**Project #1 – Population Explosion ???**

1) Research:

a) Look up the population history for your assigned town. (You can use Wikipedia – search for your town and locate the population table on that web page – every town/city in MA has a table on its page). Find the population for 2010 and every 10 years prior to that (as far back as 1930; if your town does not have that much data, use as much as you have.)

b) Summarize the data in a chart to be included with your report.

2) Algebraic work:

a) Using only the oldest and most recent (2010) populations, algebraically find a linear equation that models the data. Show all of your algebraic work.

b) Use the equation found in part (a) above to **predict **the population in 2030. Show all of your algebraic work.

c) Using only the two most recent (2000 & 2010) populations, algebraically find a linear equation that models the data. Show all of your algebraic work.

d) Use the equation found in part (c) above to **predict **the population in 2030. Show all of your algebraic work.

3) Graphing calculator work:

a) Use your graphing calculator to create a scatter plot of all of the population data. On graph paper, create a graph of the scatter plot data to include with your report – be sure to include a title for your graph, and labels for each axis.

b) Using your graphing calculator, perform a linear regression calculation on the data to find a linear equation modeling the data. Also, find the correlation coefficient for the data.

c) Use the equation found in part (b) above to **predict **the population in 2030. Show your algebraic work, or explain in detail how you found this value on your calculator.

4) Analysis and conclusions

a) **Which prediction **for the population in 2030 do you think is more accurate? (i.e., which answer – 2(b), 2(d), or 3(c) – do you think is most accurate?)

b) Explain the reasons for your answer to part (a) above.

Subject | Mathematics |

Due By (Pacific Time) | 02/26/2014 12:00 am |

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