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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）& n0 d3 R, s* c0 F D3 K. R
下面是我的数据和过程
* I; r9 }0 B z e @9 x# D1 XA=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')
/ G5 n/ H$ c4 w* K7 `9 |
% U+ F2 h) Y; v! E8 Q/ xA =9 `" t ]4 u* I
( d& [# ^" p. ]; N* w9 i 15.1200 272.5640 11.5880 1.9000
7 C$ V" m& }* D$ \' s0 D/ [ 15.4800 277.3200 11.2400 1.8200
, t- p: E2 C6 G% _) U# m6 W 15.3360 285.3600 11.6240 2.0800
' |! w7 Y6 W- `2 P9 d) X 12.8160 295.3960 11.9280 1.9200
. m9 G: P5 r3 q! r7 x$ w; b$ F' |8 y- B6 j 17.0000 300.7920 15.1080 2.5000
+ r* y' G5 C9 P9 q- r, \ 16.2800 296.5760 15.4040 2.72006 Z' c0 R( u: ?" s2 ]
15.5600 291.5120 12.8200 2.2200 V2 z' S4 {; k, J' u
15.3440 289.1520 13.8640 1.9600+ g( {0 m% a" s
17.3600 288.3760 14.1440 1.9600$ Z3 e3 T6 A! N2 S2 R* z
14.7600 290.2400 14.4920 2.0400
2 }, _0 V! a" l" _0 P: R 15.6240 294.0520 14.8720 2.2400) A! A7 ~7 \4 i. l) o$ Q
14.5440 297.4480 18.4120 3.0800, ]4 \- k1 |% M( L) b5 v
16.4880 297.4160 17.7680 3.3600
9 l9 h7 _ v, O+ U 16.0560 294.9120 14.1920 2.7400( z Z% w9 E P
13.6800 300.9440 14.5720 2.38002 z0 Z+ Q7 v4 G
13.3920 302.0360 14.5120 2.3600/ n& e$ a. g# Z" m* j% w- a0 Z
15.4800 307.5560 14.4200 2.4200
! r7 C. t3 P; ]0 P7 P 12.8880 303.6000 14.6480 2.4000
7 a6 G! x; [4 B 12.8480 306.8360 18.2720 3.06006 L( |- J/ G7 Z: T9 l/ N- u5 L
14.3600 304.0480 17.6880 3.3600: |' ], ?' k) D) c% H
13.7840 300.0320 14.1720 2.7200
* b4 @, `' K$ c 12.7760 301.1600 15.1240 2.1000
- e3 g( D4 L. T 12.9200 307.6480 15.5280 2.1200+ g$ u' }" c& @& H1 q& i& v
12.8880 306.4080 16.0800 2.04006 F& y5 w/ S6 V
14.4000 300.1880 12.7560 1.8000
& k9 ^' o: I& h [* L; X 14.1120 296.6520 17.1200 2.4600& I$ R6 l* F( s* x8 |4 v& \3 L
14.4720 290.6160 17.0080 2.84006 B/ ]- V! ?# s; b
15.1200 287.3560 12.8280 2.26006 {. i' M d, ~2 a D$ m$ a/ Y `
14.6880 290.6920 13.2520 2.0000
) g) T. a3 q2 a; A, ]% r! w 13.6800 298.2680 16.7680 2.28002 q$ T0 T: G/ }
%第一列为因变量，后面三列为自变量
( T4 w; O) ^7 ?3 [# G9 l8 _>> y=A(:,1),x=A(:,2:4)
$ A! w4 D6 Q: W2 D& t. x) K) M% R/ `% \( ^: s
y =/ F/ N5 q, Z) D( ^; ]7 _
" M J% u2 [. ~
15.12000 {: d7 ?9 Z2 \; G0 _. R! I
15.48000 B2 `) g6 Y7 V& t% n
15.3360) E1 Q! P. G, y% z% C
12.8160
8 q4 Z' m% X1 o. W! ~, d 17.0000
/ A, ^4 R. F; m3 B4 z9 s* T: I 16.2800* F5 T. u# @* T/ h
15.5600
' C& L% ?+ I! m( O: e7 W: j 15.3440
w! P+ D9 i! R+ z" d 17.3600
: F" Z. W% h- J; Y1 s- @3 K 14.7600! Y. o/ P/ Y) f: Q6 B5 ^
15.6240* |6 E: D9 O& c
14.54402 e ]+ _7 N) _# G4 s( n
16.48809 ?. t& C4 g: @, c& W
16.0560( U ~) V" A% c. W* C( Y
13.6800
# ~4 Y* W$ r( v 13.3920
" G# s4 u( Q; O2 ?# z0 O, I, _ 15.4800
1 \- P- H# N) Z/ q' t0 p5 W( |/ k 12.8880
& C/ m% h; {7 u, w4 A+ Z 12.84803 C# y7 P3 x1 ~. P7 \! U: t, k4 Y+ T5 K
14.3600
8 Y. n4 k/ i( R$ l 13.7840
# [4 e2 \# j2 `. W( m7 d) C" V I 12.7760: j4 j* O |$ L: L+ Y f! v% B
12.9200
1 m* z. y: J+ u; a 12.8880/ x; j$ Q* h2 m# z/ s
14.4000
. b, f2 E2 J6 q+ f1 `7 l+ |9 N 14.1120! f, D0 G; ^* Q, i& M: p
14.47201 n4 H( u- }5 b7 M8 f
15.12002 ?; k8 t' f& u6 R* F
14.68805 `1 {% s; n+ r& y
13.6800
4 {- O: \# U3 V Q1 ~0 Z3 V7 X+ \! @2 V0 u( J& E' o, A! s& r
$ H' `+ C4 n4 _! N' D- S2 K- \$ e
x =' ~4 c5 e/ y! M6 @8 D+ b8 R
( s* P$ i5 W/ ~- o1 Z7 C 272.5640 11.5880 1.9000
, e: c4 }$ z! p7 S+ J1 ]8 a0 w 277.3200 11.2400 1.8200
( X+ F/ G+ o3 d0 M$ G* | 285.3600 11.6240 2.08009 L: r* |3 R% K, H" f
295.3960 11.9280 1.9200
. [8 _6 s4 r/ |" m0 N 300.7920 15.1080 2.5000
) D5 l2 {, P8 |4 o; N# s/ l) y6 a% s 296.5760 15.4040 2.7200. |( \0 K, R% G- ]2 M2 S- r
291.5120 12.8200 2.2200$ k& ?1 e8 `1 w) R$ Y5 f; f
289.1520 13.8640 1.9600
: p) i. Z' B' h0 S0 D 288.3760 14.1440 1.9600
! p- O h3 W1 i z4 S 290.2400 14.4920 2.0400* {+ a/ n) R: {: P. g7 x- {: \
294.0520 14.8720 2.2400
0 p! g+ {3 b- M4 x 297.4480 18.4120 3.0800. |3 v+ v* f i
297.4160 17.7680 3.3600+ L, ]+ q) L$ R2 t, z
294.9120 14.1920 2.7400
+ u' x( D/ ~* r- A5 Q 300.9440 14.5720 2.3800
4 C. M1 v6 z( q$ {# U& B 302.0360 14.5120 2.3600# K( z: Z' s% Q. ] L
307.5560 14.4200 2.4200( ]* I5 U |4 d
303.6000 14.6480 2.4000
( E0 W1 U2 [9 P5 N3 p/ {7 O5 _! u 306.8360 18.2720 3.0600$ ^* i" B9 A& |8 E6 L
304.0480 17.6880 3.3600
& ^1 k) [1 d0 j 300.0320 14.1720 2.7200# `" w6 \+ E# ]% b' F9 D
301.1600 15.1240 2.1000
. b3 P# C5 s' ~7 A 307.6480 15.5280 2.1200
6 C6 B) V- B. `; x; J 306.4080 16.0800 2.0400( @0 e8 O R9 g, @6 N0 G3 P2 S
300.1880 12.7560 1.8000' Z9 ?6 F! Z' F( ~- o
296.6520 17.1200 2.4600
/ F* P9 |3 O; u! T; h2 P. b5 o# X 290.6160 17.0080 2.8400
3 e8 ^* i& Z' Y$ q& t 287.3560 12.8280 2.2600
1 Q' ?$ \$ U: b' Q 290.6920 13.2520 2.0000* h5 @( {' ]! t1 Z2 e+ f2 i. x
298.2680 16.7680 2.2800
, w5 J9 B2 @. }: ~% g# Q9 O* q6 O- j J9 }
>> B=regress(y,x)2 Z/ Q8 c! u" Y3 d/ ~$ q8 S$ l* w
, T9 d: {, @8 D5 c- c! v) m, pB =
' ^5 h; P1 m5 ]) ~ M. D1 c
6 ~6 _, s" t3 Y7 i6 @' j 0.05874 L G$ U# B' B/ {! |
-0.4411
$ ]. ]4 s5 {9 p4 v" h% o% p 1.5818
, `% p. W- L& v0 ^) `
6 R! j6 u3 I5 i a! t5 y0 `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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