Hi, welcome back.

And, in the last segment.

And today we're going to do multiple regression analysis in R.

All, simultaneously in one analysis.

So this is lecture nine.

Okay. That wraps up this segment.

But for the sake of time, I didn't wanna go through that here.

You can do this by hand if you had to, if you lost all electricity and there, there's no internet and no R software.

In the last few lectures we have covered in detail multiple regression analysis.

Hi, welcome back to Statistics one.

Once you have those basic skills down.

So the main topic of this segment is just again estimation of regression coefficients in multiple regression.

And the reason we did that is so that we could see exactly how the regression coefficients are estimated in a multiple regression.

I've organized this lecture into two segments.

Hi, welcome back. We're in Lecture ten, Segment two.

We're up to lecture eight, almost have way through the course.

Then, we can apply that to the multiple regression example.

Hi, welcome back to Statistics one. We're up to lecture nine.

The important concepts to take away from this segment are, again, understanding the equation and the components of the equation, how to interpret the, both the unstandardized and the standarized regression coefficients.

In the last lecture, we did simple regression, which is just one predictor in the regression equations.

And, as you can see, I could extend this out to K predictors.

So in the second segment it's gonna be standardized and we'll do model comparisons.

We're up to lecture seven now, and we're ready to jump into regression, and today we'll just do simple regression, and then in

Tropic of Cancer

Tropic of Capricorn

KHTML Regression Testing Utility

lectures where I'd like you to follow along in R, and try and write the script that I'm building as I walk through the lecture.

Because the next assignment will be just like this.

And, the active year slope got steeper, positively.

Regression testing output

Regression Testing Status

GUI for the khtml regression tester

I'm, I'm jumping right into the scatter plots here in this script because there's a lot to do in this script to get multiple regression analysis's, to get the output.

Either way it's up to you.

Now let's look at the simple regression with active years in the equation.

Hi, welcome back to statistics one. The topic for today's lecture is mediation analysis.

But in this model, by putting them together, we're explaining 16.6 percent of the variants.

So again, that's one of the reasons why I like this example.

We'll come back to that again in multiple regression, and in lecture nine in R. And then, the importance of this distinction between unstandardi zed and standardized regression coefficients.

Rather than one model after the null.

Regression tester for kate

Regression tester for khtml

Another thing I did here is I standardized everything, just to make this a little easier on us.

In this particular example, it

So just bear with me and get through this one segment and you'll have a, a deeper understanding of multiple regression in general.