1900- 76,212,168
1910-92,228,496
1920-106,021,537
1930-123,202,624
1940-132,164,569
1950-151,325,798
1960-179,323,175
1970-203,211,926
1980-226,545,805
1990-248,709,873
2000-281,421,906
Cubic Graph
Cubic Graph
Cubic Regression equation: ax^3+bx^2+cx+d
a=12.711
b=-65006.145
c=110520945
d=-6.242x10^10
Pros and cons Of Cubic Graph:
- Con: The line from the cubic function goes just above the ploted points.
Liner Graph
Liner Equation:
2018840.193x-3771250387=y
Pros and Cons of Liner Graph:
- Con: Not all the plot point are on the Liner equations, however more ploted point land on the line compared to any other function.
Quadratic Graph
Quadratic equation:
9352.435967x^2-34455660.08x+3.178*10^10=y
Pros and Cons:
Con: the line from the quadratic function misses most of the plot points, if not all of them.
Exponetial Graph
Exponetial Function:
.0021946618*1.012885618^x=y
Pros and Cons:
Pro: Connects to plot point well, better than the other three functions do, and when the line does not connect with a plot point it is relatively close to it.
Conclusion:
The exponetial functions if the function that connects with the ploted point the best, and is the best equation to use for this situation.
Resources:
http://www.demographia.com/db-state1900.htm
http://fooplot.com/#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--
http://fooplot.com/#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--
Good info Ashley- if the exponential function best describes the info, what can you tell us about the US population growth in the 100 years and what contributed to it increasing exponentially?
ReplyDeleteIt's just amazing what 100 years of a country's population can increase so much. Do you think it'll reach an outstanding number within the next 10 years?
ReplyDeleteAlix, when I tried out the exponential eqation to find out what the population would be in the year 2100 it's going to grow largely. It should be roughly 1.004284x10^9.
ReplyDeleteTim, in ten years the population should be 329,443,554
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteDo you think this growth is due to immigrants to the USA?
ReplyDeleteGreat comparison of the different regression functions and I agree with your conclusion. Population growth is most frequently exponential...but it does look like it is slowing in more recent years. What do you think will happen to the population in the future? Great job maintaining your post and answering questions.
ReplyDeleteDo You Think Your Graphs Would Look Different If You Included Other Continents Like Canada And Russia Etc?
ReplyDelete