# First Semester Honors Algebra 2 ProjectHow Fast is the State Population Growing?

• Topic: In this project, you will access population data from the US Census Bureau Internet sight. You will analyze the data to help you predict the rate in which a state population is growing and also to predict the population in the past and in the future.

• Analysis of a state data  from 1900 to 1990 (Answer the following questions about the population of the state based on each of your models.)
• How does the population grow?
• Perform a linear regression of the state population data vs. the year.
•  Perform a quadratic regression of the state population data vs. the year.
• Perform a cubic regression of the state population data vs. the year.
• Perform a quartic regression of the state population data vs. the year.
• State the y-intercept for each model and explain what that represents. Does this seem reasonable?  Explain why or why not.
• Use each mode to interpolate the data to predict the population of the state for 1984.
• Use each model to predict the population of the state for 2000. How close is this to the US Census Bureau actual value?
• Use each model to predict the population of the state for 1870.  How close is this to the US Census Bureau actual value?
• In what year will the population of the state will be one-in-a-half times larger than it was in 1990?
•  Explain how one would select a model that would be best for interpolation purposes.
•  Explain the problems with selecting a model that would be appropriate for extrapolation purposes.
• Graph all four scatter plots and models with their equations using excel.  Graphs are to be the no smaller than 4" x 4" and no larger than a half sheet of paper..
• Write all the above in a bulleted, summary form.  1 page for each graph/model with summary.
Remember to get a possibility of an "A" you must extend beyond the above items.
• Explain how one would select a model that would be best for interpolation purposes.
• Explain the problems with selecting a model that would be appropriate for extrapolation purposes.

Websites needed: