The smaller \ alpha is, the closer the regression function will conform to the data.
2.
\alpha is called the smoothing parameter because it controls the flexibility of the LOESS regression function.
3.
In order to transfer the regression function to another person, they would need the data set and software for LOESS calculations.
4.
In summary, to ensure efficient inference of the regression parameters and the regression function, the heteroscedasticity must be accounted for.
5.
Another disadvantage of LOESS is the fact that it does not produce a regression function that is easily represented by a mathematical formula.
6.
In all cases, the estimation target is a function of the independent variables called the "'regression function " '.
7.
Between 1981 and 1982 the first trial version of the product was developed based on the Time Domain and Auto-regression Function approach.
8.
Although the correlation can be reduced by using orthogonal polynomials, it is generally more informative to consider the fitted regression function as a whole.
9.
Point-wise or simultaneous confidence bands can then be used to provide a sense of the uncertainty in the estimate of the regression function.
10.
The Second issue is the amount of training data available relative to the complexity of the " true " function ( classifier or regression function ).