So again, here's the simple regression equation.

When you, do the simple regression equations.

For now, simple regression, it's real easy.

So, here's a simple regression equation, or, a simple path model.

line intercept plus slope, and that's simple regression.

So we have our simple regression equation. Here.

And we know from just simple regression, a few

So remember in simple regression, the standardized regression coefficient was the same as the correlation coefficient.

So, in the last lecture we talked about simple regression.

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

Before, when we just did simple regression, that was our equation.

In the first two simple regression models, here are the results.

So again, minimize sums of squares residuals, just like in simple regression.

So first what we're gonna do is just. Run a simple regression.

So, that whole regression equation is represented in this simple path model.

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

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

So, simple logistic regression together with adding in maybe the quadratic or the cubic features

linear regression.

logistic regression.

logistic regression.

We're still doing ordinary least squares regression just like we did in simple regression but now we'll be using matrix algebra to calculate the coefficients.

Just two simple regressions and model three is the multiple regression with both predictors in there.

And if you compare them to the regression coefficients when they are entered by themselves in the simple regression models both, they don't drop very much.

Now, this didn't really come up much in simple regression because the model was just one predictor.

That's, important to remember. So, now let's do the simple regression using active years to predict endurance.

So again, we wind up with just beta equals r. That's only true in simple regression. In

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Regression is continuous.

So, today is very a very simple basic approach just to give you the general concepts in regression.

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So, that's linear regression.

logistic regression with a

And again, remember that in the simple regression equation, B1 is the slope relating X to Y. But beware.

This is where the concept of ordinary lease squar es regression comes in. And the idea is very simple.

And what's new is doing multiple regression analysis, asking for standardized regression coefficients.

Now that we're in regression I want to present this with respect to the unstandardized regression coefficient, B, in the regression equation.

linear regression for classification problems.

The unstandardized regression coefficient, B.

That is the regression constant.

Today, we'll see how multiple regression, multiple regression works where we have multiple predictors.

Well, for simple regression, which was what we're doing right now, just one predictor variable, one outcome variable, it's really easy.