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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）' D5 G1 c) ?9 m6 Q. b! v2 Z" l9 ^
下面是我的数据和过程- c$ ?& b T+ f( @9 h* ^0 b* z
A=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')7 _# q/ i Y( F- V3 u S& u
- X a7 \) v w" q8 C c& r# z' L- EA =1 x* C: ^: T5 O! v
8 r! L4 _- P, z \% `" F D 15.1200 272.5640 11.5880 1.9000
% u; W, l; {6 p5 R( V9 m! v+ M 15.4800 277.3200 11.2400 1.8200. l4 ~5 Q* K% Y' q8 ?" v0 q; |4 S
15.3360 285.3600 11.6240 2.0800
5 I2 {, \% `0 a2 R- R$ V 12.8160 295.3960 11.9280 1.9200
) ~& @2 A% T3 s 17.0000 300.7920 15.1080 2.5000
! ?7 Z% w6 g" t% p5 O 16.2800 296.5760 15.4040 2.72004 X4 j- I* C, d7 W) n2 B/ `- F
15.5600 291.5120 12.8200 2.2200
0 n& }' j! V0 z# y; v 15.3440 289.1520 13.8640 1.9600
2 _6 Q0 B& ]; d' u 17.3600 288.3760 14.1440 1.96004 S" {) s3 Q2 {5 v/ o* b( d' Y
14.7600 290.2400 14.4920 2.0400 f3 Y& {6 c5 p( G
15.6240 294.0520 14.8720 2.2400
" V( D- _, w+ Y4 H; z; r7 h; ` 14.5440 297.4480 18.4120 3.0800/ [4 V. H- `5 E- H/ A. C
16.4880 297.4160 17.7680 3.3600; X/ e; m5 ]" }- E4 O# H1 e
16.0560 294.9120 14.1920 2.7400
9 T" u& S/ N' P8 R; ]4 ` 13.6800 300.9440 14.5720 2.3800
" w% `0 Y: q' b2 C 13.3920 302.0360 14.5120 2.3600
4 r C! J8 ^3 v! S 15.4800 307.5560 14.4200 2.4200, S+ i( C5 e0 Q" _7 J6 {- j4 }% L
12.8880 303.6000 14.6480 2.4000
8 q. w9 g# J: a* k- N' J 12.8480 306.8360 18.2720 3.0600
& |% J9 l" g, y! H; F2 P 14.3600 304.0480 17.6880 3.3600
; D2 X% g$ v' r0 B7 ^ 13.7840 300.0320 14.1720 2.72003 n2 z v2 z4 y
12.7760 301.1600 15.1240 2.1000
! C; i7 A6 A- b5 O; T 12.9200 307.6480 15.5280 2.12007 [$ I% r ]6 E7 I" R
12.8880 306.4080 16.0800 2.0400
+ L$ B* h/ Q8 j; }( G 14.4000 300.1880 12.7560 1.80000 m( G" ^7 G8 n. _# d. L- I, q. r
14.1120 296.6520 17.1200 2.4600
& q) `0 C1 N/ c. U& Z8 z 14.4720 290.6160 17.0080 2.84002 c* ?/ {& z% l+ e5 f4 t1 X
15.1200 287.3560 12.8280 2.2600) p4 v2 Y9 n5 T5 s; n
14.6880 290.6920 13.2520 2.00006 X8 x0 \" H( z/ e, |* T+ @
13.6800 298.2680 16.7680 2.2800
, o/ w, a! V* a%第一列为因变量，后面三列为自变量, k! c! R+ o; v8 T
>> y=A(:,1),x=A(:,2:4)5 y; _/ z+ I5 d/ \& b. [1 J8 G- c, l
( i0 @# G! t, r9 Q- g4 ]
y =2 }. ?! L+ d% ^( P
; X' G6 U9 P( A6 m4 `" O \# @
15.1200
% J4 b- P' U1 X2 B2 | 15.4800
. S$ H4 F% R& y. W 15.3360
. G. X1 k+ A3 W( l( U, g, a$ Y$ I; B 12.8160# y8 F3 W3 c1 q( z2 g
17.0000
* m+ [2 w! y2 f 16.28006 y9 y }# W: D4 m7 n
15.5600; g% V8 ^, |" u4 w
15.34402 _& l# m1 V. u9 H4 i
17.3600. Y z+ ?7 I2 n3 t" _& f3 e
14.7600
& w! ?9 |% W$ w: U4 f 15.62404 w! E: S4 O1 b. p4 w
14.5440
( ~% @' r8 y0 f0 i 16.4880
# K4 w X& |7 Y" X 16.0560
5 O2 Z) n9 @; v" @1 o 13.6800
- ~" b4 g9 w0 x( S3 I 13.39207 g9 X' r4 V4 z p
15.4800' a1 \/ {; x1 F% d/ n; A* ^
12.8880" [( k5 k: @; `) C8 h, m7 X
12.8480
4 C: y5 W+ |' {5 f 14.3600
( g: c- @$ a1 P8 m8 _ 13.7840 l. X) y2 l! ^. z
12.7760/ v0 r9 @# W' w$ J9 W: x) R
12.9200
3 O0 ]8 F) U6 j. O 12.8880
! j2 H5 I: M3 p7 e8 W5 B 14.4000. @% w) C. Z1 {8 F. i4 E( v
14.1120
$ L1 Q) \& @$ ?* ? 14.47208 {. [: E3 w* c. p
15.1200* g( m4 W* [4 T# V2 E6 N5 |
14.68805 i+ A7 W, z. W1 M5 `
13.6800
- J+ W9 [. x: ^" k/ i0 p% B3 N& X! C/ e/ G" J5 e7 D" J
* Y* v* L8 `# K3 U" p% Y) Y4 Yx =, ^+ l2 |. O! l
% \" m' O" \ g* x7 {
272.5640 11.5880 1.9000) J& {+ ]- J: J
277.3200 11.2400 1.8200: U4 Z# O( P5 [' }- u5 C
285.3600 11.6240 2.0800
8 v [& g6 G) I: \" H1 v 295.3960 11.9280 1.9200 q2 |. m8 ?% A$ J
300.7920 15.1080 2.50004 p2 I# h% R8 r; R
296.5760 15.4040 2.7200
( d# Y0 B& T/ U5 `: ]% V 291.5120 12.8200 2.22004 n5 v# D& \/ h6 v# D' B6 O
289.1520 13.8640 1.9600
7 Y. d' o4 m H2 z7 |) A- V8 e2 w 288.3760 14.1440 1.9600
' e" _9 M; v! T 290.2400 14.4920 2.0400
! j- \* f; U: G6 j# F" ^- m# | 294.0520 14.8720 2.2400
% X$ \" R/ n& ~( N$ i, D 297.4480 18.4120 3.0800
' s* B4 |; A% n$ ]& q9 c( r 297.4160 17.7680 3.3600( |; f9 G# R6 M: E% X8 Y& `9 O: f
294.9120 14.1920 2.7400
0 m, p6 m1 {5 C S9 F6 Q- V' s$ _- k 300.9440 14.5720 2.3800
" R ?4 x3 k' G 302.0360 14.5120 2.3600
( _: B& ~' S: o$ |4 [5 A7 m% r3 t, Y 307.5560 14.4200 2.4200
* l l$ K+ \7 v# [( _, ? 303.6000 14.6480 2.4000
# p9 d6 u( U$ H- s6 h 306.8360 18.2720 3.0600
$ L! M* w; I1 l* ~; @ 304.0480 17.6880 3.3600
9 r I( ^4 w9 E- s( x3 b 300.0320 14.1720 2.7200
$ l9 i* b9 \! b3 S 301.1600 15.1240 2.1000
; h* E4 m* h( y5 F9 E D9 |" ]0 T 307.6480 15.5280 2.1200. z& i6 V5 W- z4 E6 F; Z
306.4080 16.0800 2.0400
; ~9 U$ O" W; V- k9 | 300.1880 12.7560 1.8000- T8 Z" g I+ s' ?/ g
296.6520 17.1200 2.4600
0 Y3 R S m; C7 w) V) i, p6 ~" ? 290.6160 17.0080 2.8400
7 J8 p# c# R0 K 287.3560 12.8280 2.2600, P/ j1 B" o3 o$ v" q9 r
290.6920 13.2520 2.0000
8 f f' Q( W' |" [, K% Z 298.2680 16.7680 2.28003 o* M5 c4 }, a" F9 n' ^
1 \; q. D8 M N. V>> B=regress(y,x); r( a9 c+ V" m8 {; Q8 B g [
: C. N: t: y# {5 |! q! w9 g
B =8 q: r4 J$ O# p
( s: c8 Z: b7 N+ i, S( f! s
0.0587& V# H& }" ^' ?% B" K' ?/ V
-0.44119 s, o! B) x; b5 V
1.58188 `6 m/ H4 `/ A" W" ]' D
' n, F* [$ M+ F, g; A0 S7 ~
请教大神，怎么对系数进行约束（0~1之间）。1 G; w8 |1 K/ H$ g+ D4 d
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发表于 2020-7-22 09:43
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