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 r=1 indicate?

Back

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

Front

What does a correlation coefficient of r=-1 indicate?

Back

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

Front

What does a correlation coefficient of r=0 indicate?

Back

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

Front

What is a strong positive correlation?

Back

A correlation coefficient close to +1, indicating a strong relationship where both variables increase together.

Front

What is a strong negative correlation?

Back

A correlation coefficient close to -1, indicating a strong relationship where one variable increases while the other decreases.

Front

What is a weak positive correlation?

Back

A correlation coefficient close to 0 but positive, indicating a slight tendency for both variables to increase together.

Front

What is a weak negative correlation?

Back

A correlation coefficient close to 0 but negative, indicating a slight tendency for one variable to increase while the other decreases.

Front

What is the line of best fit?

Back

A straight line that best represents the data on a scatter plot, used to predict values.

Front

How do you determine the line of best fit?

Back

By using methods such as least squares regression to minimize the distance between the line and the data points.