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.
The graph shows a linear association.
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Answer 1

To determine the type of association shown in the scatterplot, we need to observe the trend of the plotted points across the graph.

From the description:

• The points plotted show a fluctuation rather than a steady increase or decrease. For example, the attendance increases at some points (such as from day 10 to day 40) and decreases at other points (such as from day 40 to day 50).
• While some segments show an increase in attendance, others reveal a decrease, suggesting that the overall trend is not consistent.

Given this variability in the data, we can conclude that the graph is not showing a clear positive or negative linear association. Instead, it shows fluctuations which indicate a non-linear relationship.

Therefore, the correct response is:

The graph is non-linear.