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 the dots do not all lie exactly on one line.
- A negative association, because a ruler line through the middle of the dots rises from left to right.
- 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.
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 - 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 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.
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 negative association, because a ruler line through the middle of the dots falls from left to right.
- 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.
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 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, with no bend.
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 - No association: the dots tend to show no clear pattern.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
- 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.
Milo's class counted the pencils left in the class box each week. One week, a helper found a lost bag of pencils. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): weeks since school started, from 0 to 13, a tick every 1. Up (y): pencils left in the class box, from 40 to 100, a tick every 5. Each dot is one week. The dots, left to right: (1, 96), (2, 91), (3, 86), (4, 83), (5, 77), (6, 74), (7, 68), (8, 88), (9, 59), (10, 55), (11, 49), (12, 46). Scatter plot on a dot grid. Across (x): weeks since school started, from 0 to 13, a tick every 1. Up (y): pencils left in the class box, from 40 to 100, a tick every 5. Each dot is one week. The dots, left to right: (1, 96), (2, 91), (3, 86), (4, 83), (5, 77), (6, 74), (7, 68), (8, 88), (9, 59), (10, 55), (11, 49), (12, 46). 0 1 2 3 4 5 6 7 8 9 10 11 12 13 40 45 50 55 60 65 70 75 80 85 90 95 100 weeks since school started pencils left in the class box 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.