9th Grade 4.7 Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistic that measures the strength and direction of a linear association between two quantitative variables.

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

What is a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What is a negative correlation?

Back

A negative correlation means that as one variable increases, the other variable decreases.

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables using dots to represent data points.

Front

What does a strong negative correlation look like on a scatterplot?

Back

A strong negative correlation on a scatterplot appears as points that are closely clustered along a downward slope.

Front

What does a weak positive correlation look like on a scatterplot?

Back

A weak positive correlation on a scatterplot appears as points that are loosely scattered with a slight upward trend.

Front

How can you estimate the correlation coefficient from a scatterplot?

Back

You can estimate the correlation coefficient by observing the direction and tightness of the clustering of points in the scatterplot.