Understanding Correlation in Statistics
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Questions and Answers

What does 'correlation' usually refer to in statistics?

  • The causal relationship between two random variables
  • The presence of any type of association between two random variables
  • The mathematical property of probabilistic independence
  • The degree to which a pair of variables are linearly related (correct)

    • Why are correlations considered useful in statistics?

  • They always imply a causal relationship
  • They can indicate a predictive relationship that can be exploited in practice (correct)
  • They provide concrete evidence of association between variables
  • They guarantee probabilistic independence

    • When does the presence of a correlation imply a causal relationship?

  • When extreme weather causes people to use more electricity for heating or cooling (correct)
  • When variables satisfy a mathematical property of probabilistic independence
  • When the correlation coefficient is close to 0
  • When there is a strong linear relationship between two variables

    • In informal parlance, what is correlation synonymous with?

    <p>'Dependence'</p> Signup and view all the answers

    What is the formal definition of dependent random variables?

    <p>$P(A \cap B) \neq P(A)P(B)$</p> Signup and view all the answers

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