# tslm

##### Fit a linear model with time series components

`tslm`

is used to fit linear models to time series including trend and
seasonality components.

- Keywords
- stats

##### Usage

`tslm(formula, data, subset, lambda = NULL, biasadj = FALSE, ...)`

##### Arguments

- formula
an object of class "formula" (or one that can be coerced to that class): a symbolic description of the model to be fitted.

- data
an optional data frame, list or environment (or object coercible by as.data.frame to a data frame) containing the variables in the model. If not found in data, the variables are taken from environment(formula), typically the environment from which lm is called.

- subset
an optional subset containing rows of data to keep. For best results, pass a logical vector of rows to keep. Also supports

`subset()`

functions.- lambda
Box-Cox transformation parameter. If

`lambda="auto"`

, then a transformation is automatically selected using`BoxCox.lambda`

. The transformation is ignored if NULL. Otherwise, data transformed before model is estimated.- biasadj
Use adjusted back-transformed mean for Box-Cox transformations. If transformed data is used to produce forecasts and fitted values, a regular back transformation will result in median forecasts. If biasadj is TRUE, an adjustment will be made to produce mean forecasts and fitted values.

- ...
Other arguments passed to

`lm()`

##### Details

`tslm`

is largely a wrapper for `lm()`

except that
it allows variables "trend" and "season" which are created on the fly from
the time series characteristics of the data. The variable "trend" is a
simple time trend and "season" is a factor indicating the season (e.g., the
month or the quarter depending on the frequency of the data).

##### Value

Returns an object of class "lm".

##### See Also

##### Examples

```
# NOT RUN {
y <- ts(rnorm(120,0,3) + 1:120 + 20*sin(2*pi*(1:120)/12), frequency=12)
fit <- tslm(y ~ trend + season)
plot(forecast(fit, h=20))
# }
```

*Documentation reproduced from package forecast, version 8.3, License: GPL-3*