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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)5 c+ ^: _- l6 P4 W! u) H7 `# F. x
下面是我的数据和过程+ a+ a1 _/ K, Q% F! W) r
A=xlsread('G:\提油率测算20200704.xlsx',4,'H156:K185')! N: @/ h, D8 h n
; O6 ?/ v% v- V
A =
& S. q# {4 c& h! v5 A, P k& M) _- t! J* C1 I6 l
15.1200 272.5640 11.5880 1.90009 L& Z0 t7 o$ b3 s: e5 w7 n# i
15.4800 277.3200 11.2400 1.82005 l& P5 E- Q3 ~& t8 h7 N D% Y/ `
15.3360 285.3600 11.6240 2.0800( O; Y- [ f' C h1 C) z
12.8160 295.3960 11.9280 1.9200' y% y/ W+ B+ a' ]5 @
17.0000 300.7920 15.1080 2.5000
( b& g' i/ e) T% p/ T% W 16.2800 296.5760 15.4040 2.7200% |" e- \* ]/ O* j4 R0 q
15.5600 291.5120 12.8200 2.2200
& |+ W4 @5 h* T 15.3440 289.1520 13.8640 1.9600% y0 |8 r% ~ m: e" f
17.3600 288.3760 14.1440 1.9600
) n% J1 ~4 i. }) a' j& c7 R 14.7600 290.2400 14.4920 2.0400
# h8 P7 Y1 R$ P0 G# Q F8 c9 X 15.6240 294.0520 14.8720 2.2400
+ z, F# S; L7 ]( a8 Y1 ^- y: S: h 14.5440 297.4480 18.4120 3.0800
2 X9 z) m: W# K) `: ^- Q5 V' X 16.4880 297.4160 17.7680 3.3600
: H% p, b, _# T/ G 16.0560 294.9120 14.1920 2.7400; T# g- Y$ W# P! R- P8 s* v
13.6800 300.9440 14.5720 2.3800
- I- @+ Q; f' h. f( w* [ 13.3920 302.0360 14.5120 2.3600$ N' o) H9 r L/ @6 T6 }' Y5 [- G
15.4800 307.5560 14.4200 2.4200
A" `. Q- N2 S( M+ h 12.8880 303.6000 14.6480 2.4000
, V/ Q+ w3 U3 g; H- I- ~% `4 y7 L( l 12.8480 306.8360 18.2720 3.0600
) |+ a5 E7 S$ W 14.3600 304.0480 17.6880 3.36001 [8 i2 E, N0 n4 N; T7 j( T. K
13.7840 300.0320 14.1720 2.72006 Q' ~: R, T$ z. O
12.7760 301.1600 15.1240 2.1000
8 ?- v1 ?9 v+ \- E 12.9200 307.6480 15.5280 2.1200
. [' ^- G, _5 j6 n$ C2 t7 b$ c 12.8880 306.4080 16.0800 2.0400
; X; d% L8 q" m, V9 ~0 F5 z 14.4000 300.1880 12.7560 1.8000" Z6 `$ V+ Z/ Z1 F4 a
14.1120 296.6520 17.1200 2.4600 |$ B9 t" S$ B z3 H, @! V2 M
14.4720 290.6160 17.0080 2.8400: H( d# H, c5 Z8 n" O% e! S/ P
15.1200 287.3560 12.8280 2.26007 O7 l8 ^4 @6 N& h; ?* _5 p
14.6880 290.6920 13.2520 2.0000
& Q; B8 i9 n' z8 \3 G5 s- q0 o0 j7 l 13.6800 298.2680 16.7680 2.2800% d6 d |9 K/ E) D5 M# u
%第一列为因变量,后面三列为自变量3 ^6 ^) x; _3 d% ]2 j# N. Y1 F
>> y=A(:,1),x=A(:,2:4)
) f' V' k$ Y5 ] G- x& \2 U7 _3 v! S1 {: n* q. Q, A2 @/ P
y =
: W! ?0 U+ ^# _& d9 f. a, _& o+ s+ o! O
3 Q$ T* K6 t/ k' T0 H9 Q 15.12005 f2 z: i% ?& s4 [ O
15.4800
9 k# k: C# w! B$ ]4 i7 r& E 15.3360
% X$ ?, s! Q2 H8 j) N+ q 12.8160+ q7 v8 @( G; w$ ^& s1 E6 x( f
17.0000& E9 i6 m. X. p/ ?0 e3 \$ m3 Z
16.28002 I. [% S9 w; g: c% D$ |
15.5600# J" G) [; P/ @7 H* v) S
15.3440" D0 m) o% r( P \" w6 D3 T2 |
17.36000 a; C/ N/ R" W$ {
14.7600% s# I2 S* W" K, r" Q
15.6240
9 F5 r9 N# ]. B4 T9 b, F4 n 14.54408 H) g* p& n" }$ {% V
16.4880
" } N' w$ k$ J 16.0560) P; m, H& `( J; p' ]' ~
13.6800
4 [' s5 e: ]5 @' | 13.39204 E3 c. _. S8 T' n
15.4800
% Q! j9 t6 J" M7 q 12.8880; M, e8 u# k( u6 A+ C+ [& V L; j
12.8480
: y) Y" ]# t0 ^7 Q 14.3600
- E- g: D$ m" j: e/ ]: A1 ^" W 13.7840
, k7 I! y @5 K' a/ c1 s 12.7760
6 h8 d3 H# R3 N) G9 f 12.9200
; |9 C& c# O! {9 w% c$ E/ T 12.8880: U4 R+ n8 O' Y% k, {" P8 Y
14.4000
" \. x: |7 b0 v( Z 14.11208 ]6 E m' Y+ i) t5 H( n" e) C
14.4720: F) h3 r+ L7 X {) l/ b
15.1200
; u6 O- x" Z* b4 E' P8 I 14.6880
9 e. ~- s: G, C 13.6800
0 }" S6 v! k5 o5 [
+ V! {8 b* k2 q$ Z4 N$ C+ d- @& q
x =
5 ]1 Z# P; a4 {
4 A6 B& b3 C2 |) L5 A' f 272.5640 11.5880 1.9000* y8 X& k/ S' {7 k& e6 T
277.3200 11.2400 1.8200
" D" I3 p+ d* R. }; N: Q9 A+ @ 285.3600 11.6240 2.08002 |: }7 P# H! {6 @. O; R' A( |+ w
295.3960 11.9280 1.92000 A$ z. Y! B4 k( q- z3 l# r% m7 z
300.7920 15.1080 2.5000
1 g1 A) l0 ]( n6 c# l4 E- |3 G% y 296.5760 15.4040 2.7200 t9 u+ c& ~ z R( O5 O1 @* o
291.5120 12.8200 2.2200
4 {! k! h0 o; Y& r 289.1520 13.8640 1.9600 G3 h' K/ l- {' C; [
288.3760 14.1440 1.9600
7 a- j+ w! `+ L 290.2400 14.4920 2.0400
4 D1 t; E6 H+ H% F, w 294.0520 14.8720 2.2400
) K+ T- L! @8 T6 L6 B% O# P, M! ] 297.4480 18.4120 3.0800
! E2 l. j; I9 q1 O; L' x( Z 297.4160 17.7680 3.3600
4 T7 Y4 r% I5 j 294.9120 14.1920 2.7400* l( f6 ^6 l5 d" @- c- Y S
300.9440 14.5720 2.3800
0 V; L3 \' n9 @5 S. \2 ]( Q' l 302.0360 14.5120 2.3600
- k, a+ ]. e1 Y2 [) { 307.5560 14.4200 2.4200) ?4 F2 ~2 \" ?3 D
303.6000 14.6480 2.4000" `( \( Y! Y% E
306.8360 18.2720 3.0600
2 Y: P2 W5 M& @3 f 304.0480 17.6880 3.3600
0 D. ]: ^( L9 q9 k0 ?! v7 ~8 W 300.0320 14.1720 2.7200
? [4 J' R5 q/ x: Z g 301.1600 15.1240 2.10008 G( k( g6 g K9 }, F
307.6480 15.5280 2.1200
& V/ u7 c7 G: I8 J& }# A/ l 306.4080 16.0800 2.04001 ~: T4 E. [. ?6 Z
300.1880 12.7560 1.8000
, B* C7 o: I. |' Q0 r 296.6520 17.1200 2.4600
2 x; w3 \, {% N 290.6160 17.0080 2.8400
( U O0 Z% ~2 Y8 o, h 287.3560 12.8280 2.2600
$ S# [/ b) O: K! S) H5 J 290.6920 13.2520 2.0000& b' ?8 s* @4 G5 D6 X' o6 t
298.2680 16.7680 2.2800
~8 j" R: J7 u( r- T3 w, l) U- r( L7 d
>> B=regress(y,x)- b, N! j* l! X% C" H/ Z) u
8 ]1 m# m6 H4 _4 _* CB =
0 ~5 L% z+ E& w3 F9 m
1 S7 r" p8 D5 e' `& X7 D; [ 0.0587+ ]+ I( e; m" E
-0.4411
( i8 c% v8 {$ N' [6 g U4 y$ d 1.5818
+ L* Y- I2 R: R* n( o; d4 Q% R
; }& X7 N9 ^0 L! P" z请教大神,怎么对系数进行约束(0~1之间)。8 J' l- U$ u4 ]" W0 J
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