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)?
Table, jump distance in centimeters | run-up steps
150 | 3, 175 | 5, 190 | 7, 205 | 9. On the scatter plot, the run-up steps go across (x) and the jump distances go up (y).
Noah's table gives each long-jump distance first, then the number of run-up steps. Where does the dot for the 7-step jump 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?
- A positive association: as the number of hours goes up, the snowman's height tends to go up.
- 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.
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 linear association: the dots tend to stay near one straight ruler line.
- A nonlinear association: the dots tend to follow a curve, not one straight line.
- No association: the dots tend to show no clear pattern.
Tala weighed a puppy every four weeks. The puppy now thinks the couch belongs to it. Which sentence describes the pattern of the dots?
Scatter plot on a dot grid. Across (x): puppy's age in weeks, from 0 to 36, a tick every 2. Up (y): weights in pounds, from 0 to 40, a tick every 2. Each dot is one weigh-in. The dots, left to right: (4, 5), (8, 12), (12, 20), (16, 26), (20, 30), (24, 32), (28, 33), (32, 34). Scatter plot on a dot grid. Across (x): puppy's age in weeks, from 0 to 36, a tick every 2. Up (y): weights in pounds, from 0 to 40, a tick every 2. Each dot is one weigh-in. The dots, left to right: (4, 5), (8, 12), (12, 20), (16, 26), (20, 30), (24, 32), (28, 33), (32, 34). 0 4 8 12 16 20 24 28 32 36 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 puppy's age in weeks weights in pounds - 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.
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 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.
Tala plotted hours of practice a week against free throws made for eight players. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): hours of practice a week, from 0 to 10, a tick every 1. Up (y): free throws made out of 20, from 0 to 20, a tick every 2. Each dot is one player. The dots, left to right: (1, 6), (2, 13), (3, 9), (4, 10), (5, 12), (6, 13), (7, 15), (8, 14). Scatter plot on a dot grid. Across (x): hours of practice a week, from 0 to 10, a tick every 1. Up (y): free throws made out of 20, from 0 to 20, a tick every 2. Each dot is one player. The dots, left to right: (1, 6), (2, 13), (3, 9), (4, 10), (5, 12), (6, 13), (7, 15), (8, 14). 0 1 2 3 4 5 6 7 8 9 10 0 2 4 6 8 10 12 14 16 18 20 hours of practice a week free throws made out of 20 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