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Question

What is the best model for this data?
time series

Answer

"Best" depends on the task. I think your task is one of the examples below.

Prediction for the close future

The data is continuos. The neighbor is the similar value. And long term range is wider than short term range. So easy prediction is that to use the value of the neighbor.
time series

The next idea is using the peridiocity.
time series

time series

Prediction for the far future

Without considering periodicity, The data has two terms, constant and increasing.

If we think the increasing does not stop, we can make the model. Single regression using only the incrasing term data is the easiest model.

Get the best fit model to the data

Conbination with ReLU function may be good.
time series



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