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Scatter Plot Smoothing

Syntax

lowess(x, y, f=2/3, iter=3, delta=.01*diff(range(x)))

Arguments

x,y vectors giving the coordinates of the points in the scatter plot. Alternatively a single plotting structure can be specified.
f the smoother span. This gives the proportion of points in the plot which influence the smooth at each value. Larger values give more smoothness.
iter the number of robustifying iterations which should be performed. Using smaller values of iter will make lowess run faster.
delta values of x which lie within delta of each other replaced by a single value in the output from lowess.

Description

This function performs the computations for the {\em LOWESS} smoother (see the reference below). lowess returns a list containing components x and y which give the coordinates of the smooth. The smooth should be added to a plot of the original points with the function lines.

References

Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. J. Amer. Statist. Assoc. 74, 829-836.

Cleveland, W. S. (1981). LOWESS: A program for smoothing scatterplots by robust locally weighted regression. The American Statistician, 35, 54.

Examples

plot(cars) lines(lowess(cars))