Response Surface for Variable Y₁

Response Mean

31.659630

Root MSE

1.465004

R-Square

0.9914

Coefficient of Variation

4.62274

Regression

Degrees of Freedom

Sum of Squares

R-Square

F Value

Prob>F

Linear

4

2812.202600

0.9343

327.57

< 0.0001

Quadratic

4

149.285663

0.0496

17.39

< 0.0001

Cross-product

6

22.625600

0.0075

1.76

0.1911

Total Regress

14

2984.113863

0.9914

99.31

< 0.0001

Parameter

Degrees of Freedom

Parameter estimate

Standard error

t Value

Prob>|T|

Intercept

1

425.52333

87.122574

4.88

0.0004

X₁₁

1

-3.305375

0.714268

-4.63

0.0006

X₁₂

1

0.34125

0.886095

0.39

0.7069

X₁₃

1

0.424167

1.77219

0.24

0.8149

X₁₄

1

0.787917

0.915872

0.86

0.4065

X₁₁^*X₁₁

1

0.005398

0.001586

3.4

0.0052

X₁₂^*X₁₁

1

0.008388

0.003663

2.29

0.0409

X₁₂^*X₁₂

1

-0.027808

0.006344

-4.38

0.0009

X₁₃^*X₁₁

1

-0.00155

0.007325

-0.21

0.836

X₁₃^*X₁₂

1

0.00505

0.01465

0.34

0.7363

X₁₃^*X₁₃

1

0.034867

0.025375

1.37

0.1945

X₁₄^*X₁₁

1

0.006462

0.003663

1.76

0.1031

X₁₄^*X₁₂

1

-0.0092

0.007325

-1.26

0.233

X₁₄^*X₁₃

1

-0.00975

0.01465

-0.67

0.5183

X₁₄^*X₁₄

1

-0.025233

0.006344

-3.98

0.0018

Factor

Degrees of Freedom

Sum of Squares

Mean Square

F-Ratio

Prob > F

X₁₁

5

1068.901687

336.180337

156.64

< 0.0001

X₁₂

5

920.421631

184.084326

85.77

< 0.0001

X₁₃

5

109.430331

21.886066

10.20

0.0005

X₁₄

5

250.817774

50.163549

23.37

< 0.0001