A good first order (that is much more commonly used) is to just, as you have already pointed out, use centered averages spanning N days of data.
edit: I'd also like to note that I'm neither pro nor anti legalization. I am definitely against false reporting, knee jerking, and lying to the public with statistics.
[0] - https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/...
> Colorado’s legalization of recreational cannabis sales and use resulted in a 0.7 deaths per month (b = −0.68; 95% confidence interval = −1.34, −0.03) reduction in opioid-related deaths.
Which if I understand right, they're pretty sure it did something, but that something might be so small that the value of reporting it is negligible.
Don't get me wrong, I smoke a lot of pot. I don't do so for health reasons. I just like smoking pot.
The default position I hold is skepticism. There have been some less than truthful claims of efficacy and curative properties.
I'm very much pro legalization. The medicinal benefits have no bearing on this opinion.
> The authors stress that their results are preliminary
And we should take this with a huge grain of salt, wait a few more years, and see what the data looks like then.
edit
Sorry, I'm asking about the "previous years similar trends".
[0]: https://img.washingtonpost.com/blogs/wonkblog/files/2017/10/...
1. More smoothed/averaged dataset (centered rolling average ~4 months?)
2. Explain the other extreme dips in this graph (2005, 2007, 2011)
3. Plot similar data from other states (with and without legal marijuana)
4. Investigate other causes (see sparrish's comment)