Table 2.
Central composite design (CCD) with experimental responses and predicted responses.
| S.No | Parameters | Experimental value* | RSM prediction | ANFIS prediction | Machine learning algorithm prediction | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| X1 | X2 | X3 | X4 | X5 | y1 | y2 | y3 | y4 | y5 | y1 | y2 | y3 | y4 | y5 | y1 | y2 | y3 | y4 | y5 | y1 | y2 | y3 | y4 | y5 | |
| 1 | 1 | 60 | 18 | 45 | 65 | 432.26 | 312.34 | 62.65 | 59.45 | 54.67 | 432.03 | 298.47 | 62.04 | 58.87 | 53.90 | 432 | 312 | 62.7 | 59.5 | 54.7 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 2 | 1 | 70 | 18 | 45 | 75 | 462.56 | 325.58 | 65.43 | 61.92 | 56.58 | 447.98 | 309.29 | 62.20 | 58.14 | 53.02 | 463 | 326 | 65.4 | 61.9 | 56.6 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 3 | 0.5 | 60 | 18 | 35 | 75 | 599.06 | 391.56 | 72.34 | 66.45 | 61.06 | 600.04 | 382.65 | 73.64 | 67.52 | 62.77 | 599 | 392 | 72.3 | 66.4 | 61.1 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 4 | 0.155 | 65 | 23 | 40 | 70 | 670.32 | 451.45 | 81.23 | 77.39 | 71.55 | 739.73 | 466.89 | 83.08 | 77.92 | 72.81 | 670 | 451 | 81.2 | 77.4 | 71.6 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 5 | 1 | 70 | 28 | 45 | 75 | 562.56 | 353.03 | 68.03 | 65.4 | 60.48 | 511.45 | 336.76 | 66.65 | 62.19 | 57.47 | 563 | 353 | 68 | 65.4 | 60.5 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 6 | 0.5 | 70 | 18 | 35 | 65 | 653.28 | 403.06 | 76.27 | 72.04 | 68.76 | 616.82 | 393.6 | 75.529 | 71.296 | 66.94 | 653 | 403 | 76.3 | 72 | 68.8 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 7 | 0.75 | 65 | 23 | 28.11 | 70 | 498.34 | 334.56 | 67.83 | 63.45 | 57.46 | 495.19 | 328.22 | 64.787 | 59.87 | 54.62 | 498 | 335 | 67.8 | 63.5 | 57.5 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 8 | 1 | 70 | 18 | 45 | 65 | 427.56 | 319.48 | 65.84 | 61.5 | 57.36 | 449.98 | 314.75 | 64.64 | 61.48 | 57.24 | 428 | 319 | 65.8 | 61.3 | 57.4 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 9 | 1 | 60 | 18 | 35 | 65 | 431.67 | 320.25 | 65.82 | 62.87 | 58.26 | 432.81 | 291.18 | 61.55 | 56.50 | 52.15 | 432 | 320 | 65.8 | 62.9 | 58.3 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 10 | 0.75 | 76.89 | 23 | 40 | 70 | 513.63 | 367.58 | 66.61 | 63.65 | 59.34 | 552.59 | 364.22 | 66. 4 | 63.330 | 59.21 | 514 | 368 | 66.6 | 63.7 | 59.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 11 | 1 | 60 | 28 | 45 | 75 | 423.78 | 321.25 | 61.64 | 57.72 | 52.08 | 458.15 | 311.1 | 60.17 | 55.92 | 51.12 | 424 | 321 | 61.6 | 57.7 | 52.1 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 12 | 0.5 | 70 | 18 | 45 | 75 | 659.43 | 413.76 | 77.59 | 73.04 | 68.56 | 629.26 | 401.48 | 78.11 | 73.21 | 68.54 | 659 | 414 | 77.6 | 73 | 68.6 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 13 | 0.5 | 60 | 18 | 45 | 65 | 642.57 | 396.56 | 76.06 | 71.43 | 65.33 | 647.3 | 399.68 | 73.18 | 69.23 | 63.91 | 643 | 397 | 76.1 | 71.4 | 65.3 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 14 | 0.5 | 60 | 28 | 45 | 65 | 660.12 | 422.6 | 63.45 | 59.93 | 55.52 | 629.26 | 401.58 | 66.50 | 62.43 | 57.43 | 660 | 423 | 63.5 | 59.9 | 55.6 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 15 | 1 | 70 | 18 | 35 | 75 | 414.56 | 299.39 | 52.02 | 48.93 | 43.78 | 408.63 | 284.88 | 55.78 | 51.62 | 47.28 | 415 | 299 | 52 | 48.9 | 43.8 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 16 | 1 | 60 | 28 | 35 | 75 | 398.76 | 286.48 | 51.72 | 46.67 | 41.37 | 420.15 | 291.17 | 56.39 | 52.79 | 47.56 | 399 | 286 | 51.7 | 46.7 | 41.4 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 17 | 0.5 | 70 | 28 | 35 | 65 | 656.45 | 412.92 | 77.54 | 73.85 | 68.67 | 619.4 | 400.83 | 75.90 | 72.02 | 67.17 | 656 | 413 | 77.5 | 73.9 | 68.7 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 18 | 0.75 | 65 | 23 | 51.89 | 70 | 556.34 | 366.45 | 69.6 | 65.73 | 61.32 | 553.18 | 366.19 | 69.89 | 65.54 | 60.56 | 556 | 366 | 69.6 | 65.7 | 56.1 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 19 | 0.75 | 65 | 23 | 40 | 70 | 482.67 | 325.67 | 72.74 | 68.63 | 63.65 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 20 | 0.75 | 65 | 34.89 | 40 | 70 | 536.32 | 367.34 | 69.43 | 65.91 | 61.27 | 559.71 | 360 | 66.64 | 63.10 | 58.07 | 536 | 367 | 69.4 | 65.9 | 61.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 21 | 1 | 60 | 18 | 45 | 75 | 404.45 | 278.31 | 56.71 | 51.76 | 46.64 | 447.98 | 309.3 | 62.20 | 58.14 | 53.02 | 404 | 278 | 56.7 | 51.8 | 46.6 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 22 | 1 | 60 | 28 | 45 | 65 | 395.67 | 264.37 | 53.56 | 47.62 | 42.27 | 403.45 | 277.84 | 54.12 | 49.77 | 44.72 | 396 | 264 | 53.6 | 47.7 | 42.3 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 23 | 0.75 | 65 | 23 | 40 | 70 | 481.36 | 326.54 | 74.75 | 70.74 | 64.18 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 24 | 0.5 | 70 | 28 | 45 | 65 | 654.34 | 432.64 | 78.56 | 74.74 | 70.46 | 626.1 | 412.88 | 72.99 | 69.27 | 64.96 | 654 | 433 | 78.6 | 74.7 | 70.5 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 25 | 1 | 70 | 28 | 35 | 65 | 422.53 | 293.08 | 58.93 | 53.41 | 48.45 | 419.15 | 276.39 | 57.47 | 52.18 | 47.54 | 423 | 293 | 58.9 | 53.4 | 48.4 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 26 | 0.75 | 65 | 23 | 40 | 81.892 | 602.37 | 399.45 | 73.72 | 69.86 | 65.78 | 573.3 | 379.18 | 69.72 | 65.10 | 60.9 | 602 | 399 | 73.7 | 69.9 | 65.8 | 572.68 | 346.91 | 66.05 | 62.82 | 57.70 |
| 27 | 0.75 | 65 | 11.11 | 40 | 70 | 574.32 | 348.52 | 68.56 | 65.82 | 60.43 | 544.66 | 349.29 | 68.60 | 64.88 | 60.04 | 574 | 349 | 68.6 | 65.8 | 60.4 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 28 | 0.75 | 65 | 23 | 40 | 70 | 484.65 | 324.07 | 71.85 | 64.74 | 59.78 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 29 | 0.5 | 70 | 18 | 35 | 75 | 562.12 | 371.74 | 73.54 | 67.84 | 63.28 | 575.57 | 376.85 | 70.90 | 66.44 | 61.67 | 562 | 372 | 73.5 | 67.8 | 63.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 30 | 0.75 | 65 | 23 | 40 | 70 | 485.34 | 325.94 | 69.93 | 65.34 | 62.54 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 31 | 0.5 | 60 | 28 | 35 | 75 | 660.12 | 418.6 | 79.45 | 74.93 | 70.52 | 624.86 | 406.96 | 76.26 | 71.99 | 67.21 | 660 | 419 | 79.4 | 74.9 | 70.5 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 32 | 0.5 | 70 | 18 | 45 | 65 | 641.32 | 401.83 | 75.34 | 73.32 | 68.56 | 627.62 | 405.62 | 76.03 | 72.93 | 68.37 | 641 | 402 | 75.3 | 73.3 | 68.6 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 33 | 0.5 | 70 | 28 | 35 | 75 | 633.35 | 401.162 | 72.23 | 70.89 | 66.28 | 616.9 | 406.52 | 77.16 | 74.04 | 69.19 | 633 | 401 | 72.2 | 70.9 | 66.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 34 | 1 | 70 | 28 | 45 | 65 | 421.65 | 274.92 | 55.63 | 51.62 | 47.31 | 437.91 | 299.48 | 60.36 | 55.51 | 51.13 | 422 | 275 | 55.6 | 51.6 | 47.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 35 | 0.5 | 60 | 18 | 35 | 65 | 636.45 | 392.43 | 74.98 | 67.56 | 63.45 | 660.13 | 403.42 | 78.5 | 72.92 | 67.96 | 636 | 392 | 75 | 67.6 | 63.5 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 36 | 0.75 | 53.11 | 23 | 40 | 70 | 586.05 | 348.65 | 64.76 | 61.43 | 56.34 | 540.82 | 345.43 | 62.22 | 57.88 | 52.87 | 586 | 349 | 64.8 | 61.4 | 56.3 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 37 | 1 | 70 | 18 | 35 | 65 | 418.9 | 268.06 | 53.78 | 48.04 | 44.36 | 427.11 | 291.69 | 58.33 | 53.76 | 50.01 | 419 | 268 | 53.8 | 48 | 44.4 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 38 | 0.75 | 65 | 23 | 40 | 70 | 485.76 | 323.54 | 75.89 | 70.05 | 66.88 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 39 | 0.5 | 70 | 28 | 45 | 75 | 645.34 | 404.72 | 77.84 | 69.42 | 65.24 | 666.48 | 431.18 | 80.95 | 76.42 | 72.43 | 645 | 405 | 77.8 | 69.4 | 65.2 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 40 | 1 | 70 | 28 | 35 | 75 | 423.76 | 278.43 | 55.58 | 51.56 | 46.65 | 449.81 | 301.07 | 57.05 | 53.74 | 48.43 | 424 | 278 | 55.6 | 51.6 | 46.7 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 41 | 0.75 | 65 | 23 | 40 | 70 | 483.72 | 324.65 | 72.86 | 66.83 | 62.41 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 417.93 | 301.03 | 61.55 | 57.98 | 53.38 |
| 42 | 0.5 | 60 | 18 | 45 | 75 | 638.34 | 401.61 | 76.45 | 69.49 | 65.56 | 630.09 | 391.51 | 75.03 | 68.95 | 64.16 | 638 | 402 | 76.4 | 69.5 | 65.6 | 572.68 | 346.90 | 66.05 | 62.82 | 57.70 |
| 43 | 1.35 | 65 | 23 | 40 | 70 | 360.76 | 243.17 | 50.51 | 45.76 | 41.07 | 286.35 | 221.78 | 46.18 | 41.73 | 36.48 | 361 | 243 | 50.5 | 45.8 | 41.1 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 44 | 0.75 | 65 | 23 | 40 | 58.11 | 534.63 | 345.92 | 66.76 | 62.56 | 58.26 | 557.44 | 359.62 | 68.01 | 63.56 | 59.54 | 535 | 346 | 66.8 | 62.6 | 58.3 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 45 | 0.75 | 65 | 23 | 40 | 70 | 485.65 | 325.73 | 71.03 | 68.45 | 64.07 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 572.68 | 346.90 | 66.05 | 62.83 | 57.70 |
| 46 | 0.75 | 65 | 23 | 40 | 70 | 484.38 | 324.23 | 70.98 | 65.43 | 61.68 | 483.67 | 324.5 | 72.28 | 67.22 | 62.85 | 484 | 325 | 72.5 | 67.5 | 63.1 | 417.93 | 301.02 | 61.55 | 57.98 | 53.38 |
| 47 | 1 | 60 | 28 | 35 | 65 | 396.06 | 256.34 | 54.76 | 50.56 | 45.56 | 522.2 | 334.46 | 67.52 | 62.47 | 57.34 | 396 | 256 | 54.8 | 50.6 | 45.6 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
| 48 | 1 | 60 | 18 | 35 | 75 | 380.76 | 268.04 | 52.56 | 47.58 | 43.34 | 497.88 | 332.57 | 65.7 | 60.41 | 55.77 | 381 | 268 | 52.6 | 47.6 | 43.3 | 417.93 | 301.02 | 61.55 | 57.98 | 53.38 |
| 49 | 0.5 | 60 | 28 | 45 | 75 | 642.82 | 402.63 | 73.67 | 69.67 | 65.34 | 650.8 | 415.85 | 74.23 | 69.04 | 64.97 | 643 | 403 | 73.7 | 69.7 | 65.3 | 643.54 | 411.64 | 76.84 | 71.12 | 66.30 |
| 50 | 0.5 | 60 | 28 | 35 | 65 | 636.42 | 393.95 | 74.76 | 68.72 | 63.34 | 646.2 | 405.29 | 75.24 | 70.51 | 65.12 | 636 | 394 | 74.8 | 68.7 | 63.3 | 631.10 | 393.11 | 74.63 | 68.02 | 63.66 |
*All the experiments repeated three times.