Understanding Correlation in Statistics

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What does 'correlation' usually refer to in statistics?

The degree to which a pair of variables are linearly related

Why are correlations considered useful in statistics?

They can indicate a predictive relationship that can be exploited in practice

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

When extreme weather causes people to use more electricity for heating or cooling

In informal parlance, what is correlation synonymous with?

'Dependence'

What is the formal definition of dependent random variables?

$P(A \cap B) \neq P(A)P(B)$

Test your knowledge about the statistical relationship between random variables or bivariate data, and the degree to which a pair of variables are linearly related. Explore examples of dependent phenomena and enhance your understanding of correlation in statistics.

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