Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 abbr. locally weighted robust scatterplot smoothing
Etymologies
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Examples

Lowess regression was performed using the "lowess" function with a smoother span of 0.2

Even if you're just adding the trend as a smoother (and a moving average would almost always be a better way to smooth time series data, while a lowess would be the more normal way to smooth a scatterplot), selecting one by the rsquared criterion (or any other residual variance criterion) wouldn't necessarily make sense.
Overqualified?, Arnold Kling  EconLog  Library of Economics and Liberty

Steve M., loess and lowess both treat end conditions the same way.

I fitted it with lowess using f=1/3, a more usual smooth, just to see what it looked like top panel.

He could have just put a spline or lowess and smoothed without padding as well.

The statistical package R is used for the correction, and specifically the scatter plot smoothing function lowess using default parameters.

The jagged line is annual averages, the smooth line is a lowess smooth.

We can also look at the monthly values for the gridwide average, together with a lowess smooth (in red) and 5year averages (in blue):

ArrayNorm features a variety of normalization methods, such as 'global median', 'dyeswappairs normalization', 'lowess fitting' and 'normalization using controlspots'.

Our expectation was that this repeated analysis would have reduced power because the proportionally large number of C1 strains that exhibit high variance would bias the lowess regression to decrease the magnitude of residuals.
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