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Second Semester Algebra 2 Project
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.
- This is done on your calculator: Use each mode to interpolate the data to
predict the population of the state for 1984.
- This is done on your calculator: Use each model to predict the population
of the state for 2000. How close is this to the US Census Bureau actual value?
- This is done on your calculator: Use each model to predict the population
of the state for 1870. How close is this to the US Census Bureau actual
value?
- This is done on your calculator: In what year will the population of the
state will be one-in-a-half times larger than it was in 1990?
- 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.
- In
general,
discusses the problems associated with extrapolating and why models may or may
not be appropriate for predicting too far into the future or past.
Refer to your graphs as examples
of such problems.
- In
general,
discusses what criteria one would use to select or eliminate a model for
interpolating the data. In that
discussion you must deal with why or why not each model you have would be
appropriate or not appropriate.
Websites
needed:
Due Date:
_____________________
Please send comments, questions, and suggestions to:
The CVC Math Domain at mathdomain@cvc.org
Program of
Studies | The CVC Math Domain | The CVC Home Page