Scatter plots: patterns of association
Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.
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Table, quiz score | minutes studied
72 | 20, 80 | 35, 88 | 45, 91 | 60. On the scatter plot, the minutes studied go across (x) and the quiz scores go up (y).
Luz's table lists each student's quiz score first, then the minutes studied. Where does the dot for the student who studied 45 minutes go, written as (x, y)?
Jun built a snowman and measured its height each hour of a sunny day. The carrot nose held on bravely. Which sentence describes the association?
- No association: as the number of hours goes up, the snowman's height tends neither to go up nor to go down.
- A negative association: as the number of hours goes up, the snowman's height tends to go down.
- A positive association: as the number of hours goes up, the snowman's height tends to go up.
Kira recorded the heights of eight classmates and their spelling scores. Which sentence describes the association?
Scatter plot on a dot grid. Across (x): heights in centimeters, from 145 to 175, a tick every 5. Up (y): spelling scores out of 20, from 0 to 20, a tick every 2. Each dot is one classmate. The dots, left to right: (148, 14), (152, 18), (155, 11), (158, 16), (161, 12), (165, 19), (168, 13), (172, 17). Scatter plot on a dot grid. Across (x): heights in centimeters, from 145 to 175, a tick every 5. Up (y): spelling scores out of 20, from 0 to 20, a tick every 2. Each dot is one classmate. The dots, left to right: (148, 14), (152, 18), (155, 11), (158, 16), (161, 12), (165, 19), (168, 13), (172, 17). 145 150 155 160 165 170 175 0 2 4 6 8 10 12 14 16 18 20 heights in centimeters spelling scores out of 20 - A negative association: as the height goes up, the spelling score tends to go down.
- A positive association: as the height goes up, the spelling score tends to go up.
- No association: as the height goes up, the spelling score tends neither to go up nor to go down.
At a walk-a-thon in the park, Pia recorded the laps walked and the minutes taken by eight walkers. One walker wore a dinosaur costume. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): laps walked, from 0 to 18, a tick every 1. Up (y): minutes taken, from 0 to 70, a tick every 5. Each dot is one walker. The dots, left to right: (2, 9), (4, 15), (6, 25), (8, 31), (10, 41), (12, 47), (14, 57), (16, 63). Scatter plot on a dot grid. Across (x): laps walked, from 0 to 18, a tick every 1. Up (y): minutes taken, from 0 to 70, a tick every 5. Each dot is one walker. The dots, left to right: (2, 9), (4, 15), (6, 25), (8, 31), (10, 41), (12, 47), (14, 57), (16, 63). 0 2 4 6 8 10 12 14 16 18 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 laps walked minutes taken - 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.
Zee poured a mug of hot cocoa and measured its temperature every five minutes. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): minutes since pouring, from 0 to 40, a tick every 5. Up (y): temperatures in °F, from 60 to 190, a tick every 10. Each dot is one reading. The dots, left to right: (0, 180), (5, 150), (10, 128), (15, 112), (20, 101), (25, 93), (30, 88), (35, 85). Scatter plot on a dot grid. Across (x): minutes since pouring, from 0 to 40, a tick every 5. Up (y): temperatures in °F, from 60 to 190, a tick every 10. Each dot is one reading. The dots, left to right: (0, 180), (5, 150), (10, 128), (15, 112), (20, 101), (25, 93), (30, 88), (35, 85). 0 5 10 15 20 25 30 35 40 60 70 80 90 100 110 120 130 140 150 160 170 180 190 minutes since pouring temperatures in degF - A linear association: the dots tend to stay near one straight ruler line.
- No association: the dots tend to show no clear pattern.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
After the lunch bell, Ari counted the kids still on the playground each minute. At one count, another class came out early. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): minutes after the bell, from 0 to 9, a tick every 1. Up (y): kids still on the playground, from 0 to 50, a tick every 5. Each dot is one count. The dots, left to right: (1, 48), (2, 42), (3, 39), (4, 33), (5, 30), (6, 47), (7, 19), (8, 16). Scatter plot on a dot grid. Across (x): minutes after the bell, from 0 to 9, a tick every 1. Up (y): kids still on the playground, from 0 to 50, a tick every 5. Each dot is one count. The dots, left to right: (1, 48), (2, 42), (3, 39), (4, 33), (5, 30), (6, 47), (7, 19), (8, 16). 0 1 2 3 4 5 6 7 8 9 0 5 10 15 20 25 30 35 40 45 50 minutes after the bell kids still on the playground Milo's baking club recorded the grams of flour and the number of cookies in each batch. One batch was giant cookies. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): grams of flour, from 50 to 500, a tick every 50. Up (y): cookies in the batch, from 0 to 40, a tick every 5. Each dot is one batch. The dots, left to right: (100, 8), (150, 12), (200, 16), (250, 21), (300, 7), (350, 28), (400, 34), (450, 33). Scatter plot on a dot grid. Across (x): grams of flour, from 50 to 500, a tick every 50. Up (y): cookies in the batch, from 0 to 40, a tick every 5. Each dot is one batch. The dots, left to right: (100, 8), (150, 12), (200, 16), (250, 21), (300, 7), (350, 28), (400, 34), (450, 33). 50 100 150 200 250 300 350 400 450 500 0 5 10 15 20 25 30 35 40 grams of flour cookies in the batch Kira timed third graders and eighth graders running 400 meters and measured their heights. The dots form two clusters. How many runners are in the cluster of taller runners?
Scatter plot on a dot grid. Across (x): heights in centimeters, from 120 to 180, a tick every 4. Up (y): seconds to run 400 meters, from 90 to 170, a tick every 10. Each dot is one runner. The dots, left to right: (128, 158), (130, 149), (131, 163), (133, 152), (135, 160), (158, 104), (161, 98), (163, 112), (166, 101), (168, 107), (170, 96), (172, 110), (174, 103). Scatter plot on a dot grid. Across (x): heights in centimeters, from 120 to 180, a tick every 4. Up (y): seconds to run 400 meters, from 90 to 170, a tick every 10. Each dot is one runner. The dots, left to right: (128, 158), (130, 149), (131, 163), (133, 152), (135, 160), (158, 104), (161, 98), (163, 112), (166, 101), (168, 107), (170, 96), (172, 110), (174, 103). 120 128 136 144 152 160 168 176 90 100 110 120 130 140 150 160 170 heights in centimeters seconds to run 400 meters Luz measured empty shells from two beaches: small clam shells and big scallop shells. The dots form two clusters. How many shells are in the cluster of smaller shells?
Scatter plot on a dot grid. Across (x): lengths in millimeters, from 48 to 88, a tick every 4. Up (y): widths in millimeters, from 36 to 64, a tick every 2. Each dot is one shell. The dots, left to right: (51, 40), (53, 42), (55, 41), (57, 43), (58, 40), (60, 44), (72, 55), (76, 58), (79, 56), (82, 60), (85, 59). Scatter plot on a dot grid. Across (x): lengths in millimeters, from 48 to 88, a tick every 4. Up (y): widths in millimeters, from 36 to 64, a tick every 2. Each dot is one shell. The dots, left to right: (51, 40), (53, 42), (55, 41), (57, 43), (58, 40), (60, 44), (72, 55), (76, 58), (79, 56), (82, 60), (85, 59). 48 52 56 60 64 68 72 76 80 84 88 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 lengths in millimeters widths in millimeters Zee measured the stems and flower widths of tulips and sunflowers in the school garden. How many flowers are in the cluster of taller flowers?
Scatter plot on a dot grid. Across (x): stem lengths in centimeters, from 0 to 200, a tick every 10. Up (y): flower widths in centimeters, from 0 to 32, a tick every 2. Each dot is one flower. The dots, left to right: (31, 12), (33, 10), (35, 13), (36, 12), (38, 10), (41, 13), (152, 24), (158, 27), (165, 25), (171, 29), (178, 28). Scatter plot on a dot grid. Across (x): stem lengths in centimeters, from 0 to 200, a tick every 10. Up (y): flower widths in centimeters, from 0 to 32, a tick every 2. Each dot is one flower. The dots, left to right: (31, 12), (33, 10), (35, 13), (36, 12), (38, 10), (41, 13), (152, 24), (158, 27), (165, 25), (171, 29), (178, 28). 0 20 40 60 80 100 120 140 160 180 200 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 stem lengths in centimeters flower widths in centimeters Each dot is one flower.