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Use the table to create a scatterplot. Determine the type of association.

This table presents the x and y values required to create scatter plots and determine the type of association.
x
25 30 80 150 250 350 425 450 500
y
375 225 120 75 50 100 175 275 400


(1 point)
Responses

no association
no association

non-linear association
non-linear association

negative linear association
negative linear association

linear association
linear association

1 answer

To determine the type of association from the provided x and y values, we can analyze the data:

Here are the (x, y) points based on the table:

  • (25, 375)
  • (30, 225)
  • (80, 120)
  • (150, 75)
  • (250, 50)
  • (350, 100)
  • (425, 175)
  • (450, 275)
  • (500, 400)

Now, let's plot these points on a scatterplot:

  1. The x-values range from 25 to 500.
  2. The y-values start high and seem to decrease, then increase again.

Analysis of the Association:

  • Initial Decrease: The y-values decrease as the x-values increase from (25, 375) to (250, 50).
  • Subsequent Increase: After that, the y-values rise significantly from (250, 50) to (500, 400).

From this pattern, we see that the relationship does not follow a straight line. Rather, the association can be described as:

  • It initially decreases (negative association) but then increases, indicating a non-linear relationship.

Conclusion:

Based on the behavior of the scatterplot and the data points, the type of association is best described as a non-linear association. Therefore, the correct response is:

non-linear association.