Understanding Correlation in Statistics

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Questions and Answers

Which correlation coefficient is sensitive only to a linear relationship between two variables?

  • Pearson product-moment correlation coefficient
  • Pearson correlation coefficient (correct)
  • Spearman's rank correlation coefficient
  • Mutual information coefficient

What is the mathematical formula for calculating the Pearson product-moment correlation coefficient?

  • $\frac{cov(X,Y)}{\sqrt{var(X) \cdot var(Y)}}$ (correct)
  • $\frac{var(X) \cdot var(Y)}{cov(X,Y)}$
  • $\frac{cov(X,Y)}{var(X) \cdot var(Y)}$
  • $\frac{cov(X,Y)}{var(X) + var(Y)}$

Who developed the Pearson product-moment correlation coefficient?

  • Karl Pearson (correct)
  • Spearman
  • Mutual Information Theory
  • Francis Galton

Which correlation coefficient attempts to establish a line of best fit through a dataset of two variables?

<p>Pearson product-moment correlation coefficient (D)</p> Signup and view all the answers

How is the Pearson's correlation coefficient affected if there is a negative correlation between the variables of a dataset?

<p>It becomes negative (D)</p> Signup and view all the answers

Which term in statistics refers to any statistical relationship, whether causal or not, between two random variables or bivariate data?

<p>Correlation (A)</p> Signup and view all the answers

What does the presence of a correlation between two variables indicate in statistics?

<p>Dependence (A)</p> Signup and view all the answers

Which example reflects a correlation between two phenomena described in the text?

<p>The price of a house and the number of floors it has (C)</p> Signup and view all the answers

Why are correlations considered useful in statistics?

<p>To predict relationships between variables (D)</p> Signup and view all the answers

In statistics, what does 'correlation does not imply causation' mean?

<p>A correlation may not indicate a causal relationship (B)</p> Signup and view all the answers

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