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Bivariate Data Analysis & Probability Unit Test

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Question
Use the image to answer the 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 positive association.
The graph shows a positive association.

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

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

The graph is non-linear.
The graph is non-linear.
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1 answer

To analyze the scatterplot described, we need to look at the relationship between the number of days and the number of patrons.

By evaluating the coordinates provided:

  • (10, 725)
  • (20, 675)
  • (30, 700)
  • (40, 750)
  • (50, 650)
  • (60, 675)
  • (70, 700)
  • (80, 725)
  • (90, 725)
  • (100, 650)

We can observe the following:

  1. There is some fluctuation in the number of patrons with no clear increasing or decreasing trend overall.
  2. The values increase and decrease intermittently.

From these observations, we can conclude:

  • The graph does not show a clear positive or negative linear association because it increases at some intervals and decreases at others.
  • It seems that there are variations in the attendance that don't follow a straight line.

Thus, the most fitting interpretation based on the description would be: The graph is non-linear.