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大家好，我从Excel中引用一组数据，进行三元线性回归拟合。利用regress，得到系数可能会为负数。请问如何对系数范围进行约束（0~1之间）8 |( l$ y2 u& q+ m) o
下面是我的数据和过程9 G# j3 M: G3 M# _7 G; ~
A=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')
: ^, M) s/ L6 h8 ~: G! F$ t
# S3 T' c7 k- g) J) vA =% e0 A: P. [. m8 p; V
* K! c+ j" d, {1 d: G% I
15.1200 272.5640 11.5880 1.9000# H# }% I2 S7 K+ c+ Q! D' u
15.4800 277.3200 11.2400 1.8200& y5 D* u5 j& t3 `1 x- |) N
15.3360 285.3600 11.6240 2.0800% T- y; _* A! R2 c- m2 i0 G. _0 T
12.8160 295.3960 11.9280 1.9200' ?, ?4 H+ _/ C( t0 T% { v
17.0000 300.7920 15.1080 2.5000
z) A6 I: O. d3 z 16.2800 296.5760 15.4040 2.72001 L8 Q: s" K8 O. m& N7 c0 P
15.5600 291.5120 12.8200 2.2200
. T/ s& [- x& G" R, _ 15.3440 289.1520 13.8640 1.9600
% q7 M- N4 ?3 n1 d8 y" L 17.3600 288.3760 14.1440 1.96001 q% n. a! l5 m$ ]/ @
14.7600 290.2400 14.4920 2.0400
2 H/ z2 c. l5 ?0 N 15.6240 294.0520 14.8720 2.24009 F! U* Z2 {8 S, Y( `; F* G
14.5440 297.4480 18.4120 3.0800) f! V( e' |* a, C9 J
16.4880 297.4160 17.7680 3.3600 s4 h( V6 r5 S& n* Y! l! Q- `! K
16.0560 294.9120 14.1920 2.74007 q2 U0 F8 L) z8 _6 I0 ?
13.6800 300.9440 14.5720 2.3800% M$ {1 }. U8 `
13.3920 302.0360 14.5120 2.3600$ e# }8 |' V8 F% ?# F
15.4800 307.5560 14.4200 2.4200" i% I' {$ O8 z+ T v0 X8 m
12.8880 303.6000 14.6480 2.40003 w* j. p q2 O0 N/ |
12.8480 306.8360 18.2720 3.0600. J0 v; h$ c3 D( j: e
14.3600 304.0480 17.6880 3.3600
( R1 h7 O1 H1 z! _7 h( J u* i 13.7840 300.0320 14.1720 2.72003 M* }/ |% r: Y$ C) I1 \
12.7760 301.1600 15.1240 2.1000- Q2 Y* W0 R7 P( \4 ^
12.9200 307.6480 15.5280 2.1200' {. {: C' }$ \# j5 M* l
12.8880 306.4080 16.0800 2.0400) |7 t C. T; E5 r$ Z
14.4000 300.1880 12.7560 1.8000
7 x! y5 H6 O* V- ]4 D$ n 14.1120 296.6520 17.1200 2.4600
" U* l8 { T, t2 n8 \' V 14.4720 290.6160 17.0080 2.8400 D; \* C9 ~# E; u. g5 q9 @
15.1200 287.3560 12.8280 2.26006 b( X% r0 X! `# H: h ]4 e
14.6880 290.6920 13.2520 2.0000
1 d4 v1 G: c M0 C; ?; e9 R! C 13.6800 298.2680 16.7680 2.2800
% V& J1 ]) |) l%第一列为因变量，后面三列为自变量
5 e& k1 K; p6 Q+ ]3 K>> y=A(:,1),x=A(:,2:4)
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y =
. c* F8 x# ^" B" s1 N, v7 K( j( Q( d8 J: b: D, {# J
15.1200
; v) `1 q# [4 ^' z 15.4800
4 b1 m: P# c+ H @0 G2 H 15.3360
6 |' m% N5 `2 Q; R9 x 12.8160
& _# \# ]. v/ p, g9 U. N) m0 c5 B 17.0000
2 x1 K( t2 G% D- a 16.2800
8 m( I1 p1 o+ Q& p, y. v 15.5600
2 e4 x( ~) c# E f 15.3440
7 ]1 U `1 J& i$ {7 G6 s. b9 m; x0 w 17.3600
4 g8 @! N4 ^6 `6 o: Y7 u6 |/ o 14.76009 q% P. |! f7 U( s/ D
15.6240- r1 M2 o& ~5 l0 @. e" k( m {
14.5440: T2 T, A3 O8 j" _. E
16.4880
2 F, ?+ o) F9 z" N% x 16.05605 N" O* \1 i4 N- G+ O
13.68000 A: D; Y& `+ D
13.3920
. q# e" R; C$ T/ }2 U5 \ 15.4800, s: V- p9 V8 `- Z# ]6 Q2 ?
12.8880- Q# q8 f3 n$ s2 [5 Q
12.8480( m$ e$ z1 I* B) u E: B
14.3600
3 \1 w: C, P U0 V( Y+ W/ K/ U 13.78401 }! @, y- j. J9 s4 ]0 x2 z
12.7760
6 g8 K2 f3 _+ M; v t 12.9200
+ T t: {* ~0 f7 L 12.8880! m; e6 J% k; G, _
14.4000" A" ?( \4 Y5 {
14.1120( l' a" N$ k9 ]3 h8 C* @ J# W3 R: `
14.4720# S! K+ I+ ~: t. [6 R4 O
15.1200
7 t; s; P; e5 Y, f" h( q 14.68802 ^3 X9 P& g* ^. y5 m& X- k
13.6800# s/ R! {4 |3 K
1 z4 L' K+ h/ R2 c
3 @. p% ]$ x, S9 y* \3 r* o) Fx =* m+ ^* g# S6 k+ r2 C( a/ u
' ?; U8 }9 `, r5 @
272.5640 11.5880 1.90006 i6 f ?. n/ Z2 T1 g7 |! @! x' V
277.3200 11.2400 1.82003 K1 n5 {5 y# V! Q
285.3600 11.6240 2.0800& u8 O# s, i2 W" u# g
295.3960 11.9280 1.92008 D, b- W. R; J/ [: H
300.7920 15.1080 2.5000
& k/ B) \" H; Y$ r, | 296.5760 15.4040 2.7200
9 N% p* G* @/ `9 d 291.5120 12.8200 2.2200
' W9 \+ r+ K1 E; E# E) q 289.1520 13.8640 1.9600
( W' z7 A7 p4 y; s ^. X 288.3760 14.1440 1.9600
0 h5 k$ }% o% A9 V8 ] 290.2400 14.4920 2.0400, C6 r! M! Y+ W$ y4 j
294.0520 14.8720 2.2400
; ~9 B% Z# U/ e5 p/ z9 c) Z 297.4480 18.4120 3.0800* g0 B4 i9 e% S5 x! j2 a; R# g
297.4160 17.7680 3.3600/ O: U+ S( w: j4 y7 |" H
294.9120 14.1920 2.74000 }4 c$ u0 }& P7 p
300.9440 14.5720 2.3800
, [5 M2 m5 z7 K. m+ }* D1 \. a 302.0360 14.5120 2.3600
+ B4 C$ [, h5 e0 _ 307.5560 14.4200 2.4200
& |( U% g6 d6 l1 ^5 _4 ? 303.6000 14.6480 2.4000/ q$ L: ~% {' t% q: ~) v1 ]6 J
306.8360 18.2720 3.06003 ?6 v ?5 e+ B+ D2 Q
304.0480 17.6880 3.3600
C. ^& C1 C1 ~. v4 g 300.0320 14.1720 2.7200
: t2 W& a; y4 y7 ^: x 301.1600 15.1240 2.10008 C; i# p3 \- H% e& `) |3 ^" C
307.6480 15.5280 2.1200
& v$ q; S5 ?4 b8 {; v 306.4080 16.0800 2.0400
2 k2 b! }' y4 x* A5 A6 Q, l) i+ s& y 300.1880 12.7560 1.8000
1 }, T$ D+ U' R* s+ i( s 296.6520 17.1200 2.4600" k5 a: R1 r9 _! I. H7 c, k9 b c# c
290.6160 17.0080 2.8400
& p# | `; n+ U* ^' X 287.3560 12.8280 2.2600
9 `6 n Z0 N* n3 ~. p- t) ^ 290.6920 13.2520 2.0000 [- ~6 y$ b5 X0 @8 p; t0 `
298.2680 16.7680 2.2800
8 E0 @6 t: s+ t; F. L7 o+ I3 p3 k
>> B=regress(y,x)
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B =
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# G# K' N( |: p' t) f+ K9 i 0.0587
& Q- J5 t" d: x+ v) x( Q* f( j -0.4411
" a0 }* ?) ?* t/ X- L) \! ? 1.5818
7 i. w. `7 m7 E. o& W: O: k9 I+ u" ^" e. ?8 S
请教大神，怎么对系数进行约束（0~1之间）。
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发表于 2020-7-22 09:43
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