Need for questions Number 2 The goal of this assignment is to analyze one or two quantitative variables (that may be rel

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Need for questions Number 2
The goal of this assignment is to analyze one or two
quantitative variables (that may be related to each other) to see
if you can predict one from the other. The data set should
consist of a set of individual people or things (30 or more) on
which variable(s) have been measured (one to two).
Variables need to be continuous, unless testing proportions.
The goal is to analyze the data and to present the results so
that someone who has not had a statistics course could understand
them. For example, when you report the p-value of a
hypothesis test, you need to explain what it means and why you
would probably reject (or fail to reject) the null
hypothesis. You don't need to explain how the tests of
hypotheses work, but you do need to explain what the assumptions
are and the decision means.
The project will have to address five main
topics:
1) What question are you trying to answer? (e.g., Can the
height of students be used to predict how far someone can
jump?)
2) Why is this question of interest? (e.g., In grade school
one of the tests in gym class is to see how far you can jump.
Is this fair to people who are short?)
3) How was the data gathered, and what limitations does this
imply? How would you overcome these limitations? (e.g.,
Only students in the fifth period gym class were used, this is
bad because…)
4) Describe the relationship between the variables. (e.g.,
The jumping distance is predicted to increase by … for each
additional inch of height…)
5) Verify that your model is appropriate (or take remedial
action if needed) by checking the assumptions of the model (e.g.,
Based on this plot, the error variance appeared non-constant,
so I …)
The paper should be typed, using complete sentences, good
grammar, and transition between the various sections. If you
are using data collected by someone else or a website, reference
the source appropriately.
Specifics for the Project
1) If the data come from a sample: Define the
desired target population and describe how the sample was
collected. If you were not able to sample from the desired
population, state what differences you might expect between the
population that was actually sampled from and the desired target
population. If you were not able to take a simple random
sample from the population, discuss how the sampling could be
improved if you were allowed more money and time.
If the data come from an experiment: Describe
how the experiment was carried out, describe any sources of extra
variation (e.g. changing temperature, different people making the
measurements, etc...). Did you try to control these?
Discuss how the experiment could be improved if you were allowed
(more) money and time.
2) Statistics: The
report of the test you performed should include at least
the following statistics: a confidence interval, the p-value
for testing, and descriptive statistics & graphs. Make
sure and tell the reader why these statistics should be useful to
them, and interpret them in the context of your data
set.
Assumptions: Check the assumptions
needed. Give relevant plots that you use to check the model
assumptions (see above).
3) Finally, don’t forget to include a short
summary at the end of your paper to tie everything together!