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function main
clc
clear
d=[1 75 18 4.5 0.9295;
1 80 16 4.5 0.9562;
1 85 14 4.5 0.9669;
1 90 12 4.5 0.9028;
1 75 16 5.0 0.9412;
1 80 18 5.0 0.9712;
1 85 12 5.0 0.9519;
1 90 14 5.0 0.9081;
1 75 14 5.5 0.9434;
1 80 12 5.5 0.9455;
1 85 18 5.5 0.9509;
1 90 16 5.5 0.9241;
1 75 12 6.0 0.9541;
1 80 14 6.0 0.9402;
1 85 16 6.0 0.9348;
1 90 18 6.0 0.8974;];
x=d(:,1:4);y=d(:,5);
beta=[0.5 0.02 -0.00001 0.001 -0.00001 0.05 -0.02];
yy=user_function(beta,x);
[beta_fit,residual]=nlinfit(x,y,@user_function,beta)  
r=corrcoef(y,yy)   


function yy=user_function(beta,x)
b0=beta(1);
b1=beta(2);
b2=beta(3);
b3=beta(4);
b4=beta(5);
b5=beta(6);
b6=beta(7);
x0=x(:,1);
x1=x(:,2);
x2=x(:,3);
x3=x(:,4);
yy=b0*x0+b1*x1+b2*x1.^2+b3*x2+b4*x2.^2+b5*x3+b6*x3.^2;
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