# supsmu

##### Friedman's SuperSmoother

Smooth the (x, y) values by Friedman's ‘super smoother’.

- Keywords
- smooth

##### Usage

`supsmu(x, y, wt =, span = "cv", periodic = FALSE, bass = 0, trace = FALSE)`

##### Arguments

- x
x values for smoothing

- y
y values for smoothing

- wt
case weights, by default all equal

- span
the fraction of the observations in the span of the running lines smoother, or

`"cv"`

to choose this by leave-one-out cross-validation.- periodic
if

`TRUE`

, the x values are assumed to be in`[0, 1]`

and of period 1.- bass
controls the smoothness of the fitted curve. Values of up to 10 indicate increasing smoothness.

- trace
logical, if true, prints one line of info “per spar”, notably useful for

`"cv"`

.

##### Details

`supsmu`

is a running lines smoother which chooses between three
spans for the lines. The running lines smoothers are symmetric, with
`k/2`

data points each side of the predicted point, and values of
`k`

as `0.5 * n`

, `0.2 * n`

and `0.05 * n`

, where
`n`

is the number of data points. If `span`

is specified,
a single smoother with span `span * n`

is used.

The best of the three smoothers is chosen by cross-validation for each prediction. The best spans are then smoothed by a running lines smoother and the final prediction chosen by linear interpolation.

The FORTRAN code says: “For small samples (`n < 40`

) or if
there are substantial serial correlations between observations close
in x-value, then a pre-specified fixed span smoother (```
span >
0
```

) should be used. Reasonable span values are 0.2 to 0.4.”

Cases with non-finite values of `x`

, `y`

or `wt`

are
dropped, with a warning.

##### Value

A list with components

the input values in increasing order with duplicates removed.

the corresponding y values on the fitted curve.

##### References

Friedman, J. H. (1984) SMART User's Guide. Laboratory for Computational Statistics, Stanford University Technical Report No.1.

Friedman, J. H. (1984) A variable span scatterplot smoother. Laboratory for Computational Statistics, Stanford University Technical Report No.5.

##### See Also

##### Examples

`library(stats)`

```
# NOT RUN {
require(graphics)
with(cars, {
plot(speed, dist)
lines(supsmu(speed, dist))
lines(supsmu(speed, dist, bass = 7), lty = 2)
})
# }
```

*Documentation reproduced from package stats, version 3.6.0, License: Part of R 3.6.0*