Bivariate Data Analysis & Probability Unit Test

Question

3 of 163 of 16 Items

Question
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

linear association
linear association

negative linear association
negative linear association

Answer 1

To analyze the data and determine the type of association, we start by creating the scatterplot based on the provided x and y values.

Here are the data points from the table:

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

Analyzing the Data:

1. Plot the Points: You would plot the points on a graph with x values on the horizontal axis and y values on the vertical axis.

2. Observe the Trend: By examining the points:

   • From (25, 375) to (30, 225), there is a decrease in y as x increases.
   • The values continue to decrease as x increases until it reaches (250, 50).
   • After that, the values begin to rise again, from (250, 50) to (500, 400).

Conclusion on Association Type:

Given the positions of the plotted points:

• Initially, there seems to be a negative trend (downward) until (250, 50).
• From that point, there is a positive trend (upward), suggesting a sort of U-shaped relationship.

Since the overall relationship does not exhibit a clear linear pattern throughout and the values are decreasing and then increasing, we identify this as a non-linear association.

Final Answer:

non-linear association