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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）# l1 v s+ z$ }
下面是我的数据和过程
) b: G/ {$ ~6 YA=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')
, ~$ ?1 O% y5 @( `$ O
* C4 p1 W9 F! _) j" ~3 Q5 x4 @. \5 ?A =
* E4 {1 `0 ]1 k0 w2 d( _+ O' i3 {/ s$ o$ q
15.1200 272.5640 11.5880 1.9000" N$ [7 \# [- F8 L
15.4800 277.3200 11.2400 1.8200
( }5 m0 L; `4 N8 \' _, ` 15.3360 285.3600 11.6240 2.0800
+ w; p% T9 l" n5 G 12.8160 295.3960 11.9280 1.9200* t8 Y1 Y0 I q) K1 c% l7 Q% z
17.0000 300.7920 15.1080 2.5000
3 s; j+ I/ C4 r- N 16.2800 296.5760 15.4040 2.7200
! \' v; l, |* ?6 y T; h 15.5600 291.5120 12.8200 2.2200; w- j8 F' k1 N( ~ o s0 D$ p" |
15.3440 289.1520 13.8640 1.96004 h6 O+ R8 t5 _2 u5 p
17.3600 288.3760 14.1440 1.9600' \7 }( \4 E( u
14.7600 290.2400 14.4920 2.04006 N8 R$ D) r8 i+ d* W& ~) v% O
15.6240 294.0520 14.8720 2.2400
9 b6 q: P. Q& @- Z5 C' `/ H( e# t9 _ 14.5440 297.4480 18.4120 3.0800
; j. @' B, V1 X: }0 C2 u 16.4880 297.4160 17.7680 3.3600- A% e3 U; m# [ D% B3 F/ y6 M% j8 |9 ]8 n
16.0560 294.9120 14.1920 2.7400
y* q z6 z/ W 13.6800 300.9440 14.5720 2.3800
0 } z a9 a( k2 e. z+ `* c 13.3920 302.0360 14.5120 2.36006 R4 Q& ^5 y& U0 D
15.4800 307.5560 14.4200 2.42000 D- c/ P) c" ^* ~
12.8880 303.6000 14.6480 2.40006 H+ M- ]" |. y
12.8480 306.8360 18.2720 3.0600
2 M9 o, t" m+ A( B 14.3600 304.0480 17.6880 3.3600
7 ^5 G( f* W& P" m7 W9 p+ Z 13.7840 300.0320 14.1720 2.7200
" _5 \( b/ x" l! e' P4 V: B 12.7760 301.1600 15.1240 2.1000
B" J) v0 [8 ~ }0 E 12.9200 307.6480 15.5280 2.1200
3 @9 E4 d" o8 [+ g: q+ i3 c1 J 12.8880 306.4080 16.0800 2.0400: @. `* z" @) J1 g% \4 F- B
14.4000 300.1880 12.7560 1.8000# k! v1 K; {( R8 S8 X* s/ @
14.1120 296.6520 17.1200 2.46009 x, C6 j. K' z; K! [& D4 G
14.4720 290.6160 17.0080 2.8400 v* ~) r" U9 u4 }7 d: }
15.1200 287.3560 12.8280 2.2600
; _, M7 E, S1 p1 ~# f7 W) b 14.6880 290.6920 13.2520 2.0000- S; Q+ s3 c! Z) S
13.6800 298.2680 16.7680 2.2800' t3 O8 ` |) `
%第一列为因变量，后面三列为自变量
# ~" Z% f* j' Z# i, M/ B* Q4 e>> y=A(:,1),x=A(:,2:4)
; _3 X0 O' t' k, B" [' u$ c a% D% z9 X2 f+ z7 X/ r
y =* c* H, p/ b3 ~ |% M! ]
& V: c" m P4 F# U$ k1 D
15.1200
n$ ` }3 d) T0 R, f 15.4800( N6 ?. F, m( r% x+ L! b
15.33602 r. m3 G- o& j z5 y. E( d
12.8160 \! Y' s1 G B, K4 W
17.00001 t1 Z( N0 E' Z7 ^
16.2800/ H0 |6 t( z* }( w. b
15.5600$ w7 b+ r/ T4 `: T
15.34405 D4 w5 |: |1 y$ D" K
17.3600' ~; P; j0 ?- }+ Q: V: H1 h- e
14.7600% I% c5 f g, _# [+ P
15.62402 u U& {9 H4 b, x! B
14.5440
! U' I) B6 A+ K+ w0 [0 ]) a+ \ 16.4880
- D1 h- K& p9 p0 O: d 16.05605 L* N8 p. X9 v c4 e
13.6800
6 o! T" t) |( w1 i( b 13.3920
4 p: v' F' l5 g 15.4800
& Q# u" Y5 Y W/ ?9 O. K3 O 12.8880
/ o( }( A! ]! ] p: w a- @8 V 12.8480& ~( \* V' ^- { K
14.3600
) {, I/ X1 c3 @0 r8 k 13.7840
8 V2 {9 o% v! P2 G- l, k 12.7760! z+ t( Z1 e7 L) i, i% k
12.92005 W: Q# T6 u( w1 d! g& M
12.8880) `' E7 W( |- c: X( e* u% m
14.4000* V, y J6 F5 n: T: l
14.1120$ C; M+ l3 J0 l" [
14.4720
; ]- d+ i: h3 K' S 15.1200
8 f4 u6 o* I+ q2 l" h1 @5 T' v. V 14.6880
& N( M9 Y+ _/ S8 ~3 g, [2 I8 ^ 13.6800; X! P4 l, O' t' ^
d f6 p) U: |: g8 l
; }3 s, s+ a! @9 C4 V; N
x =
) [; g5 i! _" D9 }
% `0 H3 Z2 L% T4 \, q 272.5640 11.5880 1.9000
. `; @+ h$ V- A0 d, Y+ ` 277.3200 11.2400 1.8200
8 q8 z" A# d. ~, q/ D1 l* L5 a 285.3600 11.6240 2.08004 c1 j4 h7 j4 J0 N; |1 t
295.3960 11.9280 1.9200
4 o, R$ k7 w- C' P, c 300.7920 15.1080 2.50006 W4 a* l( s4 T3 b8 f" k9 x
296.5760 15.4040 2.7200
/ w7 S1 {& Y/ u 291.5120 12.8200 2.2200
& V& e( ~2 u1 v- |5 h 289.1520 13.8640 1.9600- R& A' r& ^; S, m9 Z
288.3760 14.1440 1.9600! T4 N: E$ {; |4 _* I1 R9 o6 J
290.2400 14.4920 2.0400
2 c9 ]5 y* j6 Y7 } 294.0520 14.8720 2.2400
. v& V2 @1 H! }+ t5 k1 j7 v2 n# }6 T 297.4480 18.4120 3.0800' X6 W& N1 O$ f7 i, {
297.4160 17.7680 3.3600
: g0 m: s( b. U# A: _: y% h 294.9120 14.1920 2.7400 E9 K0 I) A; N
300.9440 14.5720 2.3800
- W- e$ I: Q, Q1 b4 z+ r% X- L 302.0360 14.5120 2.3600
f ]" @4 [$ a5 s6 B% o1 A7 ? 307.5560 14.4200 2.4200
h1 c! K) V5 }& V6 p 303.6000 14.6480 2.4000
- ?5 G4 S; z( }/ o" F7 h 306.8360 18.2720 3.0600" N6 U9 q4 m- X$ u
304.0480 17.6880 3.36006 z% n2 p; v* e
300.0320 14.1720 2.7200 ]( g% @# B9 \
301.1600 15.1240 2.1000# V- ?( ^1 k8 p6 |; C$ f7 D
307.6480 15.5280 2.1200* p6 C( j' A a
306.4080 16.0800 2.0400" e, z, _0 k; Q1 p' B4 b2 J
300.1880 12.7560 1.8000
( f7 ~% W" l) H9 v1 \% X$ R! g 296.6520 17.1200 2.46001 J2 u$ v5 H' H+ S$ y; E* r
290.6160 17.0080 2.8400
: I0 x* o; |' M$ v9 C2 }' w 287.3560 12.8280 2.26004 ~9 u4 }8 _$ I: R# q
290.6920 13.2520 2.0000
+ N- c, \ }' Z( c# a ^+ j7 | 298.2680 16.7680 2.2800; v( q6 `" z. d# M% l! _% R! o! l+ \
; D4 O1 ~$ {) L f$ D
>> B=regress(y,x)
& M% G& z* H' R; n& ?1 H0 _5 v" r6 m" |
B = k ?8 r7 F% r7 C
: L" V7 n( e6 P6 | 0.0587
# R: F8 g! l8 F! y7 I6 y. Q/ g% f -0.4411
! F8 P5 ~/ e9 c% [ C 1.5818
8 ~; n4 ]; p; t g
7 y' o7 \, W7 v9 Q0 `请教大神，怎么对系数进行约束（0~1之间）。) L; n- ^+ ]2 A) w
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发表于 2020-7-22 09:43
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