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?
- 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.
- A positive association, because a ruler line through the middle of the dots rises from left to right.
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.
- 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.
- A negative association, because a ruler line through the middle of the dots falls from left to right.
Esme plotted the temperature at kickoff against the goals Esme's team scored in ten soccer games. Which answer names the association and gives a good reason?
Scatter plot on a dot grid. Across (x): kickoff temperatures in °F, from 40 to 95, a tick every 5. Up (y): goals scored, from 0 to 6, a tick every 1. Each dot is one game. The dots, left to right: (45, 5), (52, 2), (58, 4), (63, 1), (67, 5), (72, 3), (76, 1), (81, 4), (85, 2), (90, 3). Scatter plot on a dot grid. Across (x): kickoff temperatures in °F, from 40 to 95, a tick every 5. Up (y): goals scored, from 0 to 6, a tick every 1. Each dot is one game. The dots, left to right: (45, 5), (52, 2), (58, 4), (63, 1), (67, 5), (72, 3), (76, 1), (81, 4), (85, 2), (90, 3). 40 45 50 55 60 65 70 75 80 85 90 95 0 1 2 3 4 5 6 kickoff temperatures in degF goals scored - A positive association, because a ruler line through the middle of the dots rises from left to right.
- No association, because the left half and the right half of the dots spread over about the same y-values.
- A negative association, because the right-most dot sits lower than the left-most dot.
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.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
- No association: the dots tend to show no clear pattern.
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 linear association: the dots tend to stay near one straight ruler line, going up steadily.
- No association: the dots tend to show no clear pattern.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
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.
- No association: the dots tend to show no clear pattern.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
Tala timed twelve bike rides of different lengths. On one ride, a strong wind pushed from behind the whole way. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): ride lengths in kilometers, from 0 to 32, a tick every 2. Up (y): ride times in minutes, from 0 to 80, a tick every 5. Each dot is one ride. The dots, left to right: (4, 13), (6, 19), (8, 25), (10, 30), (12, 37), (14, 41), (16, 49), (18, 55), (20, 58), (22, 66), (24, 71), (30, 50). Scatter plot on a dot grid. Across (x): ride lengths in kilometers, from 0 to 32, a tick every 2. Up (y): ride times in minutes, from 0 to 80, a tick every 5. Each dot is one ride. The dots, left to right: (4, 13), (6, 19), (8, 25), (10, 30), (12, 37), (14, 41), (16, 49), (18, 55), (20, 58), (22, 66), (24, 71), (30, 50). 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 ride lengths in kilometers ride times in minutes 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. In the park, Luz measured trunk widths and tree heights. One dot is an outlier. How many trees are in the cluster of thinner trees?
Scatter plot on a dot grid. Across (x): trunk widths in inches, from 4 to 44, a tick every 2. Up (y): tree heights in feet, from 10 to 80, a tick every 10. Each dot is one tree. The dots, left to right: (8, 18), (9, 23), (10, 20), (11, 25), (11, 72), (13, 21), (14, 24), (31, 64), (34, 70), (36, 75), (39, 68), (41, 78). Scatter plot on a dot grid. Across (x): trunk widths in inches, from 4 to 44, a tick every 2. Up (y): tree heights in feet, from 10 to 80, a tick every 10. Each dot is one tree. The dots, left to right: (8, 18), (9, 23), (10, 20), (11, 25), (11, 72), (13, 21), (14, 24), (31, 64), (34, 70), (36, 75), (39, 68), (41, 78). 4 8 12 16 20 24 28 32 36 40 44 10 20 30 40 50 60 70 80 trunk widths in inches tree heights in feet Milo flew big kites (Plot A) and small kites (Plot B) and plotted wind speed against kite height. Which answer is right, with a good reason?
Two scatter plots, each on its own dot grid. On both, across (x): wind speeds in mph, from 0 to 10, a tick every 1; up (y): kite heights in meters, from 0 to 40, a tick every 2. Each dot is one flight. Plot A (big kites): (2, 14), (3, 7), (4, 21), (5, 14), (6, 29), (7, 23), (8, 38), (9, 31); ruler line from (2, 8) to (9, 36). Plot B (small kites): (2, 9), (3, 10), (4, 11), (5, 15), (6, 16), (7, 17), (8, 21), (9, 21); ruler line from (2, 8) to (9, 22). Two scatter plots, each on its own dot grid. On both, across (x): wind speeds in mph, from 0 to 10, a tick every 1; up (y): kite heights in meters, from 0 to 40, a tick every 2. Each dot is one flight. Plot A (big kites): (2, 14), (3, 7), (4, 21), (5, 14), (6, 29), (7, 23), (8, 38), (9, 31); ruler line from (2, 8) to (9, 36). Plot B (small kites): (2, 9), (3, 10), (4, 11), (5, 15), (6, 16), (7, 17), (8, 21), (9, 21); ruler line from (2, 8) to (9, 22). Plot A (big kites) 0 2 4 6 8 10 0 8 16 24 32 40 wind speeds in mph kite heights in meters Plot B (small kites) 0 2 4 6 8 10 0 8 16 24 32 40 wind speeds in mph kite heights in meters - Plot A shows the stronger association, because its ruler line is steeper and climbs higher.
- The two plots show the same strength, because each plot has 8 dots.
- Plot A shows the stronger association, because its dots reach higher on the grid.
- Plot B shows the stronger association, because its dots stay closer to its ruler line.