9. May conducts a design of experiment and the following is the result of ANOVA analysis. The result shows in bellows tables. Source of Sum of Degrees of Мean Fo P-value variation squares Freedom Square А 45.5625 1 45.5625 18.69 0.00254 B 10.5625 1 10.5625 4.33 0.07 3.0625 1 3.0625 1.26 0.29 АВ 7.5625 1 7.5625 3.10 0.12 АС 0.0625 1 0.0625 0.03 0.88 ВС 1.5625 1 1.5625 0.64 0.45 АВС 5.0625 1 5.0625 2.08 0.19 Error 19.5 8 2.4375 Total 92.9375 15 (a) What is the first order response surface model? (b) Find the direction of steepest accent, set the delta x1 = 1

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9. May conducts a design of experiment and the following is the result of ANOVA analysis. The
result shows in bellows tables.
Source
of Sum
of Degrees of
Мean
Fo
P-value
variation
squares
Freedom
Square
A
45.5625
1
45.5625
18.69
0.00254
10.5625
1
10.5625
4.33
0.07
3.0625
3.0625
1.26
0.29
АВ
7.5625
1
7.5625
3.10
0.12
AC
0.0625
1
0.0625
0.03
0.88
ВС
1.5625
1.5625
0.64
0.45
АВС
5.0625
5.0625
2.08
0.19
Error
19.5
2.4375
Total
92.9375
15
(a) What is the first order response surface model?
(b) Find the direction of steepest accent, set the delta x1 = 1
Transcribed Image Text:9. May conducts a design of experiment and the following is the result of ANOVA analysis. The result shows in bellows tables. Source of Sum of Degrees of Мean Fo P-value variation squares Freedom Square A 45.5625 1 45.5625 18.69 0.00254 10.5625 1 10.5625 4.33 0.07 3.0625 3.0625 1.26 0.29 АВ 7.5625 1 7.5625 3.10 0.12 AC 0.0625 1 0.0625 0.03 0.88 ВС 1.5625 1.5625 0.64 0.45 АВС 5.0625 5.0625 2.08 0.19 Error 19.5 2.4375 Total 92.9375 15 (a) What is the first order response surface model? (b) Find the direction of steepest accent, set the delta x1 = 1
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