R中的分段线性和非线性回归

我有一个问题可能更像是一个统计查询，而不是一个与r直接相关的查询，但是可能是我只是错误地调用了一个r包，所以我将在这里发布这个问题。我有以下数据集：

x<-c(1e-08, 1.1e-08, 1.2e-08, 1.3e-08, 1.4e-08, 1.6e-08, 1.7e-08, 
1.9e-08, 2.1e-08, 2.3e-08, 2.6e-08, 2.8e-08, 3.1e-08, 3.5e-08, 
4.2e-08, 4.7e-08, 5.2e-08, 5.8e-08, 6.4e-08, 7.1e-08, 7.9e-08, 
8.8e-08, 9.8e-08, 1.1e-07, 1.23e-07, 1.38e-07, 1.55e-07, 1.76e-07, 
1.98e-07, 2.26e-07, 2.58e-07, 2.95e-07, 3.25e-07, 3.75e-07, 4.25e-07, 
4.75e-07, 5.4e-07, 6.15e-07, 6.75e-07, 7.5e-07, 9e-07, 1.15e-06, 
1.45e-06, 1.8e-06, 2.25e-06, 2.75e-06, 3.25e-06, 3.75e-06, 4.5e-06, 
5.75e-06, 7e-06, 8e-06, 9.25e-06, 1.125e-05, 1.375e-05, 1.625e-05, 
1.875e-05, 2.25e-05, 2.75e-05, 3.1e-05)

y2<-c(-0.169718017273307, 7.28508517630734, 71.6802510299446, 164.637259265704, 
322.02901173786, 522.719633360006, 631.977073772459, 792.321270345847, 
971.810607095548, 1132.27551798986, 1321.01923840546, 1445.33152600664, 
1568.14204073109, 1724.30089942149, 1866.79717333592, 1960.12465709003, 
2028.46548012508, 2103.16027631327, 2184.10965255236, 2297.53360080873, 
2406.98288043262, 2502.95194879366, 2565.31085776325, 2542.7485752473, 
2499.42610084412, 2257.31567571328, 2150.92120390084, 1998.13356362596, 
1990.25434682546, 2101.21333152526, 2211.08405955931, 1335.27559108724, 
381.326449703455, 430.9020598199, 291.370887491989, 219.580548355043, 
238.708972427248, 175.583544448326, 106.057481792519, 59.8876372379487, 
26.965143266819, 10.2965349811467, 5.07812046132922, 3.19125838983254, 
0.788251933518549, 1.67980552001939, 1.97695007279929, 0.770663673279958, 
0.209216903989619, 0.0117903221723813, 0.000974437796492681, 
0.000668823762763647, 0.000545308757270207, 0.000490042305650751, 
0.000468780182460397, 0.000322977916070751, 0.000195423690538495, 
0.000175847622407421, 0.000135771259866332, 9.15607623591363e-05)

---

x如果您对
分段
软件包不满意，可以使用mars算法尝试该软件包。但是在这里，我发现分段模型的结果是可以接受的。参见下面的R平方

lin.mod <- lm(y2~x)
segmented.mod <- segmented(lin.mod, seg.Z = ~x, psi=c(0.0000001,0.000001))
 summary(segmented.mod)

Meaningful coefficients of the linear terms:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -2.163e+02  1.143e+02  -1.893   0.0637 .  
x            4.743e+10  3.799e+09  12.485   <2e-16 ***
U1.x        -5.360e+10  3.824e+09 -14.017       NA    
U2.x         6.175e+09  4.414e+08  13.990       NA    

Residual standard error: 232.9 on 54 degrees of freedom
Multiple R-Squared: 0.9468,  Adjusted R-squared: 0.9419 

Convergence attained in 5 iterations with relative change 3.593324e-14 


要获取曲线图的系数，可以执行以下操作：

 intercept(segmented.mod)
$x
              Est.
intercept1 -216.30
intercept2 3061.00
intercept3   46.93

> slope(segmented.mod)
$x
             Est.   St.Err.  t value  CI(95%).l  CI(95%).u
slope1  4.743e+10 3.799e+09  12.4800  3.981e+10  5.504e+10
slope2 -6.177e+09 4.414e+08 -14.0000 -7.062e+09 -5.293e+09
slope3 -2.534e+06 5.396e+06  -0.4695 -1.335e+07  8.285e+06

真奇怪，我第一次没能让它工作。谢谢你的提示和关于获取系数等的额外信息。出于兴趣，你知道我如何将类似对数正态分布的东西拟合到这些数据中吗？这可能需要一个单独的问题，但如果有一个快速的解决办法，我想我会在这里添加它作为一个评论。再次感谢。
plot(segmented.mod)

 intercept(segmented.mod)
$x
              Est.
intercept1 -216.30
intercept2 3061.00
intercept3   46.93

> slope(segmented.mod)
$x
             Est.   St.Err.  t value  CI(95%).l  CI(95%).u
slope1  4.743e+10 3.799e+09  12.4800  3.981e+10  5.504e+10
slope2 -6.177e+09 4.414e+08 -14.0000 -7.062e+09 -5.293e+09
slope3 -2.534e+06 5.396e+06  -0.4695 -1.335e+07  8.285e+06