Studentized residuals

Okay kiddo, we are going to learn about something called studentized residuals. You know how when you do your homework and your teacher checks it, they might tell you if you made a mistake? That's kind of how it works!

But instead of checking your homework, it's like checking a big group of numbers. Sometimes, people use math to figure out patterns or relationships between lots of different numbers. They might call this "statistics" (like how your mom or dad might say "I need to check the statistics on how much money we're spending on groceries.")

So, let's say a group of people are trying to look for a pattern between how much money they spend at the store and how much time they spend there. They might write down all of the numbers and use a math equation to figure out if there is a connection. But sometimes, they might have one number that seems really different from all the others. We call that an "outlier."

When we see an outlier, it might mess up the pattern we were trying to find. So, to help fix this, we use something called studentized residual. This is a way to measure how different a number is from the others.

It's kind of like if your mom or dad had a bunch of people visiting them, and some of them are really tall and some of them are really short. If we lined everyone up from shortest to tallest, we might find that there's one person who is way taller than everyone else - this person would be the "outlier." We might want to move that person to the end of the line or put them in a special group so they don't mess up our data. That's kind of what studentized residuals does - it helps us figure out which numbers might be the "outliers" and how different they are from the other numbers.

I hope that helps, kiddo! Remember, studentized residuals helps us find the "outliers" so we can make our data make more sense.