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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); and blanket finish temperature, °C (x6). A set of data from rayon specimens is given here. The response, y, is the measure of whiteness.
Y
x1
x2
x3
x4
x5
x6
88.7
43
0.211
85
0.243
0.606
48
89.3
42
0.604
89
0.237
0.600
55
75.5
47
0.450
87
0.198
0.527
61
92.1
46
0.641
90
0.194
0.500
65
83.4
52
0.370
93
0.485
54
44.8
50
0.526
0.221
0.533
60
50.9
0.486
83
0.203
0.510
57
78.0
49
0.504
0.279
0.489
86.8
51
0.609
0.220
0.462
64
47.3
0.702
86
0.478
63
53.7
0.397
92
0.231
0.411
92.0
0.488
88
0.387
87.9
0.525
0.199
0.437
90.3
45
84
0.189
0.499
58
94.2
53
0.245
0.530
89.5
0.601
95
0.208
67
(a) Use the criteria MSE, Cp, and PRESS to find the "best" model from among all subset models.
(b) Plot standardized residuals against Y and do a normal probability plot of residuals for the "best" model. Comment.
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