Scatter plots: patterns of association
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Noah's music club plotted minutes of guitar practice a day against chord changes made in one minute. Which answer names the association and gives a good reason?
- A positive association, because a ruler line through the middle of the dots rises from left to right.
- No association, because 10 dots are too few to show a pattern.
- A negative association, because a ruler line through the middle of the dots rises from left to right.
- No association, because the dots do not all lie exactly on one line.
Pia's running club timed one lap each week of training and plotted the results. The club's cheer got louder every week. Which answer names the association and gives a good reason?
Scatter plot on a dot grid. Across (x): weeks of training, from 0 to 11, a tick every 1. Up (y): seconds to run one lap, from 70 to 105, a tick every 5. Each dot is one week. The dots, left to right: (1, 99), (2, 95), (3, 94), (4, 93), (5, 89), (6, 88), (7, 85), (8, 85), (9, 82), (10, 80). Scatter plot on a dot grid. Across (x): weeks of training, from 0 to 11, a tick every 1. Up (y): seconds to run one lap, from 70 to 105, a tick every 5. Each dot is one week. The dots, left to right: (1, 99), (2, 95), (3, 94), (4, 93), (5, 89), (6, 88), (7, 85), (8, 85), (9, 82), (10, 80). 0 1 2 3 4 5 6 7 8 9 10 11 70 75 80 85 90 95 100 105 weeks of training seconds to run one lap - A positive association, because a ruler line through the middle of the dots falls from left to right.
- A negative association, because a ruler line through the middle of the dots falls from left to right.
- No association, because the dots do not all lie exactly on one line.
- No association, because 10 dots are too few to show a pattern.
Ren plotted ten classmates' heights against the minutes each took to finish a paper maze. Which answer names the association and gives a good reason?
Scatter plot on a dot grid. Across (x): heights in inches, from 54 to 70, a tick every 1. Up (y): minutes to finish the maze, from 0 to 10, a tick every 1. Each dot is one classmate. The dots, left to right: (55, 6), (57, 9), (58, 4), (60, 8), (61, 3), (63, 7), (64, 5), (66, 9), (67, 4), (69, 8). Scatter plot on a dot grid. Across (x): heights in inches, from 54 to 70, a tick every 1. Up (y): minutes to finish the maze, from 0 to 10, a tick every 1. Each dot is one classmate. The dots, left to right: (55, 6), (57, 9), (58, 4), (60, 8), (61, 3), (63, 7), (64, 5), (66, 9), (67, 4), (69, 8). 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 0 1 2 3 4 5 6 7 8 9 10 heights in inches minutes to finish the maze - A positive association, because the right-most dot sits higher than the left-most dot.
- No association, because the left half and the right half of the dots spread over about the same y-values.
- A negative association, because a ruler line through the middle of the dots falls from left to right.
Ari tossed a play ball straight up, filmed it, and plotted its height every two tenths of a second. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): time in tenths of a second, from 0 to 20, a tick every 2. Up (y): ball heights in feet, from 0 to 24, a tick every 2. Each dot is one video frame. The dots, left to right: (2, 11), (4, 15), (6, 18), (8, 20), (10, 21), (12, 20), (14, 18), (16, 15), (18, 11). Scatter plot on a dot grid. Across (x): time in tenths of a second, from 0 to 20, a tick every 2. Up (y): ball heights in feet, from 0 to 24, a tick every 2. Each dot is one video frame. The dots, left to right: (2, 11), (4, 15), (6, 18), (8, 20), (10, 21), (12, 20), (14, 18), (16, 15), (18, 11). 0 2 4 6 8 10 12 14 16 18 20 0 2 4 6 8 10 12 14 16 18 20 22 24 time in tenths of a second ball heights in feet - A linear association: the dots tend to stay near one straight ruler line, with no bend.
- No association: the dots tend to show no clear pattern.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
Bo counted the kids on the playground each hour after the park opened. It was the first warm day in weeks. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): hours after the park opens, from 0 to 11, a tick every 1. Up (y): kids on the playground, from 0 to 36, a tick every 2. Each dot is one count. The dots, left to right: (1, 8), (2, 15), (3, 24), (4, 30), (5, 33), (6, 31), (7, 25), (8, 17), (9, 10), (10, 6). Scatter plot on a dot grid. Across (x): hours after the park opens, from 0 to 11, a tick every 1. Up (y): kids on the playground, from 0 to 36, a tick every 2. Each dot is one count. The dots, left to right: (1, 8), (2, 15), (3, 24), (4, 30), (5, 33), (6, 31), (7, 25), (8, 17), (9, 10), (10, 6). 0 1 2 3 4 5 6 7 8 9 10 11 0 4 8 12 16 20 24 28 32 36 hours after the park opens kids on the playground - A nonlinear association: the dots tend to follow a curve, not one straight line.
- No association: the dots tend to show no clear pattern.
- A linear association: the dots tend to stay near one straight ruler line, going up steadily.
Kira put a cup of juice in the freezer to make ice pops and checked its temperature every ten minutes. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): minutes in the freezer, from 0 to 80, a tick every 5. Up (y): juice temperatures in °F, from 20 to 75, a tick every 5. Each dot is one reading. The dots, left to right: (0, 70), (10, 52), (20, 41), (30, 35), (40, 33), (50, 32), (60, 32), (70, 31). Scatter plot on a dot grid. Across (x): minutes in the freezer, from 0 to 80, a tick every 5. Up (y): juice temperatures in °F, from 20 to 75, a tick every 5. Each dot is one reading. The dots, left to right: (0, 70), (10, 52), (20, 41), (30, 35), (40, 33), (50, 32), (60, 32), (70, 31). 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 20 25 30 35 40 45 50 55 60 65 70 75 minutes in the freezer juice temperatures in degF Each dot is one reading. - A linear association: the dots tend to stay near one straight ruler line, going down steadily.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
- No association: the dots tend to show no clear pattern.
Kira measured a tomato plant every week for twelve weeks. One week, the ruler slipped. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): weeks of growing, from 0 to 13, a tick every 1. Up (y): plant heights in centimeters, from 0 to 40, a tick every 2. Each dot is one week. The dots, left to right: (1, 4), (2, 7), (3, 11), (4, 13), (5, 17), (6, 30), (7, 23), (8, 27), (9, 29), (10, 33), (11, 37), (12, 36). Scatter plot on a dot grid. Across (x): weeks of growing, from 0 to 13, a tick every 1. Up (y): plant heights in centimeters, from 0 to 40, a tick every 2. Each dot is one week. The dots, left to right: (1, 4), (2, 7), (3, 11), (4, 13), (5, 17), (6, 30), (7, 23), (8, 27), (9, 29), (10, 33), (11, 37), (12, 36). 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 4 8 12 16 20 24 28 32 36 40 weeks of growing plant heights in centimeters At the harbor, Zee measured sailboat lengths and mast heights. One dot is an outlier. How many boats are in the cluster of bigger boats?
Scatter plot on a dot grid. Across (x): boat lengths in feet, from 10 to 46, a tick every 2. Up (y): mast heights in feet, from 16 to 60, a tick every 4. Each dot is one boat. The dots, left to right: (14, 19), (16, 22), (17, 20), (18, 25), (20, 23), (34, 46), (35, 51), (37, 48), (38, 24), (39, 53), (40, 49), (42, 55). Scatter plot on a dot grid. Across (x): boat lengths in feet, from 10 to 46, a tick every 2. Up (y): mast heights in feet, from 16 to 60, a tick every 4. Each dot is one boat. The dots, left to right: (14, 19), (16, 22), (17, 20), (18, 25), (20, 23), (34, 46), (35, 51), (37, 48), (38, 24), (39, 53), (40, 49), (42, 55). 12 16 20 24 28 32 36 40 44 16 20 24 28 32 36 40 44 48 52 56 60 boat lengths in feet mast heights in feet Each dot is one boat. Two classes grew bean plants and plotted days against height. Plot A is Ari's class. Which answer is right, with a good reason?
Two scatter plots, each on its own dot grid. On both, across (x): days since planting, from 0 to 10, a tick every 1; up (y): heights in centimeters, from 0 to 30, a tick every 2. Each dot is one measurement. Plot A (Ari's class): (2, 5), (3, 5), (4, 8), (5, 11), (6, 11), (7, 14), (8, 17), (9, 17); ruler line from (2, 4) to (9, 18). Plot B (the class next door): (2, 11), (3, 3), (4, 16), (5, 10), (6, 24), (7, 17), (8, 29), (9, 21); ruler line from (2, 6) to (9, 27). Two scatter plots, each on its own dot grid. On both, across (x): days since planting, from 0 to 10, a tick every 1; up (y): heights in centimeters, from 0 to 30, a tick every 2. Each dot is one measurement. Plot A (Ari's class): (2, 5), (3, 5), (4, 8), (5, 11), (6, 11), (7, 14), (8, 17), (9, 17); ruler line from (2, 4) to (9, 18). Plot B (the class next door): (2, 11), (3, 3), (4, 16), (5, 10), (6, 24), (7, 17), (8, 29), (9, 21); ruler line from (2, 6) to (9, 27). Plot A (Ari's class) 0 2 4 6 8 10 0 4 8 12 16 20 24 28 days since planting heights in centimeters Plot B (the class next door) 0 2 4 6 8 10 0 4 8 12 16 20 24 28 days since planting heights in centimeters - Plot A shows the stronger association, because its dots stay closer to its ruler line.
- Plot B shows the stronger association, because its ruler line is steeper.
- Plot B shows the stronger association, because its dots reach higher on the grid.
- The two plots show the same strength, because each plot has 8 dots.
Two groups rolled toy cars down ramps. The first group's cars had wobbly wheels, and Plot B is Ren's group. Which answer is right, with a good reason?
Two scatter plots, each on its own dot grid. On both, across (x): ramp heights in centimeters, from 0 to 50, a tick every 5; up (y): rolling distances in feet, from 0 to 40, a tick every 2. Each dot is one roll. Plot A (the first group): (10, 17), (15, 8), (20, 18), (25, 11), (30, 20), (35, 13), (40, 22), (45, 15); ruler line from (10, 12) to (45, 19). Plot B (Ren's group): (10, 7), (15, 9), (20, 14), (25, 19), (30, 21), (35, 27), (40, 29), (45, 35); ruler line from (10, 6) to (45, 34). Two scatter plots, each on its own dot grid. On both, across (x): ramp heights in centimeters, from 0 to 50, a tick every 5; up (y): rolling distances in feet, from 0 to 40, a tick every 2. Each dot is one roll. Plot A (the first group): (10, 17), (15, 8), (20, 18), (25, 11), (30, 20), (35, 13), (40, 22), (45, 15); ruler line from (10, 12) to (45, 19). Plot B (Ren's group): (10, 7), (15, 9), (20, 14), (25, 19), (30, 21), (35, 27), (40, 29), (45, 35); ruler line from (10, 6) to (45, 34). Plot A 0 10 20 30 40 50 0 8 16 24 32 40 ramp heights in centimeters rolling distances in feet Plot B (Ren's group) 0 10 20 30 40 50 0 8 16 24 32 40 ramp heights in centimeters rolling distances in feet - The two plots show the same strength, because each plot has 8 dots.
- Plot B shows the stronger association, because its dots stay closer to its ruler line.
- Plot A shows the stronger association, because its first dot sits higher.
- Plot B shows the stronger association, because its ruler line is steeper.