Table 4 Values of the regression coefficient (α₁–α₉) and associated probability (p value*) for each measured responses

α₀

47.86

94.71

134.7

36.63

81.40

α₁

+ 0.1040

− 0.1679

+2.275

− 0.1218

− 0.5950

p value

0.000

0.000

0.000

0.000

0.000

α₂

− 0.020

+ 0.1749

− 2.204

+ 0.1585

+ 0.114

p value

0.000

0.000

0.000

0.000

0.000

α₃

− 0.694

+ 0.054

− 3.996

+0.258

+0.115

p value

0.027

0.143

0.000

0.052

0.004

α₄

− 0.00126

+ 0.000042

− 0.02042

− 0.001933

− 0.002263

p value

0.512

0.942

0.001

0.028

0.047

α₅

+ 0.00701

− 0.00162

+ 0.05375

+ 0.00057

+ 0.00094

p value

0.248

0.364

0.002

0.773

0.732

α₆

− 0.00092

− 0.00008

− 0.03833

− 0.00142

− 0.0031

p value

0.808

0.942

0.001

0.308

0.131

α₇

+ 0.00259

− 001349

− 0.00880

+ 0.000449

+ 0.003861

p value

0.091

0.016

0.007

0.351

0.001

α₈

+ 0.00439

− 0.000160

0.01167

+ 0.000253

+ 0.00254

p value

0.176

0.857

0.050

0.807

0.118

α₉

− 0.0176

+ 0.00136

+ 0.0592

− 0.00391

+ 0.00395

p value

0.176

0.705

0.023

0.365

0.496

R²

0.9965

0.9965

0.9970

0.9911

0.9968

Adjusted R²

0.9903

0.9903

0.9915

0.9751

0.9910

Model F value

160.05

160.00

183.37

61.86

172.90

Model p value

< 0.0001

< 0.0001

< 0.0001

0.0001

< 0.0001

Lack of fit F value

17.17

1.11

0.9797

0.6681

11.88

Lack of fit p value

0.0555

0.5056

0.5410

0.6459

0.0786