# CoefficientFunction


Estimated coefficient function beta(t) for a functional term.


Usage

``` python
CoefficientFunction(
    grid,
    values,
    se=None,
    lower=None,
    upper=None,
    term_name="",
)
```


Returned by [FunctionalGAM.coefficient_function()](FunctionalGAM.md#whittaker.FunctionalGAM.coefficient_function). Represents the fitted weight that each point `t` along a functional covariate's domain contributes to the scalar response, together with pointwise confidence bands derived from the model's coefficient covariance.


## Attributes


`grid: NDArray`  
Evaluation grid on the functional domain, shape `(T,)`.

`values: NDArray`  
Estimated `beta(t)` values at grid points, shape `(T,)`.

`se: NDArray | None`  
Standard errors of `beta(t)`, shape `(T,)`, or `None`.

`lower: NDArray | None`  
Lower confidence bound, `values - z * se`, shape `(T,)`, or `None`.

`upper: NDArray | None`  
Upper confidence bound, `values + z * se`, shape `(T,)`, or `None`.

`term_name: str`  
Name of the functional term this coefficient function belongs to.