Correlation and Scatterplots

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

A correlation coefficient (r) of 0 indicates no correlation between the two variables, meaning there is no predictable relationship between them.

Front

What does a correlation coefficient (r) of 1 indicate?

Back

A correlation coefficient (r) of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases in a perfectly linear manner.

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A correlation coefficient (r) of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

Front

What does a positive correlation look like on a scatterplot?

Back

In a scatterplot, a positive correlation appears as a pattern where points trend upwards from left to right.

Front

What does a negative correlation look like on a scatterplot?

Back

In a scatterplot, a negative correlation appears as a pattern where points trend downwards from left to right.

Front

What does no correlation look like on a scatterplot?

Back

In a scatterplot with no correlation, the points are scattered randomly without any discernible pattern.

Front

How can you estimate the correlation coefficient from a scatterplot?

Back

You can estimate the correlation coefficient by observing the direction and strength of the trend in the scatterplot. A strong trend indicates a correlation close to 1 or -1, while a weak trend indicates a correlation closer to 0.

Front

What is the range of correlation coefficients?

Back

The range of correlation coefficients is from -1 to 1.