What
patterns do you observe from this information?

Approximately
how much is the world population growing each year?

Make
points out of the data. Use a (t,P) coordinate system where
t = 0 in 2000 and P is the world population, in billions. Plot
the points on a (t,P) coordinate system.

Use
linear regression to write a linear function P(t) which best
fits the data. Say in your own words exactly what P(t) describes.

What
is the slope of P(t)? Describe in your own words what this number
means.

Use
the function P(t) to answer the following questions

Estimate
the world population in 1997

Predict
the world population in 2003.

Predict
when the population will reach 7 billion.

Estimate
the world population the year you were born.

For
what years do you think your function is appropriate? What does
that mean in terms of the domain of the function?

Reflection

Reflect
on the computation

What
did you do to predict the population at a given time?

What
did you do to predict when the population will reach a given
level?

Reflect
on the algebra

What
are the units for the slope?

What
does the vertical intercept tell you?

Reflect
on the accuracy of your model

Update
the information on world population. See www.census.gov
for more information.

Compute
a new regression equation using the updated information.

Does
your new equation predict a faster, slower or same annual
rate of change?

What
factors do you think would lead to increased population
growth? decreased growth?