1. 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 a positive linear association.
B. The graph shows no association.
C. The graph is non–linear.
D. The graph shows a negative linear association.
A. The graph shows a positive linear association.
A. The graph shows a negative association.
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
A. The graph shows a negative association.
B. The scatter plot shows no association.
C. The graph shows a positive association.
D. The graph shows a non-linear association.
3. Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses
A.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
B.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
C.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
D.x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 500 500 400 650 150 400 750x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 500 500 400 650 150 400 750
4. Use the tables to create scatterplots and determine which scatterplot shows a non-linear association.(1 point)
Responses
A.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
B.x 50 46 80 59 78 64 68 53 70 68
y 90 100 57 80 60 75 72 82 70 67x 50 46 80 59 78 64 68 53 70 68 y 90 100 57 80 60 75 72 82 70 67
C.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
D.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
5. Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses
A.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
B.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
C.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 10.0x 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
D.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
The scatterplot that shows a linear association is:
A. x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 550, 800, 250, 300, 700, 1000, 650, 300, 100, 700
The scatterplot that shows a non-linear association is:
C.
x: 50, 46, 80, 59, 78, 64, 68, 53, 70, 68
y: 35, 30, 75, 45, 70, 50, 55, 36, 62, 67
A.
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, 6.7
This scatterplot shows a linear association.