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 a positive correlation indicate in a scatterplot?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation indicate in a scatterplot?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does it mean if there is no correlation in a scatterplot?

Back

No correlation means that there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is the correlation coefficient (r)?

Back

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

Front

What does an r value of 1 indicate?

Back

An r value of 1 indicates a perfect positive correlation between two variables.

Front

What does an r value of -1 indicate?

Back

An r value of -1 indicates a perfect negative correlation between two variables.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no correlation between the two variables.

Front

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

Back

A strong positive correlation is identified by points that closely follow a straight line that slopes upwards from left to right.

Front

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

Back

A strong negative correlation is identified by points that closely follow a straight line that slopes downwards from left to right.