Correlation Coefficients and Relationships

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 does a correlation coefficient of 0 indicate?

Back

No correlation; there is no predictable relationship between the two variables.

Front

What is the range of correlation coefficients?

Back

From -1 to +1.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative correlation; the variables move in exactly opposite directions.

Front

What does a correlation coefficient of +1 indicate?

Back

A perfect positive correlation; the variables move in exactly the same direction.

Front

How can you visually represent correlation?

Back

Using a scatterplot.

Front

What is a regression equation?

Back

An equation that describes the relationship between independent and dependent variables.

Front

What is the formula for a simple linear regression?

Back

y = mx + b, where m is the slope and b is the y-intercept.