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With bivariate data, there are four possible categories of data pairs. Accordingly, each person in the table can be placed into one of four categories:
a. | People with above-average arm spans and heights are in orange. |
b. | People with below-average arm spans and above-average heights are in blue. |
c. | People with below-average arm spans and heights are in purple. |
d. | People with above-average arm spans and below-average heights are in green. |
We can represent these categories similarly on the scatter plot:
a. | Points for people with above-average arm spans and heights are in orange. |
b. | Points for people with below-average arm spans and above-average heights are in blue. |
c. | Points for people with below-average arm spans and heights are in purple. |
d. | Points for people with above-average arm spans and below-average heights are in green. |
Adding both the vertical line at the mean arm span (175.5 cm) and the horizontal line at the mean height (174.8) separates the points in the scatter plot into four groups, known as quadrants:
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