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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）
6 z! f% W8 z3 F2 y2 s7 _下面是我的数据和过程
9 C8 ?& N' D7 l2 U: u# y' vA=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')1 {% u6 @# U* g0 ?! @4 n% m
$ a& X* d" |! L4 S) y; tA =
; Z5 f* X7 s( i1 C
2 [4 Z* Q! X5 C0 ?8 U- I 15.1200 272.5640 11.5880 1.9000
. O# f- A" Z4 T _; L0 B 15.4800 277.3200 11.2400 1.8200
7 _2 j8 J1 A- }% K, o 15.3360 285.3600 11.6240 2.0800
5 r( ^( _" y V5 p$ u8 r 12.8160 295.3960 11.9280 1.9200
/ i" f1 l2 I1 L4 T9 y/ g. w 17.0000 300.7920 15.1080 2.5000
6 K$ F1 m, ?* J 16.2800 296.5760 15.4040 2.7200
8 c0 j. X) S& \; a) e. ` 15.5600 291.5120 12.8200 2.2200
5 B- z" O0 x H0 m1 Y 15.3440 289.1520 13.8640 1.9600
4 w+ q+ a; A" O& w 17.3600 288.3760 14.1440 1.9600/ W7 v* b; x; t9 c7 Z
14.7600 290.2400 14.4920 2.04008 ~& |7 [9 s9 L9 P* S5 m
15.6240 294.0520 14.8720 2.24004 A" W& J7 I3 E7 w- k3 W
14.5440 297.4480 18.4120 3.0800
3 z8 P! X! k" d: w6 B 16.4880 297.4160 17.7680 3.3600
/ Z9 w8 O! n) I8 q: R 16.0560 294.9120 14.1920 2.7400% e5 v9 D5 `9 _. u4 Z# |
13.6800 300.9440 14.5720 2.3800, h2 R5 b6 X& |: d! l3 V/ a X
13.3920 302.0360 14.5120 2.3600& z, M% V V. j% t
15.4800 307.5560 14.4200 2.4200$ M4 n! n5 A! J5 ], _: d$ X! a
12.8880 303.6000 14.6480 2.4000' E. O9 D' e+ u$ U! f
12.8480 306.8360 18.2720 3.06001 G& E- s8 w" V9 w( N
14.3600 304.0480 17.6880 3.3600
; D" L a' i1 Q' X4 S# u 13.7840 300.0320 14.1720 2.7200
% N3 b J3 J8 `: V8 _ U8 ~# V 12.7760 301.1600 15.1240 2.10004 m3 K n7 a) o8 J) M) R: V! }
12.9200 307.6480 15.5280 2.1200
6 G$ C( z9 c* w' L- v1 S 12.8880 306.4080 16.0800 2.0400) G9 L( c# O0 D( c3 H& L7 T/ |
14.4000 300.1880 12.7560 1.8000
+ L' \6 O5 A1 o7 d* q1 e0 V+ T; q 14.1120 296.6520 17.1200 2.4600
) j2 \- k8 |# d# w$ T& z c 14.4720 290.6160 17.0080 2.8400
3 q& A8 t6 r+ V- C: V# p$ g 15.1200 287.3560 12.8280 2.2600
' b0 M. ]* a. m 14.6880 290.6920 13.2520 2.0000
( k! L, i. \# R8 Y1 q1 e 13.6800 298.2680 16.7680 2.2800
$ i5 W. S0 k0 C%第一列为因变量，后面三列为自变量6 S2 d2 F& u0 t9 {# y0 Y
>> y=A(:,1),x=A(:,2:4)
8 G9 \; W; c- L X1 M9 W4 R& l
2 m3 ~) X. Q- c! by =
+ i: X) \ P& ~8 F+ ^
0 S4 |1 o. K6 i4 P 15.1200
- K: ~( l* w' c9 _, | 15.4800
" y& p( N# f( Q" K' v 15.33604 e" ~9 \1 E- V, `$ N$ _. J9 P
12.8160* z, u, @* I' T
17.0000$ F: i7 ]# x$ T X
16.2800
8 Q' H9 [$ Q1 `" Q6 c% w 15.5600
) B/ D1 F$ s* Y& H0 o 15.3440% N( Z" j$ F- Y( y4 J3 H
17.3600
9 ^! }" l8 w+ ]8 \* a1 A 14.7600
) Y1 n/ c1 h8 M1 x3 n 15.6240
7 Q" X) c0 d! g( U 14.5440
% R1 _: k& B# o% R 16.4880
+ P. Y- d8 B& O: \. @6 ^ 16.0560, \' g( M' V* E% o
13.6800, x$ i$ `! I/ E
13.3920
8 ~1 l% {8 f( r% l# Z$ {& S 15.4800
; X# r$ E) H$ U3 B& ^ 12.8880
1 K, H N$ _/ R 12.8480- l, e$ q) L, {: O l
14.3600& {7 L: G4 d8 @8 f. m% z m
13.7840
) C$ v8 q) \9 {# z% d$ s 12.7760$ Q( x4 E8 m( N5 o7 O3 P
12.9200$ t" ^% V4 r' b6 b
12.88808 E, r L0 G6 h! P# ?% c1 N* @
14.4000
9 n! a1 `% H+ r5 b( l" c 14.11203 d8 [8 |( Q; v. d3 `; I! a
14.4720/ C: e3 f E" _3 d5 f" K
15.12006 g% c& Y# _+ f8 P M- c
14.6880
@" o. O( i- Y! C& h 13.68007 d/ _' Z! {1 Q0 m7 S X
) j3 m" \. y# X2 d5 Z8 b( o5 p4 ]: q8 v7 t( ]# j! ?
x =
: l L3 W2 y1 g! C# T. I; a
( n7 j" E p# g 272.5640 11.5880 1.9000
, J, f3 j4 k. x. x7 @. I 277.3200 11.2400 1.8200
0 L# B4 `& l4 a+ s1 h 285.3600 11.6240 2.08000 Z0 @6 r( a& _; S$ r0 Z
295.3960 11.9280 1.9200% o* n* R5 Z3 s2 e4 I
300.7920 15.1080 2.50007 \) p- N9 c9 O2 o# M/ g
296.5760 15.4040 2.7200
& D5 h' s! T! S/ a* `$ X: q+ n 291.5120 12.8200 2.2200
. b! G% K9 F& G* t e! b 289.1520 13.8640 1.96008 w C, [& H9 |; ^
288.3760 14.1440 1.96003 T) {# I+ {, N& M0 L) h
290.2400 14.4920 2.0400
. ~2 i8 ~8 i2 K1 t 294.0520 14.8720 2.24002 p: {: K6 G; x4 _/ l s
297.4480 18.4120 3.0800
, O! b! g1 V F* { 297.4160 17.7680 3.3600
- ?0 G3 n" E; y, E7 ?, @ 294.9120 14.1920 2.7400
* a' v& z* t6 v' Y 300.9440 14.5720 2.3800
5 q, L, }) e$ R' C 302.0360 14.5120 2.3600' Y2 k( N# E8 j7 L9 C# G6 B% [
307.5560 14.4200 2.4200% V. T% [7 g$ H) M4 p }, X
303.6000 14.6480 2.4000
' e4 o) p+ @# b# v 306.8360 18.2720 3.0600& }5 p! e J& d6 z3 y4 L+ H. x
304.0480 17.6880 3.3600
" Q1 p8 b' m! L! @7 \ 300.0320 14.1720 2.7200
0 g. A7 ]. k; Y/ o/ y0 J& g 301.1600 15.1240 2.10002 {" P8 o; l: F0 K- e: \' t
307.6480 15.5280 2.1200$ b) U9 }& [8 Y5 }2 }
306.4080 16.0800 2.0400
3 X- j& G/ ? m% ~/ K& {4 w n 300.1880 12.7560 1.8000* _( _) O' W* p: u: q& S K
296.6520 17.1200 2.4600
. f1 j% |: p, t6 Y9 ^ 290.6160 17.0080 2.84007 t' t4 `7 p/ U- ^' f6 ~ Z0 a; g
287.3560 12.8280 2.2600
1 b( o9 w7 H5 p: [* K 290.6920 13.2520 2.0000
! j, }% s$ h Z) ? 298.2680 16.7680 2.2800
! x' L( m2 w L8 o Z2 L% u
1 _: C- s$ x0 A5 M- m) ^" u>> B=regress(y,x)) ^ X! t3 P* D ]
2 r7 F4 D+ R) z. ^8 O7 I6 D
B =) X& s, U+ B& g/ ]8 z( I" M+ D
# P8 E( h& z9 w& @# f! I0 { 0.0587/ {9 Z) j c; j3 |* p7 i
-0.44112 b: a' H6 z5 f
1.5818
4 t5 z: b$ @: X" M9 R/ l: D6 k+ J9 [( F
请教大神，怎么对系数进行约束（0~1之间）。/ P+ j/ |" ^. l. u, v% s( x5 A q
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发表于 2020-7-22 09:43
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