Well, if they mine your location they can say you were here here and here at these dates, but if you delete your location history you have plausible deniability.
"Oh No Mr. Office-chair, I didn't even own a phone at that time..."
I still don't have one o' them thar newfangled "smart" phones (or a cell that's linked to my name at all). I guess that means even I don't know where I am, or was, or will be, or whatever. But that's probably for the best.
I've wondered about the possibility of getting all my friends on board with the idea of each of us getting a new cell phone (preferably an old-school dumb phone), then on an agreed-upon schedule we put them all in a bag. We then each randomly pick one out of the bag and use it for the days, weeks or months until the next random phone-swap (thereby clusterfucking the data).
In any case, things like this are why the dwelling where l actually live and go to sleep at night and such is not the same place listed on my Driver's License, vehicle registration, utility bills, etc.. Incidentally, address-swapping is where I got the idea for phone-swapping. Took me almost 10 years to arrange it since it requires finding just the right person (e.g. someone who is sympathetic to these privacy issues, is absolutely trustworthy, and is never in possession of more than a personal use/Misdemeanor amount of drugs or other awkward items, if any).
I only did it with the other party's fully-informed consent; I made it clear that while small, there is always a chance that the door might get kicked in some fine pre-dawn morning. Paying my own mortgage while they lived in my house as well as part of their rent while I was living in theirs helped make that risk more acceptable to them (and was well-worth it to me!).
But be careful; it's very easy to mess such an arrangement up and unmask yourself, and there are a great many seemingly-insignificant details that I left out of this post that must be attended to for it to work as desired.