The owner of a swimming pool wanted to know more about how the temperature affected the crowds. She collected data about the high temperature, the number of visitors, and the average length of stay at the pool each day for two weeks. The data is shown in the scatter plots.

Question

Two graphs.Short description, Two graphs.,Long description,
The first graph is entitled Number of Visitors and shows the temperature in degrees Fahrenheit on the x-axis and number of people on the y-axis. There are 14 points plotted. They are loosely grouped and have a slightly positive trend, starting at 78 degrees and 73 people and ending at 95 degrees and 118 people.

The second graph is entitled Average Length of Stay and shows the temperature in degrees Fahrenheit on the x-axis and the time in minutes on the y-axis. There are 14 points plotted. They are tightly grouped and have a positive trend, starting at 78 degrees and 60 minutes and ending at 95 degrees and 118 minutes.

Question
Which statements are supported by the data? Choose ,begin emphasis,all,end emphasis, statements that apply.

Answer options with 5 options
A.
As the temperature increases, fewer people visit the pool but the average length of stay increases.

B.
As the temperature increases, more people visit the pool but the average length of stay decreases.

C.
As the temperature increases, more people visit the pool and spend longer amounts of time in the pool.

D.
There is a stronger correlation between temperature and the number of people using the pool.

E.
There is a stronger correlation between temperature and the average length of stay.

Answer 1

Based on the descriptions of the scatter plots provided, the following statements are supported by the data:

C. As the temperature increases, more people visit the pool and spend longer amounts of time in the pool.

E. There is a stronger correlation between temperature and the average length of stay.

The reasoning is as follows:

• The first graph shows a slight positive trend indicating that as the temperature increases, the number of visitors also increases, but not strongly.
• The second graph shows a tighter grouping and a positive trend indicating that as the temperature increases, the average length of stay also increases consistently.

Thus, statements A and B are not supported, and D suggests a correlation that is not reflected in the data descriptions since the second graph indicates a stronger correlation in average length of stay.