Dear All,

I have been trying to find an inflection point from a nonparametric model, for 
instance on  a series of Economics, Financial, Environmental data, which was 
fitted via sm.regression package, but have difficulty to find the derivative of 
the model. The following are the data and the codes to fit such a nonparametric 
model.

#######################################################
library(sm)
x <- c(6.3,  6.6,  7.0,  8.0,  8.8,  9.8, 12.0, 14.2, 15.5, 15.7, 15.8) 
y <- rev(seq(1,51,by=5))
sm.regression(x,y,method = "cv", col = "red")
#######################################################


Could someone please advice me an appropriate way to determine such an 
inflection point from the nonparametric model?

Thank you
Fir 





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