Positive correlations exist between taller people and larger shoe sizes, more savings and greater financial security, and higher temperatures and increased ice cream sales. Negative correlations are seen between more absences and lower grades, colder weather and decreased air conditioning costs, and slower speeds and increased travel time. An example analyzes the highway accident relationship between motor speed and number of accidents, finding that increased speed correlates with more accidents, demonstrating how a correlation chart depicts the connection between variables.

1. CORRELATION

6. Positive Correlation
• Taller people have larger shoe sizes and shorter
people have smaller shoe sizes.
• The more money she saves, the more
financially secure she feels.
• As the temperature goes up, ice cream sales
also go up.

7. Negative Correlation
• A student who has many absences has a
decrease in grades.
• As weather gets colder, air conditioning costs
decrease.
• If a car decreases speed, travel time to a
destination increases.

13. Example
• You are analyzing accident patterns on a highway.
You select the two variables, motor speed and the
number of accidents, and draw the diagram.
• Once the diagram is complete, you notice that as
the speed of vehicles increases, the number of
accidents goes up. This shows the relationship
between the two.
• Since this diagram shows you the correlation
between the variables, many experts call it a
correlation chart.