The data in Table 8.24 represent the results of a test for the strength of an asphalt concrete mix. The test consisted of applying a compressive force on the top of different sample specimens. Two responses occurred: the stress and strain at which a sample specimen failed. The factors relate to mixture proportions, rates of speed at which the force was applied, and ambient temperature. Higher values of the response variables indicate stronger materials. 

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Table 8.24 Data for Exercise 3: Asphalt data. Obs X1 X2 X3 Y1 Y2 1 5.3 0.02 77 42 3.20 2 5.3 0.02 32 481 0.73 3 5.3 0.02 0 543 0.16 4 6.0 2.00 77 609 1.44 5 7.8 0.20 77 444 3.68 6 8.0 2.00 104 194 3.11 7 8.0 2.00 77 593 3.07 8 8.0 2.00 32 977 0.19 9 8.0 2.00 0 872 0.00 10 8.0 0.02 104 35 5.86 11 8.0 0.02 77 96 5.97 12 8.0 0.02 32 663 0.29 13 8.0 0.02 0 702 0.04 14 10.0 2.00 77 518 2.72 15 12.0 0.02 77 40 7.35 16 12.0 0.02 32 627 1.17 17 12.0 0.02 0 683 0.14 18 12.0 0.02 104 22 15.00 19 14.0 0.02 77 35 11.80