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ma^h\` hk• hj^bgZl [meZ f•g•fZevghx

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ϕ0 (x) bϕ1 (x) -

 

>ey j•\gyggy j_]j_k•€

 

y = b0ϕ0 (x)+ b1ϕ1 (x) ^_

 

 

^h\•evg•

 

nmgdp•€

 

\bfh]Z

 

 

 

 

 

f•g•fZevghkl•

 

 

\bjZam

n

 

 

(x i )− b1ϕ1 (x i )]2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

å[yi b0ϕ0

 

ijb\h^blv

^h

gZklmigbo agZq_gv ^ey

i=1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

dh_n•p•}gl•\ E0 lZ E1:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ϕ 2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

ϕ 2

 

 

 

 

 

 

 

b0 =

 

0

 

 

1

ϕ

0

ϕ

1

 

 

 

=

 

 

 

 

ϕ

ϕ

1

0

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

 

 

 

, b1

 

 

0

 

1

 

0

 

 

 

 

,

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ϕ02 ϕ12 (ϕ 0ϕ1 )2

 

ϕ02 ϕ12 (ϕ0ϕ1 )2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

 

 

(x i )

 

 

 

 

 

n

(x i )

 

 

 

 

 

 

 

n

 

 

 

 

 

(x i )

 

 

 

 

åyiϕ 0

 

 

 

 

 

åyiϕ1

 

 

 

 

 

 

åϕ 0ϕ1

^_

 

0

=

i=1

 

 

 

 

 

 

 

 

 

 

,

1

=

i=1

 

 

 

 

,

ϕ0ϕ1

 

 

=

i=1

 

 

 

 

 

,

 

 

n

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

n

 

 

 

 

(x i )

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

åϕ0 2 (x i )

 

 

 

 

 

 

åϕ12

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ϕ0 2

=

i=1

 

 

 

 

 

 

 

 

 

,

ϕ12

=

i=1

 

 

 

 

 

 

 

 

 

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n

 

 

 

 

 

 

 

 

 

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Jha]eyg_fh [Z]Zlh\bf•jgbc \biZ^hd e•g•cgh€ j_]j_k•cgh€ fh^_e•

89

 

éx11

x12

...

x1m

ù

 

 

ê

 

 

 

 

ú

 

G_oZc

x = êx 21

x 22

...

x 2m

ú

± fZljbpy S agZq_gv sh

 

ê

:

: ..

...

.. :

ú

 

 

ê

 

x p2

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x pm

ú

 

 

êx p1

ú

 

 

ë

 

 

 

 

û

 

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ljZgkihgm\Zggy lh^• aZ]ZevgZ e•g•cgZ j_]j_k•cgZ fh^_ev fh`_

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m

 

 

 

 

 

 

 

 

 

 

 

 

yi

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S

 

Z[h \ [E X

 

 

 

 

j=1

 

 

 

 

 

 

 

 

 

 

^_

b = (b , b

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p

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1

 

 

 

 

 

 

 

 

 

\_dlhj qe_g•\ ihfbedb aZebrd•\ \•^ih\•^gh

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E = uTu = (y-xb)T(y-xb).

<boh^yqb a mfh\b f•g•f•aZp•€ kmfb d\Z^jZl•\ j_]j_k•cgbo aZebrd•\

E = 0 , bi

^_ L P h^_j`m}fh kbkl_fm ghjfZevgbo j•\gygv

E = -2(x T y - x T xb)= 0 .

b

A\•^db E [Tx)-1xT\ ^_ [Tx)-1 ± fZljbpy a\hjhlgZ fZljbp• [T[ sh ih ijbims_ggx •kgm}

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