Rayon whiteness is an important factor for scientists dealing in fabric quality. Whiteness is affected by pulp quality and other processing variables. Some of the variables include acid bath temperature, ?C (x₁); cascade acid concentration, % (x₂); water temperature, ?C (x₃); sulfide concentration, % (x₄); amount of chlorine bleach, lb/min (x₅) blanket finish temperature, ?C (x₆). A set of data taken on rayon specimens is given here. The response, y, is the measure of whiteness.

(a) Use the criteria MSE, Cp, and PRESS to give the best model from among all subset models.

(b) Does a normal probability plot of residuals for the "best" model?Comment

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х6 88.7 43 0.211 85 0.243 89.3 75.5 92.1 46 0.641 0.606 48 0.604 42 89 0.237 0.600 55 47 0.450 87 0.198 0.527 61 90 0.194 0.500 ба 83.4 52 0.370 93 0.198 0.485 54 44.8 50 0.526 85 0.221 0.533 60 50.9 43 0.486 83 0.203 0.510 57 78.0 49 0.504 93 0.279 0.489 49 86.8 51 0.609 90 0.220 0.462 64 47.3 51 0.702 86 0.198 0.478 63 0.397 92 0.231 0.411 61 0.488 88 0.211 0.387 8s 87.9 43 0.525 85 0.199 0.437 63 53.7 48 92.0 46 90.3 45 0.486 84 0.189 0.499 58 87 0.245 0.530 95 0.208 65 94.2 89.5 53 0.527 0.601 47 67 0.500