Talk:1299: I Don't Own a TV
Annual Data for households between 1958-1970 http://www.tvhistory.tv/Annual_TV_Households_50-78.JPG
Plotted next to a fitted logarithmic function http://imgur.com/aVWmQ9z
The negative second derivative of this function http://imgur.com/xywpEJZ
Can someone explain why Randall believes smugness at not owning a television is decreasing? 188.8.131.52 08:31, 4 December 2013 (UTC)
- Current explanation - logistic curve
The current explanation is total bullshit. The thing with the negative second derivative is just saying, that the more embarrased people are, the more the change of the TV ownership rate will increase, which just means, more and more people will get themselves TVs. The other point of view is, the more smug you will look like for not owning a TV, the more the change of the TV ownership rate will decline, which means, that less and less people are buying TVs.
It has nothing to do with a logistic curve. The function, which second derivative is depicted in this comic is totally irrelevant.
184.108.40.206 08:34, 4 December 2013 (UTC)
I have the strong feeling he is talking about a sine wave, not a logistic function. It fits the curve in the comic as well as the condition of f"=-f. Also, it makes way more sense for the smugness to behave like this over time as for the first 30 years TV is culturally extremely significant and you therefore would want to own one in order to participate. But with declining quality of television and the emergence of the internet you might feel as if you were extremely progressive by not owning one anymore.
220.127.116.11 09:25, 4 December 2013 (UTC)
Yes, it definitely could be a sine curve. (see: http://www.wolframalpha.com/input/?i=d%5E2%2Fdx%5E2%28sin%28x%29%29). If one would neglect the beginning of the function for simplicity, this could be a solution.
18.104.22.168 10:07, 4 December 2013 (UTC)