Use the image to answer the question.

Question

An illustration shows a scatterplot titled Attendance. The x-axis shows days ranging from 0 through 110 in increments of ten. The y-axis shows number of patrons and ranges from 600 to 800 in 25 unit increments.
Ten points are plotted on the graph. A kink is shown on both the x- and y-axes close to the origin to indicate a break in the data. The points are plotted at approximate coordinates left parenthesis 10 comma 725 right parenthesis, left parenthesis 20 comma 675 right parenthesis, left parenthesis 30 comma 700 right parenthesis, left parenthesis 40 comma 750 right parenthesis, left parenthesis 50 comma 650 right parenthesis, left parenthesis 60 comma 675 right parenthesis, left parenthesis 70 comma 700 right parenthesis, left parenthesis 80 comma 725 right parenthesis, left parenthesis 90 comma 725 right parenthesis, and left parenthesis 100 comma 650 right parenthesis.

A petting zoo graphed the average attendance of patrons every 10 days over a 100 day period of time. Interpret the scatterplot to determine what type of association the scatterplot shows.

(1 point)
Responses

The graph shows a linear association.
The graph shows a linear association.

The graph shows a positive association.
The graph shows a positive association.

The graph is non-linear.
The graph is non-linear.

The graph shows a negative association.
The graph shows a negative association.

Answer 1

To determine the type of association shown in the scatterplot based on the provided coordinates of the points:

• The points fluctuate up and down without a clear upward or downward trend overall. For example:
  • The attendance decreases between days 20 and 30.
  • It then increases again at day 40, before decreasing at day 50.
  • This pattern of rising and falling continues with no consistent trend.

Based on this analysis, the scatterplot does not show a clear positive or negative linear association. Therefore, the correct interpretation is:

The graph is non-linear.