How Predint works?

I was working on a fit for that I had to generate the confidence bounds.

I used predint function for this purpose.

This is a theta VS time plot. I will be attaching the correspoding data (those in dots) for that.The function that I want to fit with the data is for this plot Take x=1.

Now to obtain the upper and lower bounds I simply used predint ,but now I have to show how I got the bounds mathematically.

So I wanted to know how predint works and what method does it follows to generate curves for upper and lower bound for any confidence.

Thanks.

[Adam Danz]

This question is a bit outside of the scope of the forum since it really isn't about Matlab. If you look up "prediction interval" in most stats textbooks you'll see how prediction intervals are computed. You can also search the internet for "Difference between confidence interval and prediction interval". They are not the same.

https://online.stat.psu.edu/stat462/node/128/