```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.```