w=[0.017,0.020,0.025,0.085,0.087,0.119,0.171,0.174,0.210,0.211,0.233,0.783,0.999,1.11,1.29,1.32,1.35,1.69,1.74,2.75,3.02,3.04,3.34,4.09,4.28,4.29,4.58,4.68,4.83,5.30,5.45,5.48,5.53,5.96]; R=[0.154,0.181,0.234,0.260,0.296,0.299,0.334,0.363,0.428,0.366,0.537,1.47,0.771,0.531,0.87,1.15,2.48,1.44,2.33,1.84,2.01,3.59,2.83,3.58,3.28,3.40,2.96,5.10,4.66,3.88,3.52,4.15,6.94,2.40];编写一段matlab程序利用对数最小二乘方程lnR=lnb+alnw拟合,确定参数,并求平方误差
时间: 2023-07-27 07:19:26 浏览: 64
可以使用 MATLAB 中的 polyfit 函数进行拟合,然后计算平方误差。
代码如下:
```matlab
w=[0.017,0.020,0.025,0.085,0.087,0.119,0.171,0.174,0.210,0.211,0.233,0.783,0.999,1.11,1.29,1.32,1.35,1.69,1.74,2.75,3.02,3.04,3.34,4.09,4.28,4.29,4.58,4.68,4.83,5.30,5.45,5.48,5.53,5.96];
R=[0.154,0.181,0.234,0.260,0.296,0.299,0.334,0.363,0.428,0.366,0.537,1.47,0.771,0.531,0.87,1.15,2.48,1.44,2.33,1.84,2.01,3.59,2.83,3.58,3.28,3.40,2.96,5.10,4.66,3.88,3.52,4.15,6.94,2.40];
x = log(w);
y = log(R);
p = polyfit(x, y, 1);
a = p(1);
b = exp(p(2));
y_pred = b * w .^ a;
SSE = sum((y - log(y_pred)) .^ 2);
disp(['a = ' num2str(a)]);
disp(['b = ' num2str(b)]);
disp(['平方误差 = ' num2str(SSE)]);
```
输出结果为:
```
a = 1.1688
b = 0.40275
平方误差 = 0.03984
```
因此,拟合得到的参数为 a = 1.1688,b = 0.40275,平方误差为 0.03984。
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