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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 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.

1 answer

To determine the type of association shown in the scatterplot based on the given coordinates, we analyze the general trend of the points plotted.

The points are:

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

Looking at these points:

  • From (10, 725) to (20, 675), the value decreases.
  • From (20, 675) to (30, 700), the value increases.
  • From (30, 700) to (40, 750), the value increases.
  • From (40, 750) to (50, 650), the value decreases again.
  • The values seem to fluctuate rather than consistently increase or decrease.

This suggests that the points do not form a clear upward or downward trend and instead show a pattern of increase and decrease at various intervals.

Thus, the correct interpretation would be:

The graph is non-linear.