Practice
practice problem 1
simple-pendulum.txtIn this experiment, simple pendulums of different lengths were constructed and
their periods measured. This data set looks linear, but is it really? What effect
does length have on the period of a simple pendulum?
solution
practice problem 2
vostok.txt
Snow rarely gets a chance to melt in Antarctica, even in the summer when the
sun never sets. In the interior of the continent, the temperature of the air
hasn't been above the freezing point of water in any significant way for the
last 900,000 years. The snow that falls there accumulates and accumulates and
accumulates until it compresses into rock solid ice — up to 4.5 km
thick in some regions. Since the snow that falls is originally fluffy with air,
the ice that eventually forms still holds remnants of this air — very,
very old air. By examining the isotopic composition of the gases in carefully
extracted cores of this ice we can learn things about the past climatic conditions
on earth. By extension we might also predict some things about the climate of
the future. The columns in this data set are as follows:
- Age of air (years before present)
- Temperature anomaly with respect to the mean recent time value (℃)
- Carbon dioxide concentration (ppm)
- Dust concentration (ppm)
Source: Adapted from
Petit,
et al. 1999.
Questions …
- CO2
- Construct a set of overlapping time series graphs for CO2 concentration and temperature anomaly.
- Construct a scatterplot of temperature anomaly vs. CO2 concentration.
- How does atmospheric carbon dioxide affect global climate?
- What global average temperature deviation might one expect given current atmospheric CO2 levels?
- Dust
- Construct a set of overlapping time series graphs for dust and temperature anomaly.
- Construct a scatterplot of temperature anomaly vs. dust concentration.
- How does atmospheric dust affect global climate?
- What global average temperature deviation might one expect from exceptionally high levels of atmospheric dust?
solution
- Linear
- look at it it.
[magnify]
- Substitute
- Exponential Approach
- Behold
[magnify]
- Extrapolate
practice problem 3
Write something else.
solution
practice problem 4
pizza.txtAn Internet search engine was queried for pizzerias in the area centered
on Brooklyn College. The name, phone number, and address were recorded for
the first six hits. How is the building number of a pizzeria in Brooklyn
affected by the last four digits of its phone number?
solution