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

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

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

The graph shows a linear association.

Answer 1

To determine the type of association in the scatterplot, let's analyze the plotted points:

• The points show varying attendance numbers with no consistent upward or downward trend. While some points are higher or lower than others, there does not appear to be a direct correlation between the number of days and the number of patrons.

• If we look closely, certain sections of the data might show partial trends (e.g., some clusters of high and low points), but overall, the presence of both increases and decreases in attendance values indicates that the relationship does not maintain a clear direction (either consistently increasing or consistently decreasing).

Considering these observations, the most fitting response is:

The graph is non-linear.