PROCEDURE
Part One
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Part Two
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Part Three
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Part Four
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Part
1: The first part of this project will explore your
use of basic statistical measures and web based searches.
Your presentation can be as creative
as your group wants to make it. You should be able to answer the
following questions.
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There are different types of racetracks,
different categories that NASCAR has divided tracks into based on its shape,
speeds, length, etc. Which type of track is Dover Downs?
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There are two Winston Cup Races held
each year at Dover Downs, both are sponsored by MBNA. What is the
Fall race called? the Spring race called? What differences can your
group see between the Spring race and the Fall race?
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Who was the winner of the Fall '98
Winston Cup race at Dover Downs? How long did the race take? What
was the average speed of the winner?
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Look at the past 10 Winston Cup races
at Dover Downs, what is the mean time to complete the race? Is there
any inaccuracy with this calculation? Look carefully, why could this mean
time, be inaccurate?
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Compare the mean of the average speeds
from the past ten Dover Downs Winston Cup races. Note: the speed given
for each race winner is considered an average speed because it accounts
for the speeding up and slowing down when under caution ,pit stops, etc.
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What is the fastest lap in Dover Downs
history, find the speed?
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Using the speed above, how long would
it take to complete this lap at Dover Downs? If you used the same
speed how long would it take to complete a lap at Daytona, how long would
it take to complete a lap at Sears Point? (Hint: use the equation which
involves distance, time, and rate of speed. t = d/r )
You will want to use the resources
listed on the resource page. You may use internet sources or off-line
sources. Most of the information asked about will not require a lot
of hard searching. Remember, this is like a warm-up lap, make sure
your team is working well together, test everything out, and complete part
one. The upcoming sections will require more mathematics, graphing,
more in-depth research, and time. Keep going victory is within your
reach if you work together as a team.
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Part
2: This section will require you to use research from part one.
You will still need to use basic statistical measures and graphing techniques.
Your research may need to be more in depth. Each group should continue
to gather data and collect statistics. Remember, each group can display
their data as creatively as they wish. Once you have collected data
from all parts of the project you can combine your results into a cohesive
project. Groups do not need to present their final project in four
different parts. Progress will be checked throughout each section
to keep your project on schedule.
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Find the median speed of the past ten
Dover Downs Winston Cup races. How does this compare with the mean calculated
in Part one? As part of the pit crew you must decide which speed to use.
Which would your team use and why? If you were in charge of marketing
for the race track, which speed would you use and why?
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List the names of drivers that completed
the last NASCAR Winston Cup race or you may use the last Dover Downs Winston
Cup race. Define the word "complete" based on your group's definition
and proper racing terminology. List all URL's and off-line sources
your group uses in building your definition.
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Using your research from part one when
you calculated the average of all the winning driver's average speeds from
the past ten races at Dover Downs, calculate the Mean Absolute Deviation
of these speeds. What would this statistic mean to the pit crew and
statistician of a race team?
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Find the mean speed of the past ten
races in this year's Winston Cup circuit. Calculate the mean absolute
deviation of these speeds. Would this statistic be more or less useful
to a race team, then the MAD calculated using just Dover Downs races?
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Make a histogram of the average race
winner's speeds for the past ten Dover Down's races.
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Make a histogram of the average race
winner's speeds for the past ten Winston Cup races.
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Compare and contrast these two histograms.
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Part
3: This section will require your group to use more advanced statistical
skills, such as scatterplots, linear regression, plots over time.
this section will also require your group to use deep thinking and reasoning
skills. There must be logic and meaning behind all statistics.
It will be your groups role to find these answers and help develop the
race plan for the team. You may need to do more extensive research
to back up you reasoning and explanations. remember to keep the creative
process going as you keep building your project. You are more than
half way done, consider this the half way point. I will evaluate
all groups progress and award a bonus to the team leading at this point.
Remember, just like in a race the team leading here is not always the team
in the lead at the end, so keep working hard and race to the finish.
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Find the data from the last ten years
of Dover Downs Winston Cup races. Find the time of the race (length, duration)
and the average speed of the winner.
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Graph this data in a scatterplot.
Which variable would go on the x-axis, which would go on the y-axis?
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Does a line fit this scatter plot?
Use your calculator to create a line of best fit (linear regression line).
Record the equation of your line.
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Make a plot over time using the last
ten years and the time of the race.
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Make a plot over time using the last
ten years and the average winning speed.
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Why is there some time changes? what
actions would effect the length of the race? Be specific. Do
research to back up your hypothesis.
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Part
4 - This section will use your knowledge of ratios and beginning
probability. You may want to use a combination of on-line and off-line
sources for this section. This is the last section in the project,
the final lap! Good Luck! I will be looking for all of you
in Victory Lane!
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What three automobile companies currently
have race cars in the Winston Cup circuit?
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Make a table showing how many cars
from each automobile company participated in the last Dover Downs Winston
Cup race.
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Are all cars supposed to have an equal
chance of winning?
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Use probability to determine the chance
of winning for each car company that raced in the last Dover Downs race.
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How accurate would this mathematical
calculation be in determining the winner. Does your team feel any
other criteria helps decide the winner? Give a detailed list of winning
criteria in your final project.
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