-
:
1. k k yˆ = a + a x + a x +..... + a b 0 1 1 2 2;
2. k k yˆ = a ⋅ x a ⋅ x a ⋅.....⋅ x a 0 1 1 2 2;
3. () e a a X a x aK X K y ˆ 0 1 1 2 2...... + + + =;
2 2
1 2 2
0 1 ˆ..... k k y = a + a x + a x + + a b;
k
k
x
a
x
a
x
yˆ = a + a + +.... +
0.
,
.
,
.
.
(ˆ) min 2 S =Σ y − y → .
:
(.....) min 2
K K y a a x a x a x
, :
⎪ ⎪ ⎪
⎩
⎪ ⎪ ⎪
⎨
⎧
⋅ = ⋅ + ⋅ + ⋅ ⋅ + +
⋅ = ⋅ + + ⋅ ⋅ + +
⋅ = ⋅ + ⋅ + ⋅ ⋅ + + ⋅
= ⋅ + ⋅ + ⋅ + + ⋅
Σ Σ Σ Σ Σ
Σ Σ Σ Σ Σ
Σ Σ Σ Σ Σ
Σ Σ Σ Σ
0 1 1 2 2
2 0 2 1 1 2 2 2
2 1 2
1 0 1 1 1
0 1 1 2 2
...
.................................................................................................
...
...
...
K k k k k k
K k k
K k
K k
Y x a x a x x a x x a x
Y x a x a x x a x x a x
Y x a x a x a x x a x
Y a n a x a x a x
,
.
:
,
.
()
(
6 )
,
.
|
|
|
yx r,
xixj r,
i- j- ,
:
rij =
() ()
⎥ ⎥
⎦
⎤
⎢ ⎢
⎣
⎡
⎥ ⎥
⎦
⎤
⎢ ⎢
⎣
⎡
− −
⋅
−
Σ Σ
Σ Σ Σ
n
x
n
x
n
X y
Xy
X y
; rij r ji =.
7.8.
7.8.
y x1 x2 . xj . xK
Y 1 rYX1
RYX2
R YX j r YXK
X1 rYX1
RX X1 2
R j X1X
R X1X K
X2 rYX2
RX X1 2
R j X2X
R X2X K
.
Xj r YX j rX X j 1
RX X j 2
R X j X K
XK r YXK rX X K 1
RX X2 2
R X K X j 1
, ,
.
()
.
.
:
: 5 ,
.
7.9.
.
:
7.9.
Y x1 x2 x3 x4 x5
Y 1 -0,43 0,50 0,55 0,7 0,31
X1 -0,3 1 0,65 -0,44 0,5 0,38
X2 0,50 0,62 1 0,85 0,79 0,7
X3 0,55 -0,44 0,85 1 -0,95 0,50
X4 0,70 0,5 0,79 -0,95 1 0,78
X5 0,1 0,38 0,70 0,50 0,78 1
, .
, (
).
3 x 4 x.
. ,
,
, (
) .
, : rij ≥ 0.8. 0.95 3 5 = − x x r, -
. .
- 3 x.
. 1 x, 2 x, 5 x.
|
|
|
. 2 x 0.50 2 = yx r.
2 4 x, x, 0.79 2 4 = x x r -
. , 2 x 4 x.
: ˆ (,) 2 4 y = F x x.
