Are calorie calculators accurate for weight loss? Has anyone tried them and found them to be dead-on?

For instance the ones that tell you:
If you weigh “a” and you want to weigh “b” and your bmi is “c”, then you need to take in “x” calories per day in order to achieve your goal.

Also, if so, Is there a particular website’s calculator you trust?

Can I really lose weight by just cutting calories?

I used a weight loss calculator that said if I consumed 1200 – 1300 cal per day I would lose 2 pds a week. So I can eat whatever I want, as long as it doesn’t go over those calories? Like today I only have on meal, but it consists of a stromboli and a Mountain Dew.

Why am I losing more weight than the weight loss calculators predicted?

Before I came up with my weight loss plan, I utilized about 5-6 different weight loss calculators online, all of which asked me for my sex, age, height, weight, activity level, and the amount of calories per day that I planned to consume. I put everything in, and said that I would be eating about 1000 calories per day. All of the calculators told me that I would lose about a pound a week. Even the other types of calculators that asked for your weight goal and time told me that I would have to eat about 1000 calories per day to reach my weight loss goal.

So why am I losing 4 pounds a week on this diet plan? I’m not being more physically active.