Wednesday, September 29, 2010

Scatter Plot and Linear Regression

 Years                         Population in Billions
0   (1950)                   2.6
1   (1960)                   3
2   (1970)                   3.7
3    (1980)                  4.5
4   (1990)                   5.2
5   (2000)                   6.1
6   (2010)                   6.9
7   (2020)                   7.6
8    (2030)                  8.2
9    (2040)                  8.9
10   (2050)                 9.2

The correlation coefficient is 0.997
The regression equation is y=0.709x+2.445
The slope represents the rate in which the world population grows every ten years and the y-intercept represents  if x were to be 0, that would be the population.

What my data shows is there is a steady growth in the world's population. Also that the numbers such as the y-intercept and first x-y value don't align perfectly because there is not exact information.  

It is important to analyze regression equations and scatter plots to interpret data that has been given to us. They can help with such things as stats on your favorite baseball player to analyzing how much money a stock has made or lost. 

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