Either way.

We need to get the message out.

Can I still put any x value in here and get a reasonable answer?

Well, you're acting that way.

This is reasonable.

The whole business it's unreasonable from beginning to end. Quite reasonable, said the Invisible Man.

I will never yield, and the exclamation little pretty ones!

You could do it that way.

We're reasonable people.

It's gotta be sort of a relief, right?

Tough, yet rational and ethical.

Now let's add another twist on it.

There's only 5 variables, so even if all 5 of them were hidden, there would only be 32 rows in the table to sum up.

The fact is it's that uncertain part that should move us towards this.

That's the fun thing about algebra you can do things in two completely different ways, but as long as you do them in algebraically valid ways, you're not going to get different answers.

There must be a rational explanation for this.

If you're under 50 we want you to work four more years.

It's not about the things that it brings.

I have a friend, proposed to his sweetie.

I want to make a case.

You need to be more rational because I don't know what you're capable of.

It has to be. It's the only possible explanation.

They actually tend to go a little risky.

Thank you.

And Alice and Bob both understand what's going on.

His argument is rational.

Mother Theresa, she was rational.

They're all well documented.

It is my job as president of this great country to make rational decisions when I am given facts.

And in both macro and micro economics, there is especially in the modern sense of it, there is an attempt to make them rigorous, to make them mathematical.

I think that's cheap, at the price.

It happens in a reasonably organized way, which kind of speaks to the idea that it's part of the process.

The first is the one that you're probably most familiar with. It's the one and people talk about hey, the average on this exam or the average height. And that's the arithmetic mean.

One being physically separate, but with a collective consciousness.

That is completing the square.

Now there's one alternate way that you could factor this and it'd be completely legitimate.

You know, what if people are rational?

There's gotta be a rational explanation.

Any reasonable explanations?

Now one more question for this same game tree.

Tra la! What ho!

Yes, you're right.

And hopefully that will give you, an even better sense of what the cost function j is doing in the original linear regression formulation.

Stage magic relies almost wholly on the momentum error.

You might say, eh, that's not really irrational.