Considering this, why do cats raise their backs when you pet them?
By raising their backsides while being petted, cats exert slight pressure to increase the tactile pleasure from petting. Some cats may appreciate—and thus try to get the most of—petting, light fingertip massage, or brushing on their lower backs since that's a difficult area to reach when grooming.
Beside above, what your cat is trying to tell you? You and your cat might speak different languages, but you can still communicate with each other. Important clues such as the look in your cat's eyes, the tone of their voice, the position of their ears and the motion of their tail can reveal their feelings and intentions.
Also question is, what does it mean when your cat stares at you?
Cats do this for several reasons, such as keeping an eye out for predators. Take heart, though: However much a cat considers you a practical source of food, she's probably also staring at you because you're the center of her universe and she likes to see what you are up to — food related or otherwise.
Do cats like it when you meow back?
Whether your cat is an extremely vocal meower or more on the quiet side, those plaintive cries are aimed at humans. So if you meow back to her, she's not necessarily going to see it as you trying to speak her own language, because strangely enough, cats just aren't conditioned to respond to meows!