Correlation Coefficient

Front

What is a correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does a positive correlation indicate?

Back

As one variable increases, the other variable also increases.

Front

What does a negative correlation indicate?

Back

As one variable increases, the other variable decreases.

Front

What is the range of values for a correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

What does a correlation coefficient of 0 indicate?

Back

There is no correlation between the two variables.

Front

What does a correlation coefficient of 1 indicate?

Back

A perfect positive correlation between two variables.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative correlation between two variables.

Front

How can you visually assess correlation?

Back

By using a scatterplot to plot the data points of the two variables.

Front

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

Back

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (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.