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+ ( + 1) ⋅ 173,3 + ( − 1) ⋅ 161,7 + (0) ⋅ 168,3 + (0 ) ⋅ 170,0 + (0) ⋅ 165,0] = 2,5;
1
b = ⋅ [( + 1) ⋅ 166,7 + ( + 1) ⋅ 166,7 + ( − 1) ⋅ 171,7 + ( − 1) ⋅ 168,3 + (0) ⋅ 173,3 +
2 6
+ (0) ⋅ 161,7 + (+ 1) ⋅ 168,3 + (− 1) ⋅ 170,0 + (0) ⋅ 165,0 ] = −1,38 ;
1
b = ⋅ [( + 1)( + 1) ⋅ 166,7 + ( − 1)( + 1) ⋅ 166,7 + ( + 1)( − 1) ⋅ 171,7 +
12 4
+ ( − 1)( − 1) ⋅ 168,3 + ( + 1) ⋅ ( 0 ) ⋅ 173,3 + ( − 1) ⋅ ( 0 ) ⋅ 161,7 + ( 0 ) ⋅ ( + 1) ⋅ 168,3 +
1
+ ( 0 ) ⋅ ( − 1) ⋅ 170,0 + (0) ⋅ (0) ⋅ 165,0 ] = ⋅ (− 3 ,4 ) = 0 ,85.
4
1
b = ⋅ [( + 1)2 ⋅ 166,7 + ( − 1)2 ⋅ 166,7 + ( + 1)2 ⋅ 171,7 + ( − 1)2 ⋅ 168,3 +
11 2
+ ( + 1)2 ⋅ 173,3 + ( − 1)2 ⋅ 161,7 + (0) 2 ⋅ 168,3 + (0) 2 ⋅ 170,0 + (0)2 ⋅ 165,0] −
1 1 1
− ⋅ 1511,7 = ⋅ 1008,4 − ⋅ 1511,7 = 0,3;
3 2 3
1
b = ⋅ [( + 1)2 ⋅ 166,7 + ( + 1)2 ⋅ 166,7 + ( − 1)2 ⋅ 171,7 + ( − 1)2 ⋅ 168,3 +
22 2
1
+ (0)2 ⋅ 173,3 + (0)2 ⋅ 161,7 + (+ 1) ⋅ 168,3 + (− 1) ⋅ 170,0 + (0)2 ⋅ 165,0 ] − ⋅ 1511,7 =
2 2
3
1 1
= ⋅ 1011,7 − ⋅ 1511,7 = 1,95;
2 3
Эксперимент, проведенный по приведенной матрице, позволяет получить математическую модель второ-
го порядка, описывающую влияние факторов х1, х2 на выбранный параметр оптимизации следующего вида:
У = в0 + в1х1 + в2х2 + в11х12 + в22х22 + в12х12.
Составляется математическая модель:
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