Two Variable Statistics

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive linear relationship between two variables.

Front

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

Back

A correlation coefficient of r = -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no linear relationship between the two variables.

Front

How can you determine if a correlation is weak, moderate, or strong?

Back

A correlation is considered weak if |r| < 0.3, moderate if 0.3 ≤ |r| < 0.7, and strong if |r| ≥ 0.7.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

Front

What does a positive linear association look like on a scatter plot?

Back

A positive linear association on a scatter plot shows that as one variable increases, the other variable also tends to increase.

Front

What does a negative linear association look like on a scatter plot?

Back

A negative linear association on a scatter plot shows that as one variable increases, the other variable tends to decrease.

Front

What is a nonlinear association?

Back

A nonlinear association occurs when the relationship between two variables cannot be accurately represented by a straight line.