Understanding Correlation in Statistics

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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?

Pearson product-moment correlation coefficient 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?

It becomes negative 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?

Correlation Signup and view all the answers

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

Dependence Signup and view all the answers

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

The price of a house and the number of floors it has Signup and view all the answers

Why are correlations considered useful in statistics?

To predict relationships between variables Signup and view all the answers

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

A correlation may not indicate a causal relationship Signup and view all the answers

Understanding Correlation in Statistics

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Questions and Answers

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

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

Who developed the Pearson product-moment correlation coefficient?

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

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

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

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

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

Why are correlations considered useful in statistics?

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

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