I have consulted this question on the basis of prediction intervals for loess (How to calculate prediction intervals for LOESS?). However, I am unaware of whether it is proper or possible to use prediction intervals for forecasts made from loess? What problems could come from doing so, if any? How would I do so in R?
Currently I have attempted to calculate forecasts by using a for loop that predicts the values for a certain number of subsequent days, but I am unaware of how to produce prediction intervals for the same set of forecasts. I would hope to adjust the forecast so that my time-series and prediction look similar to this: