Correlation Quick Check

Question

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Question
Use the image to answer the question.
An illustration shows a scatterplot titled Number of Laps the Swim Team Completes Per Week. The x-axis shows weeks ranging from 1 through 10 in increments of one. The y-axis shows number of laps and ranges from 100 to 1,000 in 100 unit increments.
Eight 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 1 comma 50 right parenthesis, left parenthesis 2 comma 150 right parenthesis, left parenthesis 3 comma 200 right parenthesis, left parenthesis 4 comma 300 right parenthesis, left parenthesis 5 comma 500 right parenthesis, left parenthesis 6 comma 600 right parenthesis, left parenthesis 7 comma 700 right parenthesis, and left parenthesis 8 comma 800 right parenthesis.

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 linear association.
The graph shows a positive linear association.

The graph shows no association.
The graph shows no association.

The graph shows a negative linear association.
The graph shows a negative linear association.
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page 22 of 23

Answer 1

From your description of the scatterplot titled "Number of Laps the Swim Team Completes Per Week," it appears that as the number of weeks increases (from 1 to 8), the number of laps completed by the swim team also increases, with the relationship showing a clear upward trend. However, the relationship is not consistent; the points seem to increase at a varying rate.

Given the coordinates:

• (1, 50)
• (2, 150)
• (3, 200)
• (4, 300)
• (5, 500)
• (6, 600)
• (7, 700)
• (8, 800)

The increase in the number of laps is not uniform (e.g., the increase from 4 to 5 weeks is larger than other intervals). This suggests a non-linear relationship.

Therefore, the correct interpretation of the scatterplot is:

The graph is non-linear.