Correlation Coefficient Practice

Front

What is a 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 scatter plot?

Back

A graphical representation of two variables, where each point represents an observation in the dataset.

Front

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

Back

Points that are loosely clustered around an upward sloping line, indicating a slight tendency for one variable to increase as the other increases.

Front

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

Back

Points that are closely clustered around a downward sloping line, indicating a strong tendency for one variable to decrease as the other increases.

Front

How can you determine the correlation from a scatter plot?

Back

By observing the direction and tightness of the clustering of points; upward slope indicates positive correlation, downward slope indicates negative correlation.

Front

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

Back

Front

What is the difference between positive and negative correlation?

Back

Positive correlation means both variables move in the same direction, while negative correlation means they move in opposite directions.