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#
Second Semester Honors Algebra 2 Project 1

How 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 exponential regression of the state population data vs.
the year.

- State the y-intercept for each model and explain what that
represents.
- State the rates for the linear and exponential models and explain what
that represents.
- 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:

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Due Date:
_____________________

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