Example 4

Which graph below is the best example of a negative correlation? (Click on each image below to check your answer.)

Interactive popup. Assistance may be required.

Scatterplot graph A shows no change in y values for increasing x values.

This graph does not go up or down. When you move your finger with the data from left to right it moves horizontal, neither increases nor decreases.Close Pop Up Interactive popup. Assistance may be required.

Scatterplot graph A shows no change in y values for increasing x values.

This graph increases when you move your finger with the data from left to right.Close Pop Up

Interactive popup. Assistance may be required.

Scatterplot graph C shows decreasing y values for decreasing x values

Correct! This graph decreases when you move your finger with the data from left to right.Close Pop Up Interactive popup. Assistance may be required.

Scatterplot graph D shows no pattern between x and y values.

Incorrect. This graph has too many outliers. No correlation at all.Close Pop Up


Example 5

The graph below shows the height and arm span for a group of 10 people.  Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

Scatterplot graph with height as the x axis and arm span as the y axis.  y values increase as x values increase. Interactive popup. Assistance may be required.

Check Your Answer

Positive correlation. As the height increases, the arm span increases. Close Pop Up

Example 6

The graph below shows the age of 20 people and the number of pets owned.  Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

Scatterplot graph with with age as the x axis and number of pets owned as the y axis.  There is no pattern between x and y values. Interactive popup. Assistance may be required.

Check Your Answer

No correlation. Close Pop Up