But he points out that President Obama must walk a fine line: encouraging democratic change without threatening regime change.

VOA: standard.2010.05.19

The concept of regression goes back to the mathematician Gauss, who talked about fitting a line through a scatter of points.

回归这个概念要追溯到数学家高斯,讨论的是从若干散点中切合出一条直线

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What Gauss did was said, let's fit a line through the point-- the scatter of points--and that's called the regression line.

高斯说,做这样的一条直线,切合所有散点,这就是回归直线

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Now I have the ability to say, I've got a new class, I can create instances of a line segment, and it's elements are themselves instances of points. OK?

这就是我们要讲模块化的地方了，现在我可以说，我创建了一个新类，我可以创建线段的实例了,这些实例的元素？

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You can imagine different products therefore, that are on the market, positioning themselves, or being positioned at different points on the line.

因此你可以想象不同的产品,不同的产品分布在,分布在市场上

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It creates as a distance between two points, rather than a straight line, an arabesque.

它加长了两点之间的距离，使它变得非直而曲。

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Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.

最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直，你也可以用别的办法,比如一条抛物线。

麻省理工公开课 - 热力学与动力学课程节选

I don't know how well you can see it in this figure here, is the slope of a straight line connecting these two points, and as the points come closer and closer, the straight line would become tangent to the curve.

我不清楚你们对于这个图像的理解,这条连接两点的斜线,随着两点距离逐渐缩小,两点连线会变成曲线的切线

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And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.

我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点，然后用一条曲线对它进行拟合，然后用这条曲线来预测未来的点,最后却发现结果完全不对。

麻省理工公开课 - 计算机科学及编程导论课程节选

He chose the line so that--this is Gauss-- he chose the line to minimize the sum of squared distances of the points from the lines.

高斯选的这条线,所有点距离这条直线的平方和,是所有直线中最小的

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The best possible portfolio that you can get would be points along this straight line.

你所能得到的最佳资产投资组合,就是这条线上的一系列点。

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You can see some of the points I've made along the blue line here.

你们可以看到我在蓝色曲线上标出了几个点。

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Let's draw a line through a scatter of points here.

我们来画一条切合散点的直线

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That's a choice, and that choice turns out to be very interesting and really important, because if you connect these two points together, you get a straight line that has to intercept the x-axis at some point.

在这一选择下,我们会发现一件非常有趣，而且极其重要的事,当你把这两点用直线连接起来，你会发现这条直线,将与x轴在某点相交。

麻省理工公开课 - 热力学与动力学课程节选