Correlation Quick Check
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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
a The graph shows no association.
b The graph shows a negative linear association.
c The graph is non–linear.
d The graph shows a positive linear association.
d The graph shows a positive linear association.
To determine the type of association shown in the scatterplot, we need to analyze the pattern of the points. Looking at the plot, we can see that the points are roughly forming a straight line that slopes upwards from left to right. This indicates a positive linear association.
Therefore, the correct answer is: d The graph shows a positive linear association.
To interpret the scatterplot and determine the type of association it shows, you need to observe the overall pattern of the points on the graph. Here's how you can do that:
1. Look at the direction of the points: Are they clustered in a particular direction or scattered randomly?
2. Check for any consistent pattern: Are the points forming a straight line or curving in some way?
3. Consider the overall trend: Are the points generally increasing or decreasing as you move along the x-axis?
In this specific scatterplot, the points are generally following an upward trend and are clustered in a positive direction. This indicates that as the weeks increase, the number of laps completed by the swim team also increases. Therefore, the scatterplot shows a positive linear association.
So, the correct answer would be (d) The graph shows a positive linear association.