But I'll write the x squared here.

但我会在这里写下 x 的平方。

That one corresponds to the derivative of five X squared.

这个对应于5x²的导数。

This is my chi-square statistic, or we could call it a big capital X squared.

这是我的卡方统计量，或者我们可以称之为大资本 X 平方。

When the number is 2, we say: " squared" , so: " X squared" .

当数字为 2 时， 我们说：“平方” ，所以：“X 平方” 。

Apolynomial, like X squared plus three, X plus five, E.G.

多项式 比如X²+3X+5 例如。

Then this term here, you have n times the mean of the x squared times m squared.

然后这里的这一项，你有 n 乘以 x 平方乘以 m 平方的平均值。

This one corresponds to the derivative of x cubed being three x squared, and after that, it'll be nothing but zeroes.

这一项对应于x³的导数为3x² 在这之后 它就是0了。

Well, again, you can multiply out all the terms and get one plus three X plus three X squared plus X cubed.

好吧，同样，你可以将所有项相乘，得到一加三 X 加三 X 平方加 X 立方。

And if you solve for Y, well the top part of the circle is equal to one minus X squared to the half.

如果你求解 Y，那么圆的顶部等于 1 减去 X 的平方。

If you look at the numbers in these equations the coefficients on X and X squared and so on, well, they're actually just the numbers in Pascal's triangle.

如果你看一下这些方程中的数字，X 的系数和 X 的平方等等，嗯，它们实际上只是帕斯卡三角形中的数字。

All of that over, mean of the x's times the mean of the x's is just going to be the mean of the x's squared, minus over here you have the mean of the x squared.

所有这些都结束了，x 的平均值乘以 x 的平均值就是 x 的平方的平均值， 在这里减去 x 的平均值就是 x 的平方。