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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

non-linear association
non-linear association

no association
no association

negative linear association
negative linear association

linear association

1 answer

To analyze the association between the x and y values provided in your table, we can visualize the data points and identify any trends:

Here are the x and y values you provided:

| x | y | |------|-----| | 25 | 375 | | 30 | 225 | | 80 | 120 | | 150 | 75 | | 250 | 50 | | 350 | 100 | | 425 | 175 | | 450 | 275 | | 500 | 400 |

Steps to Analyze:

  1. Plot the Points:

    • When you plot the given x and y values on a scatterplot, you will place points for each pair (x, y):
      • (25, 375)
      • (30, 225)
      • (80, 120)
      • (150, 75)
      • (250, 50)
      • (350, 100)
      • (425, 175)
      • (450, 275)
      • (500, 400)

  2. Visual Examination:

    • For x increasing from 25 to 500, y decreases initially, reaches a minimum (50 at x=250), and then rises again to 400 (as x approached 500).
    • The initial decline and subsequent increase suggest a non-linear pattern.

Type of Association:

Given the shape of the plotted points, the association is not a straight line. Therefore, the type of association can be concluded as non-linear association.

Response:

The correct answer is:

non-linear association