Factorial experiment on cycles to failure of worsted yarn

In an unpublished report to the Technical Committee, International Wool Textile Organization, A. Barella and A. Sust gave the data in the first four columns of Table J.1, concerning the number of cycles to failure of lengths of worsted yarn under cycles of repeated loading. The three factors which varied over levels specified in coded form in the first three columns, are: https://www.niso.org/standards/z39-96/ns/oasis-exchange/table"> x ₁, length of test specimen (250, 300, 350 mm); x ₂, amplitude of loading cycle (8, 9, 10 mm); x ₃, load (40, 45, 50 g). Table J.1 Cycles to failure, transformed values, fitted values and residuals https://www.niso.org/standards/z39-96/ns/oasis-exchange/table"> Cycles Log cycles x ₁ x ₂ x ₃ obs obs fitted resid -1 -1 -1 674 6.51 6.52 -0.01 -1 -1 0 370 5.91 6.11 -0.20 -1 -1 1 292 5.68 5.74 -0.06 -1 0 -1 338 5.82 5.85 -0.03 -1 0 0 266 5.58 5.44 0.14 -1 0 1 210 5.35 5.07 0.28 -1 1 -1 170 5.14 5.26 -0.12 -1 1 0 118 4.77 4.84 -0.07 -1 1 1 90 4.50 4.48 0.02 0 -1 -1 1414 7.25 7.42 -0.17 0 -1 0 1198 7.09 7.01 0.08 0 -1 1 634 6.45 6.64 -0.19 0 0 -1 1022 6.93 6.76 0.17 0 0 0 620 6.43 6.34 0.09 0 0 1 438 6.08 5.97 0.11 0 1 -1 442 6.09 6.16 -0.07 0 1 0 332 5.81 5.75 0.06 0 1 1 220 5.39 5.38 0.01 1 -1 -1 3636 8.20 8.18 0.02 1 -1 0 3184 8.07 7.77 0.30 1 -1 1 2000 7.60 7.40 0.20 1 0 -1 1568 7.36 7.52 -0.16 1 0 0 1070 6.98 7.11 -0.13 1 0 1 566 6.34 6.74 -0.40 1 1 -1 1140 7.04 6.92 0.12 1 1 0 884 6.78 6.51 0.27 1 1 1 360 5.89 6.14 -0.25

x ₁, length of test specimen, x ₂, amplitude of loading cycle, x ₃, load.