Linear prediction is a way of trying to figure out what might happen next based on what you already know. Let's say you were playing a guessing game with a friend where you had to guess what number they were thinking of. If you knew that your friend is always thinking of numbers that are one more than the number they just said, you could use linear prediction to guess what number they are thinking of next.
In math, linear prediction is kind of like that guessing game. It's a way of trying to guess what will happen next based on patterns you've seen in the past. Let's say you were looking at a graph of how fast a car was driving over time. If the graph showed that the car was getting faster and faster at a steady rate, you could use linear prediction to guess how fast the car will be going in the future.
Linear prediction works best when there is a clear pattern or trend in the data you're looking at. It's not always perfect, though - sometimes unexpected things happen that make the pattern break down. But by using linear prediction, you can get a pretty good idea of what might happen next based on what you already know.