Does Premium gas make any difference to a car that can take regular?

I have a 2017 Rogue and a few times I have put premium gas in my car from Costco. It takes 87 Regular but I put in 91. I'm not sure if its a placebo affect cause I noticed that the acceleration is faster and my mileage is better. My mechanic says it slightly increases the torque because its burning a higher... show more I have a 2017 Rogue and a few times I have put premium gas in my car from Costco. It takes 87 Regular but I put in 91.

I'm not sure if its a placebo affect cause I noticed that the acceleration is faster and my mileage is better.

My mechanic says it slightly increases the torque because its burning a higher octane or something.

Does it benefit the car itself like cleaning the fuel injectors and such? Like what would happen if you put 87 in a BMW?
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