Use the image to answer the question.

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 shows a positive linear association.
The graph shows a positive linear association.

The graph shows a negative linear association.
The graph shows a negative linear association.

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

The graph is non–linear.
The graph is non–linear.

Answer 1

The graph shows a positive linear association. This is because as the number of weeks increases, the number of laps completed by the swim team also increases in a fairly consistent and linear pattern.

Answer 2

Use the image to answer the question.
An illustration shows a scatterplot with the x-axis and the y-axis labeled. Eight points are plotted on the graph in a downward sloping direction from top left to bottom right.

Interpret the scatterplot to determine what type of association the scatterplot shows.(1 point)
Responses

The graph shows a positive association.
The graph shows a positive association.

The scatter plot shows no association.
The scatter plot shows no association.

The graph shows a non-linear association.
The graph shows a non-linear association.

The graph shows a negative association.

Answer 3

The graph shows a negative association. This is because as the x-values increase, the corresponding y-values decrease in a downward sloping direction from top left to bottom right.

Answer 4

Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses

x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 300 700 1000 650 300 100 700x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 300 700 1000 650 300 100 700

x 5 8 2 4 6 12 10 1 3 7
y 800 700 350 450 500 1000 900 250 400 750x 5 8 2 4 6 12 10 1 3 7 y 800 700 350 450 500 1000 900 250 400 750

x 5 8 2 4 6 12 10 1 3 7
y 550 800 350 450 700 1000 900 250 400 750x 5 8 2 4 6 12 10 1 3 7 y 550 800 350 450 700 1000 900 250 400 750

x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 500 500 400 650 150 400 750

Answer 5

The scatterplot that shows a linear association is the one with the following x and y values:

x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 800, 700, 350, 450, 500, 1000, 900, 250, 400, 750

This scatterplot displays a more orderly trend where the relationship between x and y appears to be more linear compared to the other tables.

Answer 6

Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses

x 50 46 80 59 78 64 68 53 70 68
y 35 30 75 45 70 50 55 36 62 67x 50 46 80 59 78 64 68 53 70 68 y 35 30 75 45 70 50 55 36 62 67

x 50 46 98 59 78 64 68 53 70 72
y 75 71 90 55 70 100 90 25 40 76x 50 46 98 59 78 64 68 53 70 72 y 75 71 90 55 70 100 90 25 40 76

x 50 46 90 59 78 64 68 53 70 72
y 75 71 100 80 90 82 85 77 87 89x 50 46 90 59 78 64 68 53 70 72 y 75 71 100 80 90 82 85 77 87 89

x 50 46 80 59 78 64 68 53 70 68
y 90 100 57 80 60 75 72 82 70 67

Answer 7

The scatterplot that shows a non-linear association is the one with the following x and y values:

x: 50, 46, 90, 59, 78, 64, 68, 53, 70, 72
y: 75, 71, 100, 80, 90, 82, 85, 77, 87, 89

This scatterplot does not display a clear linear trend between x and y values. The relationship between the variables appears more curvilinear or non-linear in nature.

Answer 8

Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses

x 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2
y 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0x 5.0 4.6 8.5 5.9 7.8 5.3 7.0 7.2 y 12.0 9.0 15.0 11.0 13.0 8.0 14.5 10.0

x 5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2
y 3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7x 5.0 4.6 8.5 7.8 6.4 6.8 7.0 7.2 y 3.7 2.7 6.5 2.0 5.6 3.0 7.8 6.7

x 5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2
y 9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5x 5.0 4.6 5.9 7.8 6.4 6.8 5.3 7.2 y 9.5 9.0 11.0 13.0 11.5 12.0 10.0 12.5

x 5.0 4.6 8.5 7.8 6.8 5.3 7.0 7.2
y 12.0 8.5 6.0 10.0 12.0 10.0 12.0 10.0

Answer 9

The scatterplot that shows a linear association is the one with the following x and y values:

x: 5.0, 4.6, 5.9, 7.8, 6.4, 6.8, 5.3, 7.2
y: 9.5, 9.0, 11.0, 13.0, 11.5, 12.0, 10.0, 12.5

This scatterplot displays a more clear trend in which the relationship between x and y values appears to be linear and change consistently with each other.