1. The Human Security Report is an online periodical that compiles data on various aspects of global human security issues.
2. A relationship is a function if each input has exactly one output. Graphically, a relationship is a function if it passes the vertical line test.
3. http://www.hsrgroup.org/docs/Publications/HSR2005/Figures/2005HSReport-fig5_4-War-Poverty-Association.pdf
4. This relationship illustrates how the probability of conflict in a state decreases as that state's GDP per capita rises.
5. The function is not linear, and instead looks somewhat like a geometrical progression.
6./7. The function is not linear because the average rate of change drastically changes once GDP per capita rises above about $2000.
8. This function is not a mathematical model because other circumstances could trigger conflict in a state besides its poverty levels. Also, the government could be rich while every citizen is very poor, causing a low GDP per capita, but with the rich government hogging all resources. Thus, these outputs, the probability of conflict, are not entirely dependent on the GDP per capita.
Part b:
1. A relationship is not a function when it involves inputs with more than one output.
2. http://www.nytimes.com/2014/01/18/us/as-californias-drought-deepens-a-sense-of-dread-grows.html?ref=us
3. This article shows the relationship between the passage of time and the amount of land with severe to exceptional drought in California.
4. This is not a function because each year, or input, has many outputs, as the percentage of land changes throughout the year.
It reflects in the graph that the relationship between war and probity is negative. Which means more war conditions there is, the less GDP is. It is interesting to notice the huge decline at the beginning of the graph showing. I think this could mean that GDP change response less quickly at the beginning of to the war decline.
ReplyDeleteThe data is very interesting because I thought that it would be the opposite. I thought that as the probability of war decreased, the GDP would increase since more goods would be produced throughout that time. Regardless, this data is intriguing.
ReplyDeletesam,
ReplyDeletevery nice job on both of these examples! you explained the mathematical reasoning impeccably. and kudos for finding a relationship that does not constitute a function as many students had a hard time with this portion of the assignment. at first glance, it looks like your second example could be a function, but since the structure of the histograms is not entirely to scale, it works.
professor little