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Questions and Answers
What does 'correlation' usually refer to in statistics?
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?
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 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?
In informal parlance, what is correlation synonymous with?
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What is the formal definition of dependent random variables?
What is the formal definition of dependent random variables?
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