matlab多元回归

建立多个(.m)文件，有一个主函数，调用其他函数即可。如果想直接使用的话，要注意代码里面的路径，每个人运行的路径不一样。数据我就不上传了，大家想用，用自己的数据跑一下吧，注意矩阵的行和列，很多新手跑的时候认为跑不出来以为代码有问题，其实往往不是的。有什么好的想法大家可以一起研究一下。

clc
clear all;
filename = 'E:\\研一\\智能传感器\\多元回归\\多元回归\\数据.xlsx';
[data,txt,raw] = xlsread(filename);%读取全部内容
filename = 'E:\\研一\\智能传感器\\多元回归\\多元回归\\融合数据处理.xlsx';
[data_chuli,txt,raw] = xlsread(filename);%读取全部内容
[A,H,P] = get_A(data);%计算出系数矩阵的6个数据
[P_ronghe,P,Wu_P] = get_P(A,H,P);
data_ronghe = get_data_ronghe(P_ronghe,P,Wu_P);
[B_K,data_fit] = get_B_K(data);
[ronghe_shuju_xainxing] = get_shujuronghe(data_chuli);

以下是实现某一个功能的函数，可以放入一个（.m）文件也可以放入单独的文件

function [ronghe_shuju_xainxing] = get_shujuronghe(data_chuli)
ronghe_shuju_xainxing = zeros(3,6,'double');%表5-4for i = 1:1:6      ronghe_shuju_xainxing(1,i) = data_chuli((i*3)-1,9);ronghe_shuju_xainxing(2,i) = data_chuli(i*3,9);ronghe_shuju_xainxing(3,i) = data_chuli(i*3,9) - data_chuli((i*3)-1,9);endcsvwrite('E:\研一\智能传感器\多元回归\多元回归\ronghe_shuju_xainxing.csv',ronghe_shuju_xainxing);
end

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [P_ronghe,P,Wu_P] = get_P(A,H,P)%求P_ronghe,P,Wu_P矩阵
P_ronghe = zeros(1,36);%定义空间
Wu_P = zeros(1,36);%定义空间for j = 1:36for i = 1:6 P_ronghe(1,j) = P_ronghe(1,j) + A(1,i)*H(i,j);endWu_P(1,j) = P_ronghe(1,j) - P(1,j);end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function  data_ronghe = get_data_ronghe(P_ronghe,P,Wu_P)
data_ronghe = zeros(18,6);%与data数据进行对比
P = reshape(P,6,6);               P = P';%P为6*6;
P_ronghe = reshape(P_ronghe,6,6); P_ronghe = P_ronghe';%P_ronghe为6*6
Wu_P = reshape(Wu_P,6,6);         Wu_P = Wu_P';%Wu_P为6*6for i = 1:6for j = 1:6data_ronghe(1:3:16,j) = P(1:1:6,j); data_ronghe(2:3:17,j) = P_ronghe(1:1:6,j);data_ronghe(3:3:18,j) = Wu_P(1:1:6,j);endend
csvwrite('E:\研一\智能传感器\多元回归\多元回归\data_ronghe.csv',data_ronghe);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%最小二乘法,以21.5度为静态,建立最小二乘法模型
function  [B_K,data_fit] = get_B_K(data)%求P矩阵
B_K = zeros(1,2,'double');
data_fit = zeros(3,6);
sun_x = 0;  sun_y = 0;  sun_xy = 0; sun_x_squ = 0;
Num = 6;for i = 1:1:Numsun_x = sun_x + data(2,i+1);sun_y = sun_y + data(1,i+1);sun_xy = sun_xy + data(2,i+1)*data(1,i+1);sun_x_squ = sun_x_squ  + data(2,i+1)^2;endB_K(1,1) = (sun_x_squ*sun_y-sun_x*sun_xy)/(Num*sun_x_squ-sun_x*sun_x);B_K(1,2) = (Num*sun_xy-sun_x*sun_y)/(Num*sun_x_squ-sun_x^2);for i = 1:1:Numdata_fit(1,i) = data(1,i+1);data_fit(2,i) = (B_K(1,1)+B_K(1,2)*data(2,i+1));data_fit(3,i) = (B_K(1,1)+B_K(1,2)*data(2,i+1))-data(1,i+1);end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [A,H,P]=get_A(data)%求A,H,P的系数矩阵
Up = data(2:2:12,2:7);Up = Up(:)';%Up为1行36列的矩阵
Ut = data(3:2:13,2:7);Ut = Ut(:)';%Ut为1行36列的矩阵
%P为1*36的矩阵
P = [zeros(1,6,'double'),ones(1,6,'double'),2*ones(1,6,'double'),3*ones(1,6,'double'),4*ones(1,6,'double'),5*ones(1,6,'double')];
H = zeros(6,36);%H为6*36的矩阵
for i=1:1:36H(1,i) = 1;H(2,i) = Up(1,i);H(3,i) = Ut(1,i);H(4,i) = Up(1,i)^2;H(5,i) = Up(1,i)*Ut(1,i);H(6,i) = Ut(1,i)^2;
end
A = zeros(1,6,'double');% A矩阵为1*6
A = P*H'*inv(H*H');%求A的系数矩阵
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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