confining Pressure (CP).