Dealing in fabric quality | Mathematics homework help

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.

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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

0.198

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

53.7

48

0.397

92

0.231

0.411

61

92.0

46

0.488

88

0.211

0.387

88

87.9

43

0.525

85

0.199

0.437

63

90.3

45

0.486

84

0.189

0.499

58

94.2

53

0.527

87

0.245

0.530

65

89.5

47

0.601

95

0.208

0.500

67

(a) Use the criteria MSECp, and PRESS to find the “best” model from among all subset models.

(b) Plot standardized residuals against and do a normal probability plot of residuals for the “best” model. Comment.

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