Or total squared error with the line.

或直线的总平方误差。

So are squared error versus our line, our total squared error, we just computed to be 2.74.

平方误差与我们的线，我们的总平方误差，我们刚刚计算为 2.74。

So what is the total squared error with the line?

那么这条线的总平方误差是多少？

The total squared error with the line is 2.73.

该线的总平方误差为 2.73。

And then we're going to square that error.

然后我们要纠正这个错误。

And what we want to do is minimize this squared error from each of these points to the line.

我们要做的是最小化从每个点到直线的平方误差。

So that it minimizes the squared error.

所以它最小化平方误差。

And we want the squared errors between each of the points of the line.

我们想要直线上每个点之间的平方误差。

So once again, this is just the squared error of that line with n points.

所以再一次，这只是那条有 n 个点的直线的平方误差。

We have the squared error of the line.

我们有直线的平方误差。

This is the squared error of the line axis.

这是线轴的平方误差。

Let me call this the squared error from the average.

让我将其称为平均值的平方误差。

And so what we calculated next was the total error, the squared error, from the means of our y values.

所以我们接下来计算的是总误差，平方误差，来自我们的 y 值的平均值。

If the squared error of the line is really small what does that mean?

如果线的平方误差真的很小，那意味着什么？

Sometimes, it's called the squared error.

有时，它称为平方误差。

So if we find the m and the b values that satisfy the system of equations, we have minimized the squared error.

所以如果我们找到满足方程组的 m 和 b 值，我们就已经最小化了平方误差。

The total variation in y, which is the squared error from the mean of the y's.

y 的总变差，它是 y 的均值的平方误差。

If the squared error of the line is small, it tells us that the line is a good fit.

如果直线的平方误差很小，则说明直线拟合得很好。

And the partial derivative of our squared error with respect to b is going to be equal to 0.

并且我们的平方误差关于 b 的偏导数将等于 0。

This is all just algebraic manipulation of the squared error between those n points and the line y equals mx plus b.

这只是对这 n 个点和线 y 等于 mx 加 b 之间的平方误差的代数运算。