The following data in Table 9.2 show the US population from 2001 to 2012
(a) Use Method One and find an exponential function Pt = cat for the US population.
(b) What is the annual rate of growth of the population?
(c) Use the model and estimate the US population for 2011 and 2012.
(d) Given the actual figure for year 2011 and 2012 in the table, what is the average percentage error of the model?
Table 9.2 US population from 2000 to 2012
|
Year
|
Population (1000)
|
|
2000
|
282162
|
|
2001
|
284969
|
|
2002
|
287625
|
|
2003
|
290108
|
|
2004
|
292805
|
|
2005
|
295517
|
|
2006
|
298380
|
|
2007
|
301231
|
|
2008
|
304094
|
|
2009
|
306772
|
|
2010
|
309350
|
|
2011
|
311592
|
|
2012
|
313914
|
Source Department of commerce (bureau of the census)