Scatterplots and correlation coefficient

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does it mean if r is close to 1?

Back

If r is close to 1, it indicates a strong positive correlation, meaning as one variable increases, the other variable also increases.

Front

What does it mean if r is close to -1?

Back

If r is close to -1, it indicates a strong negative correlation, meaning as one variable increases, the other variable decreases.

Front

What does it mean if r is close to 0?

Back

If r is close to 0, it indicates no correlation, meaning there is no predictable relationship between the two variables.

Front

What is a positive correlation?

Back

A positive correlation occurs when two variables move in the same direction; as one increases, the other also increases.

Front

What is a negative correlation?

Back

A negative correlation occurs when two variables move in opposite directions; as one increases, the other decreases.

Front

What does 'no correlation' mean?

Back

No correlation means there is no relationship between the two variables, and changes in one do not affect the other.

Front

How can you visually identify a positive correlation in a scatterplot?

Back

In a scatterplot, a positive correlation is identified by points that trend upwards from left to right.

Front

How can you visually identify a negative correlation in a scatterplot?

Back

In a scatterplot, a negative correlation is identified by points that trend downwards from left to right.