So we did some mathematics to study the size of these clusters. This here shows, on the Y-axis, the increase in the probability that a person is obese given that a social contact of theirs is obese and, on the X-axis, the degrees of separation between the two people. On the far left, you see the purple line. It says that, if your friends are obese, your risk of obesity is 45 percent higher. And the next bar over, the [red] line, says if your friend's friends are obese, your risk of obesity is 25 percent higher. And then the next line over says if your friend's friend's friend, someone you probably don't even know, is obese, your risk of obesity is 10 percent higher. And it's only when you get to your friend's friend's friend's friends that there's no longer a relationship between that person's body size and your own body size.
所以我们用数学的办法研究了一下这些聚集的大小。在这里可以看到,纵轴上代表的是,如果一个人的社会联系人中有人患有肥胖症的话,那么这个人患有肥胖症的几率会增加多少;横轴上代表的是,这两个人之间的分离指数。在最左端,你看到那条紫色线。它显示如果你的朋友们有肥胖症,你肥胖的可能性就会高出45%。接下来的那条红色线显示的是,如果你的朋友的朋友有肥胖症,你患肥胖症的可能性就会高出25%。 下一条线显示如果你朋友的朋友的朋友──你可能都不认识这个人──患有肥胖症的话,你患肥胖症的可能性就会高出10%。一直追溯到你朋友的朋友的朋友的朋友的时候,这层关系才会消失,这个人的身形和你的身形才不再会有关联。
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