Linear predictive analysis is like trying to guess what someone is going to say before they say it.
Imagine you're talking to your friend and they pause mid-sentence. You might be able to guess what they were going to say next based on what they've already said. Linear predictive analysis is like that, but with math.
Instead of guessing based on what we've heard, we look at all the words they've said so far and try to figure out what word they're most likely to say next.
It's called "linear" because we use a straight line to make our prediction. Imagine we have a graph with all the words your friend has said so far plotted along the x-axis (that's the horizontal one). We then draw a straight line through all those points. That line represents what we think your friend will say next.
Of course, it's not always that simple. If your friend suddenly starts talking about something completely different, our prediction might not be very accurate. But if they're just continuing a conversation, linear predictive analysis can help us guess what they'll say next.