(Whistle blows, crowd shouts)

They're falling every day.

Modulus

And that's true of any sample statistic.

Correlation

Extinction

Cooling factor

So I can just rewrite that as A so now A is not a function anymore, it's just a number A times the second derivative of y, with respect to x, plus B times the first derivative, plus C times y.

AMS Binomial Expression

Scale by factor

n Choose m

Next I want to focus for a little while on the notion of a clustering coefficient.

This is supposed to be a constant

So there's a fair amount of interconnection between a node's neighbors.

So just getting it correct to a couple of digits is probably sufficient.

2nd derivative r squared.

Now it's about eighteen.

Normal Binomial

Displaystyle Binomial

Textstyle Binomial

So we'd like to have a way of getting a pretty good answer in time a lot less than this.

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.

How strong is the relationship?

But again, now that we're in multiple regression, this is not the same as the correlation coefficient.

If you increase the number of clusters, you would pay a penalty that is in the way of your attempted minimization.

They're on the same side of the equation.

So let's multiply both sides by negative 3, right?

I hit a post at 2 km h I lose 200

Let's just solve x squared minus x minus thirty is equal to zero.

I think you see what I did.

So, I just said and look, the a is just the coefficient on the x term, right? a is the coefficient on the x squared term. b is the coefficient on the x term, and c is the constant.

You literally just look at this coefficient right here, and you say, OK, well what's half of that coefficient?

When we complete the square, we just take half of this coefficient.

Low error factor

And let's see whether this is equal to 0.

So a plus b will be equal to the middle coefficient.

We have x of 1, 2, and 3 and y of 4, 7, and 13.

When you, do the simple regression equations.

So the important topics to take away from this segment.

And then, we can have multiple predictors and multiple regression coefficients.

The answer would be in this case 40, because we pay a 20 penalty of a bad match over here.

You end up paying two occlusion penalties for this guy over here and this guy over here.

I am going to say that the clustering coefficient for graph is just the average of the clustering coefficients of the nodes in the graph.

It's smaller than 0 if the relationship is negative.

We just have to multiply both sides times the reciprocal of the coefficient on the left hand side.