请帮忙编写一个matlab计算程序,拟合二元一次函数z=f(x,y)

2024-12-01 17:02:21
推荐回答(2个)
回答1:

clear

clc


x=[50 100 150 200 250 300 350 400 450  500];

y=[40 80 120 160 200];

z=[0.05 0.05 0.05 0.05 0.05

0.25 0.15 0.11 0.05 0.05

0.5 0.2 0.2 0.04 0.04

1.6 1 0.5 0.11 0.07

2.5 2.4 1.14 0.34 0.12

3.2 2.7 1.54 0.7 0.21

3.4 3.1 2.1 1.15 0.3

3.75 3.5 2.56 1.4 0.6

4 3.8 2.95 2 0.9

4.2 4 3.2 2.2 1.1];

[y,x]=meshgrid(y,x);

p=[x(:),y(:),ones(numel(z),1)]\z(:)%p=[a;b;c]

plot3(x(:),y(:),z(:),'ro');

hold on;grid on

mesh(x,y,p(1)*x+p(2)*y+p(3))


回答2:

clear;
clc;
x = [50 100 150 200 250 300 350 400 450 500];
y = [40 80 120 160 200];
[myx,myy] = meshgrid(x,y);
z = [0.05 0.05 0.05 0.05 0.05
0.25 0.15 0.11 0.05 0.05
0.5 0.2 0.2 0.04 0.04
1.6 1 0.5 0.11 0.07
2.5 2.4 1.14 0.34 0.12
3.2 2.7 1.54 0.7 0.21
3.4 3.1 2.1 1.15 0.3
3.75 3.5 2.56 1.4 0.6
4 3.8 2.95 2 0.9
4.2 4 3.2 2.2 1.1];
cxd_1 = reshape(myx',50,1);
cxd_2 = reshape(myy',50,1);
cxd_3 = ones(50,1);
cxd_X = [cxd_1 cxd_2 cxd_3];
cxd_Y = z(:);
myb = regress(cxd_Y,cxd_X);
a = myb(1)
b = myb(2)
c = myb(3)

结果:
a =
0.0072

b =
-0.0132

c =
1.0057

copyright (c) by cxd1301