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And you don't get a complete straight line but you get an interesting function that suggest that there's a relationship.
你不会得到一条完整的直线,但会得到一个有趣的函数,表明他们之间的某种关系
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not necessarily quickest route as the crow flies.
不必是最快的直线距离。
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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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And if we do, in fact, hit it with light to get the electrons off, it will go back to the straight up in position, or if it gets knocked hard enough it does that, too.
而且如果我们这么做，事实上，用光轰击它以逐出电子，它就会在原位置沿直线返回，或者如果它被撞击的足够猛烈,也会出现上述现象。
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This is boring. In fact, you can do some nice things to prove what is the class of functions you can compute with straight-line programs, and what you'd see if you did that is, it's not particularly interesting.
这很无聊，实际上，你可以通过做一些很有趣的事情,来证明你可以通过直线程序,来做很多功能，但是你也看到我们之前讲过的了，这不太有趣。
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Any genuinely new trend is a knight's move. I just remind you, in chess the knight doesn't move in a straight line.
所以，任何新趋势都是迂回前进，我只是提醒大家一下，在国际象棋中马是不走直线的。
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Great. So now we have this ideal gas thermometer, and out of this ideal gas thermometer, also comes out the ideal gas law.
好，现在我们有了理想气体温度计,由此还可以引出理想气体定律，我们可以得到这条，插值出的直线的斜率。
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Can't my mind take off from there and push straight ahead to the idea of the perfectly straight, even if I never have encountered it before?
即使我之前没有直接碰到过,难道我的心灵不能借此来推断出,完美的直线是什么样子的吗
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So it doesn't really matter, but that's actually the equation of that line.
这个并不是极其重要,但这是该直线的方程
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Taking the problem, recognizing that you know what, 8 even though this is a pretty big problem size 8 in this case and last time it was size 8 or in the case of the papers in size of a thousand roughly with the phonebook, I assume these are in a perfectly straight line they won't quite fit.
以这个问题为例，你们要认识到，在这种情况下，这是个比较大的问题，其大小是,上次它的大小也是8，但在纸片那个问题中,电话簿的规模大概是上千的，现在假设这些,杯子完全在同一条直线上，虽然并不十分符合这个条件。
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It is an example of what I call the imperialism of the straight line, where you have large boulevards that you can march armies down to, reviewing stands and all of that, totally different than Moscow.
我所称的帝国主义直线型风格的范本,有足以让军队列队通过的宽阔的林荫大道,还有阅兵台之类的设计,这些和莫斯科太不一样了
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We'll talk specifically about how many calories people are consuming in liquid form which has gone way, way up.
我们将具体谈论人们从饮料中,摄取的卡路里量,这个数字直线上升
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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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So the knight, far from going on a straight course, surprises you.
所以马，不像其他走直线的棋子，它会给你出其不意的惊喜。
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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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Let's put the line that corresponds to choosing Down.
我们来画出对应选下的直线
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To get the best fitting line, you find the line that minimizes the sum of squared distances.
要找到最切合的直线,就是要使,这些距离的平方和最小
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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。
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That means that you want to pick, ultimately, a point on this-- this line is tangent to the efficient portfolio frontier with all the other assets in it.
那意味着你会最终会在这上面选一个点-,这条直线是与有效边界相切的,后者包含了所有的资产组合。
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Simply walk down that list.
执行一个直线序列的程序。
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Tangent means that it has the same slope, it just touches the efficient portfolio frontier for risky assets at one point, and the slope of the efficient portfolio frontier, including the riskless asset, is a straight line that goes through the tangency point, here.
相切意味着斜率相同，它与包含风险资产的有效边界,交与一点，而包含无风险资产的，有效边界，则是一条过切点的直线，切点在这里。
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So, we need to fill our octet for selenium, so 1, 2, 3, 4.So, this is our Lewis structure here, hopefully you can see why it's not linear.
我们要填满硒原子的八配位，所以1，2，3，4。这就是Lewis结构，希望你们能看出来为什么它不是直线型的。
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If it were linear, which 32% of you seem have thought, that would have meant that our Lewis structure had no lone pairs in it, right, and that's not the case.
如果是直线，就像32%的同学认为的那样，这意味着Lewis结构里没有孤对,对吧，这是不可能的。
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One question is this: Is it really true that in order to think about the perfectly straight, I must have somehow, somewhere at some point come up against, had direct knowledge of, the perfectly straight?
一个问题是,难道真的说,为了想象一条完美的直线,我必须,在某处直接碰到,并直接了解一条完美的直线吗
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is the slope of this line.
就是这条直线的斜率
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It's a straight line, thank you.
是条直线,谢谢你的回答
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This point here then is the present value of your income; it's Y today + / .
直线与x轴的交点表示收入的现值,它等于
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We have an interpolation scheme between zero and 273.16 with two values for this quantity, and we have a linear interpolation that defines our temperature scale, our Kelvin temperature scale.
的两个值做线性插值,就得到了开尔文温标,直线的斜率等于水的三相点,也就是这一点处的f的值,再除以273。16，这是这条直线的斜率，这个量，f在三相点处的值。
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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。
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So we know this is going to be a straight line in between, so let's put this line in.
我们已知两者之间是线性关系的,所以我们用直线连接两点
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