Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 1 indicate?

Back

A perfect positive correlation, meaning as one variable increases, the other variable also increases.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative correlation, meaning as one variable increases, the other variable decreases.

Front

What does a correlation coefficient of 0 indicate?

Back

No correlation, meaning there is no linear relationship between the two variables.

Front

What is a positive correlation?

Back

A relationship where both variables move in the same direction; as one increases, the other also increases.

Front

What is a negative correlation?

Back

A relationship where one variable increases while the other decreases.

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What is the formula for calculating the correlation coefficient (r)?

Back

r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)] where n is the number of pairs.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Front

What type of correlation is shown if the scatterplot slopes downward?

Back

Negative correlation.