Тепловые и физико-химические процессы применительно к газовым плавильным печам. Черный А.А. - 11 стр.

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11
Продолжение таблицы5
16 x
1,16
=x
1d
x
2,16
=x
2a
y
16
17 x
1,17
=x
1d
x
2,17
=x
2c
y
17
18 x
1,18
=x
1d
x
2,18
=x
2e
y
18
19 x
1,19
=x
1d
x
2,19
=x
2d
y
19
20 x
1,20
=x
1d
x
2,20
=x
2b
y
20
Для планов 5
2
, 4
2
, 3
2
, 3 · 4, 3 · 5, 4 · 5 выявлены следующие уравнения
регрессии:
Для плана 5
2
(табл.1)
y = b
′
o
⋅
x
o
+ b
1n
⋅
x
1n
+ b
2n
⋅
x
2n
+ b
1n,2n
⋅
x
1n
⋅
x
2n
+ b
1r
⋅
x
1r
+ b
2r
⋅
x
2r
+
+ b
1n,2r
⋅
x
1n
⋅
x
2r
+ b
2n,1r
⋅
x
2n
⋅
x
1r
+ b
1r,2r
⋅
x
1r
⋅
x
2r
+ b
1s
⋅
x
1s
+ b
2s
⋅
x
2s
+
+ b
1n,2s
⋅
x
1n
⋅
x
2s
+ b
2n,1s
⋅
x
2n
⋅
x
1s
+ b
1r,2s
⋅
x
1r
⋅
x
2s
+ b
2r,1s
⋅
x
2r
⋅
x
1s
+
+ b
1s,2s
⋅
x
1s
⋅
x
2s
+ b
1w
⋅
x
1w
+ b
2w
⋅
x
2w
+ b
1n,2w
⋅
x
1n
⋅
x
2w
+ b
2n,1w
⋅
x
2n
⋅
x
1w
+
+ b
1r,2w
⋅
x
1r
⋅
x
2w
+ b
2r,1w
⋅
x
2r
⋅
x
1w
+ b
1s,2w
⋅
x
1s
⋅
x
2w
+ b
2s,1w
⋅
x
2s
⋅
x
1w
+
+ b
1w,2w
⋅
x
1w
⋅
x
2w
(1)
Для плана 4
2
(табл.2)
y = b
′
o
⋅ x
o
+ b
1n
⋅ x
1n
+ b
2n
⋅ x
2n
+ b
1n,2n
⋅ x
1n
⋅ x
2n
+ b
1r
⋅ x
1r
+ b
2r
⋅ x
2r
+
b
1n,2r
⋅ x
1n
⋅ x
2r
+ b
2n,1r
⋅ x
2n
⋅ x
1r
+ b
2r,1r
⋅ x
1r
⋅ x
2r
+ b
1s
⋅ x
1s
+ b
2s
⋅ x
2s
+ b
1n,2s
⋅ x
1n
⋅ x
2s
+ b
2n,1s
⋅ x
2n
⋅ x
1s
+ b
2s,1r
⋅ x
2s
⋅ x
1r
+ b
2r,1s
⋅ x
2r
⋅ x
1s
+ b
2s,1s
⋅ x
2s
⋅ x
1s
(2)
Для плана 3
2
(табл. 1)
y = b
′
o
⋅ x
o
+ b
1n
⋅ x
1n
+ b
2n
⋅ x
2n
+ b
1n,2n
⋅ x
1n
⋅ x
2n
+ b
1r
⋅ x
1r
+ b
2r
⋅ x
2r
+
b
1n,2r
⋅ x
1n
⋅ x
2r
+ b
2n,1r
⋅ x
2n
⋅ x
1r
+ b
2r,1r
⋅ x
1r
⋅ x
2r
(3)
Для плана 3 ⋅ 4 (табл. 3)
y = b
′
o
⋅ x
o
+ b
1n
⋅ x
1n
+ b
2n
⋅ x
2n
+ b
1n,2n
⋅ x
1n
⋅ x
2n
+ b
1r
⋅ x
1r
+ b
2r
⋅ x
2r
+
b
1n,2r
⋅ x
1n
⋅ x
2r
+ b
2n,1r
⋅ x
2n
⋅ x
1r
+ b
2r,1r
⋅ x
1r
⋅ x
2r
+ b
2s
⋅ x
2s
+ b
2s,1n
⋅ x
1n
⋅ x
2s
+ b
2s,1r
⋅
x
1r
⋅ x
2s
(4)
Для плана 3 ⋅ 5 (см. табл. 4)
y = b
′
o
⋅ x
o
+ b
1n
⋅ x
1n
+ b
2n
⋅ x
2n
+ b
1n,2n
⋅ x
1n
⋅ x
2n
+ b
1r
⋅ x
1r
+ b
2r
⋅ x
2r
+
b
1n,2r
⋅ x
1n
⋅ x
2r
+ b
2n,1r
⋅ x
2n
⋅ x
1r
+ b
2r,1r
⋅ x
1r
⋅ x
2r
+ b
2s
⋅ x
2s
+ b
2s,1n
⋅ x
1n
⋅ x
2s
+ b
2s,1r
⋅
x
1r
⋅ x
2s
+ b
2w
⋅ x
2w
+ b
2w,1n
⋅ x
1n
⋅ x
2w
+ b
2w,1r
⋅ x
1r
⋅ x
2w
(5)
Для плана 4 ⋅ 5 (см. табл. 5)
y = b
′
o
⋅ x
o
+ b
1n
⋅ x
1n
+ b
2n
⋅ x
2n
+ b
1n,2n
⋅ x
1n
⋅ x
2n
+ b
1r
⋅ x
1r
+ b
2r
⋅ x
2r
+
b
1n,2r
⋅ x
1n
⋅ x
2r
+ b
2n,1r
⋅ x
2n
⋅ x
1r
+ b
2r,1r
⋅ x
1r
⋅ x
2r
+ b
1s
⋅ x
1s
+ b
2s,1n
⋅ x
1n
⋅ x
2s
+ b
1s,2n
⋅
x
2n
⋅ x
1s
+ b
1r,2s
⋅ x
1r
⋅ x
2s
+ b
2r,1s
⋅ x
2r
⋅ x
1s
+ b
2s1s
⋅ x
2s
⋅ x
1s
+ b
2w
⋅ x
2w
+ b
2w,1n
⋅ x
1n
⋅
x
2w
+ b
2w,1r
⋅ x
1r
⋅ x
2w
+ b
2w,1s
⋅ x
1s
⋅ x
2w
(6)
В уравнениях регрессии (1) - (6) y - показатель (параметр) процесса;
x
o
= + 1; x
1n
=x
n
1
+ v
1
; 
                                                                    Продолжение таблицы5
          16                    x1,16=x1d                 x2,16=x2a            y16
          17                    x1,17=x1d                 x2,17=x2c            y17
          18                    x1,18=x1d                 x2,18=x2e            y18
          19                    x1,19=x1d                 x2,19=x2d            y19
          20                    x1,20=x1d                 x2,20=x2b            y20


       Для планов 52, 42, 32, 3 · 4, 3 · 5, 4 · 5 выявлены следующие уравнения
регрессии:
      Для плана 52 (табл.1)
      y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
     + b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b1r,2r ⋅ x1r ⋅ x2r + b1s ⋅ x1s + b2s ⋅ x2s +
        + b1n,2s ⋅ x1n ⋅ x2s + b2n,1s ⋅ x2n ⋅ x1s + b1r,2s ⋅ x1r ⋅ x2s + b2r,1s ⋅ x2r⋅ x1s +
    + b1s,2s ⋅ x1s ⋅ x2s + b1w ⋅ x1w + b2w ⋅ x2w + b1n,2w ⋅ x1n ⋅ x2w + b2n,1w ⋅ x2n⋅ x1w +
      + b1r,2w ⋅ x1r⋅ x2w + b2r,1w ⋅ x2r⋅ x1w + b1s,2w ⋅ x1s ⋅ x2w + b2s,1w ⋅ x2s ⋅ x1w +
                                       + b1w,2w ⋅ x1w ⋅ x2w                                   (1)

         Для плана 42 (табл.2)
             y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b2r,1r ⋅ x1r ⋅ x2r + b1s ⋅ x1s + b2s ⋅ x2s + b1n,2s ⋅ x1n ⋅ x2s
+ b2n,1s ⋅ x2n ⋅ x1s + b2s,1r ⋅ x2s⋅ x1r + b2r,1s ⋅ x2r⋅ x1s + b2s,1s ⋅ x2s ⋅ x1s
(2)
         Для плана 32 (табл. 1)
             y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b2r,1r ⋅ x1r ⋅ x2r                                     (3)

         Для плана 3 ⋅ 4 (табл. 3)
             y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b2r,1r ⋅ x1r ⋅ x2r + b2s ⋅ x2s + b2s,1n ⋅ x1n ⋅ x2s + b2s,1r ⋅
x1r ⋅ x2s                                                                                     (4)
         Для плана 3 ⋅ 5 (см. табл. 4)
             y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b2r,1r ⋅ x1r ⋅ x2r + b2s ⋅ x2s + b2s,1n ⋅ x1n ⋅ x2s + b2s,1r ⋅
x1r ⋅ x2s + b2w ⋅ x2w + b2w,1n ⋅ x1n ⋅ x2w + b2w,1r ⋅ x1r ⋅ x2w                               (5)

         Для плана 4 ⋅ 5 (см. табл. 5)
             y = b′o ⋅ xo + b1n ⋅ x1n + b2n ⋅ x2n + b1n,2n ⋅ x1n ⋅ x2n + b1r ⋅ x1r + b2r ⋅ x2r +
b1n,2r ⋅ x1n ⋅ x2r + b2n,1r ⋅ x2n ⋅ x1r + b2r,1r ⋅ x1r ⋅ x2r + b1s ⋅ x1s + b2s,1n ⋅ x1n ⋅ x2s + b1s,2n ⋅
x2n ⋅ x1s + b1r,2s ⋅ x1r ⋅ x2s + b2r,1s ⋅ x2r ⋅ x1s + b2s1s ⋅ x2s ⋅ x1s + b2w ⋅ x2w + b2w,1n ⋅ x1n ⋅
x2w + b2w,1r ⋅ x1r ⋅ x2w + b2w,1s ⋅ x1s ⋅ x2w                                                  (6)
         В уравнениях регрессии (1) - (6) y - показатель (параметр) процесса;
             xo = + 1; x1n =xn1 + v1 ;

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