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In this post, you will be challenged
to look at how statistical tests, such as correlation are commonly used
and the possible limitations of such analyses. In addition, you will
need to identify the appropriate application of course-specified
statistical tests, examine assumptions and limitations of course
specified statistical tests, and communicate in writing critiques of
statistical tests.
Much has been written about the relationship
between students’ SAT test scores and their family’s income.  Generally
speaking, there is a strong positive correlation between income and SAT
scores.  Consider and discuss the following questions as you respond:

  • What does this correlation tell you?
  • Is this correlation evidence that having a high family income causes one to have high SAT scores?
  • Is
    this correlation evidence that high SAT scores are a cause of higher
    income? Or, does this tell you something else?  Explain your answer.
  • Explain why correlation alone is rarely sufficient to demonstrate cause.

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