Correlation Coefficient

Front

What is the correlation coefficient?

Back

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

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 predictable relationship between the two variables.

Front

What is a scatter plot?

Back

A graph that uses dots to represent the values obtained for two different variables, showing the relationship between them.

Front

What does a weak positive correlation look like on a scatter plot?

Back

Points that are loosely clustered in an upward trend, indicating a slight increase in one variable as the other increases.

Front

What does a strong negative correlation look like on a scatter plot?

Back

Points that are closely clustered in a downward trend, indicating a significant decrease in one variable as the other increases.

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

Front

If r = 0.5, what type of correlation is present?

Back

A moderate positive correlation.

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.