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 a correlation coefficient of r = 0 mean?

Back

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

Front

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

Back

A strong positive correlation appears as data points that are closely clustered around a straight line that slopes upwards.

Front

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

Back

A weak negative correlation appears as data points that are loosely scattered but generally trend downwards.

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient 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 negative correlation between the two variables.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the absolute value of the correlation coefficient: closer to 1 or -1 indicates a stronger correlation.

Front

What type of relationship does a scatterplot with no discernible pattern represent?

Back

A scatterplot with no discernible pattern represents no correlation between the variables.