Is she training me or am I training her?

Dear George,
My human has started behaving very strangely. She has purrchased a stick with a large red bauble at the end of it. When with a natural curiosity I walk towards it, she says "beep beep" and gives me dried cat food. This happens twice a day and I am naturally quite happy about this extraordinary way of getting extra food.
But.... an awful thought struck me. Is she training me? I noticed a rather smug look on her face as I succeeded in winning some cat food by putting my face near the bauble. While I am quite happy to play this rather boring game, I am not at all happy to think that I am being trained.
I am not a dog. Cats are never trained. We train humans.
Yours anxiously
Toby.

Dear Toby,
Your dilemma is easily solved. She is not training you; you are training her. You have found this relatively easy way of getting more food, so JDI, Just Do It. Humans have mysterious behaviour patterns, and this red bauble on a stick is just part of their unbelievably ridiculous way of life. Don't despise it. Use it to your advantage.
This odd bit of human activity may be connected with something called clicker training. In your case there is no clicker but instead the word "Beep beep." We cats respond relatively well to clicker or beep activity because it is a transaction in which we win. We get the food: the human does not. The folly of the human is their thinking we are being trained by them.
Just to keep her on her toes, be intermittent in your compliance with this game. Occasionally, when you see the bauble walk out of the room. Or find something to scratch. Or have a good wash. Ignore it altogether. Intermittent response makes the human try harder and may well result in a bigger food reward. 
Oh yes, and sometimes look as if you are going to do it and then do nothing. It's a good way to tease your human.
Yours
George.