Scatter plots: patterns of association
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Each evening at the outdoor ice rink, Luz noted the temperature and the cups of cocoa poured. A ruler line is drawn through the middle of the dots. Which sentence describes the association?
- A negative association: as the outside temperature goes up, the number of cups poured tends to go down.
- No association: as the outside temperature goes up, the number of cups poured tends neither to go up nor to go down.
- A positive association: as the outside temperature goes up, the number of cups poured tends to go up.
Noah dropped a play ball from different heights and measured each bounce. A ruler line is drawn through the middle of the dots. Which sentence describes the association?
Scatter plot on a dot grid. Across (x): drop heights in centimeters, from 40 to 130, a tick every 10. Up (y): bounce heights in centimeters, from 20 to 80, a tick every 10. Each dot is one drop. The dots, left to right: (50, 31), (60, 35), (70, 44), (80, 47), (90, 55), (100, 59), (110, 67), (120, 71). A ruler line is drawn through the middle of the dots, from (50, 30) to (120, 72). Scatter plot on a dot grid. Across (x): drop heights in centimeters, from 40 to 130, a tick every 10. Up (y): bounce heights in centimeters, from 20 to 80, a tick every 10. Each dot is one drop. The dots, left to right: (50, 31), (60, 35), (70, 44), (80, 47), (90, 55), (100, 59), (110, 67), (120, 71). A ruler line is drawn through the middle of the dots, from (50, 30) to (120, 72). 40 50 60 70 80 90 100 110 120 130 20 30 40 50 60 70 80 drop heights in centimeters bounce heights in centimeters ruler line - A positive association: as the drop height goes up, the bounce height tends to go up.
- No association: as the drop height goes up, the bounce height tends neither to go up nor to go down.
- A negative association: as the drop height goes up, the bounce height tends to go down.
Pia measured the shoe length and height of eight classmates. Nobody was allowed to stand on tiptoe. Which sentence describes the association?
Scatter plot on a dot grid. Across (x): shoe lengths in centimeters, from 20 to 29, a tick every 1. Up (y): heights in centimeters, from 130 to 180, a tick every 5. Each dot is one classmate. The dots, left to right: (21, 138), (22, 140), (23, 149), (24, 152), (25, 162), (26, 164), (27, 173), (28, 176). Scatter plot on a dot grid. Across (x): shoe lengths in centimeters, from 20 to 29, a tick every 1. Up (y): heights in centimeters, from 130 to 180, a tick every 5. Each dot is one classmate. The dots, left to right: (21, 138), (22, 140), (23, 149), (24, 152), (25, 162), (26, 164), (27, 173), (28, 176). 20 21 22 23 24 25 26 27 28 29 130 135 140 145 150 155 160 165 170 175 180 shoe lengths in centimeters heights in centimeters - A negative association: as the shoe length goes up, the height tends to go down.
- A positive association: as the shoe length goes up, the height tends to go up.
- No association: as the shoe length goes up, the height tends neither to go up nor to go down.
During a long practice, Ren checked the water left in a bottle every ten minutes. The bottle got lighter and lighter. Which sentence describes the association?
Scatter plot on a dot grid. Across (x): minutes into practice, from 0 to 90, a tick every 10. Up (y): ounces of water left, from 0 to 30, a tick every 5. Each dot is one check. The dots, left to right: (10, 24), (20, 19), (30, 18), (40, 13), (50, 12), (60, 7), (70, 6), (80, 2). Scatter plot on a dot grid. Across (x): minutes into practice, from 0 to 90, a tick every 10. Up (y): ounces of water left, from 0 to 30, a tick every 5. Each dot is one check. The dots, left to right: (10, 24), (20, 19), (30, 18), (40, 13), (50, 12), (60, 7), (70, 6), (80, 2). 0 10 20 30 40 50 60 70 80 90 0 5 10 15 20 25 30 minutes into practice ounces of water left - A positive association: as the practice time goes up, the amount of water left tends to go up.
- No association: as the practice time goes up, the amount of water left tends neither to go up nor to go down.
- A negative association: as the practice time goes up, the amount of water left tends to go down.
At a dog-training class, Zee wrote down each dog's weight and how many tricks it knows. One small dog can take a bow. Which sentence describes the association?
Scatter plot on a dot grid. Across (x): dog weights in pounds, from 10 to 60, a tick every 5. Up (y): tricks known, from 0 to 8, a tick every 1. Each dot is one dog. The dots, left to right: (12, 6), (18, 3), (25, 7), (30, 2), (38, 5), (45, 7), (52, 4), (60, 3). Scatter plot on a dot grid. Across (x): dog weights in pounds, from 10 to 60, a tick every 5. Up (y): tricks known, from 0 to 8, a tick every 1. Each dot is one dog. The dots, left to right: (12, 6), (18, 3), (25, 7), (30, 2), (38, 5), (45, 7), (52, 4), (60, 3). 10 15 20 25 30 35 40 45 50 55 60 0 1 2 3 4 5 6 7 8 dog weights in pounds tricks known Each dot is one dog. - No association: as the dog's weight goes up, the number of tricks tends neither to go up nor to go down.
- A negative association: as the dog's weight goes up, the number of tricks tends to go down.
- A positive association: as the dog's weight goes up, the number of tricks tends to go up.
Bo's science group pumped a water rocket for different numbers of seconds and measured how high it flew. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): seconds of pumping, from 0 to 10, a tick every 1. Up (y): rocket heights in meters, from 0 to 30, a tick every 2. Each dot is one launch. The dots, left to right: (2, 5), (3, 8), (4, 10), (5, 13), (6, 26), (7, 18), (8, 21), (9, 23). Scatter plot on a dot grid. Across (x): seconds of pumping, from 0 to 10, a tick every 1. Up (y): rocket heights in meters, from 0 to 30, a tick every 2. Each dot is one launch. The dots, left to right: (2, 5), (3, 8), (4, 10), (5, 13), (6, 26), (7, 18), (8, 21), (9, 23). 0 1 2 3 4 5 6 7 8 9 10 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 seconds of pumping rocket heights in meters At field day, Esme checked the lemonade left in the cooler every ten minutes. Near the end, a helper mixed a fresh batch. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): minutes since field day started, from 0 to 90, a tick every 10. Up (y): cups of lemonade left in the cooler, from 0 to 35, a tick every 5. Each dot is one check. The dots, left to right: (10, 30), (20, 27), (30, 23), (40, 20), (50, 16), (60, 13), (70, 10), (80, 29). Scatter plot on a dot grid. Across (x): minutes since field day started, from 0 to 90, a tick every 10. Up (y): cups of lemonade left in the cooler, from 0 to 35, a tick every 5. Each dot is one check. The dots, left to right: (10, 30), (20, 27), (30, 23), (40, 20), (50, 16), (60, 13), (70, 10), (80, 29). 0 10 20 30 40 50 60 70 80 90 0 5 10 15 20 25 30 35 minutes since field day started cups of lemonade left in the cooler Jun rode eight bike routes and timed each one. One route was downhill with the wind behind it. Which point is the outlier, written as (x, y)?
Scatter plot on a dot grid. Across (x): route lengths in kilometers, from 0 to 18, a tick every 1. Up (y): ride times in minutes, from 0 to 60, a tick every 5. Each dot is one ride. The dots, left to right: (2, 8), (4, 15), (6, 23), (8, 29), (10, 35), (12, 28), (14, 54), (16, 53). Scatter plot on a dot grid. Across (x): route lengths in kilometers, from 0 to 18, a tick every 1. Up (y): ride times in minutes, from 0 to 60, a tick every 5. Each dot is one ride. The dots, left to right: (2, 8), (4, 15), (6, 23), (8, 29), (10, 35), (12, 28), (14, 54), (16, 53). 0 2 4 6 8 10 12 14 16 18 0 5 10 15 20 25 30 35 40 45 50 55 60 route lengths in kilometers ride times in minutes At the dog park, Pia recorded each dog's weight and height. The dots form two clusters. How many dogs are in the cluster of big dogs?
Scatter plot on a dot grid. Across (x): weights in pounds, from 0 to 80, a tick every 5. Up (y): heights at the shoulder in inches, from 0 to 30, a tick every 2. Each dot is one dog. The dots, left to right: (14, 11), (16, 12), (18, 13), (19, 12), (21, 11), (22, 13), (62, 24), (66, 23), (70, 26), (73, 25). Scatter plot on a dot grid. Across (x): weights in pounds, from 0 to 80, a tick every 5. Up (y): heights at the shoulder in inches, from 0 to 30, a tick every 2. Each dot is one dog. The dots, left to right: (14, 11), (16, 12), (18, 13), (19, 12), (21, 11), (22, 13), (62, 24), (66, 23), (70, 26), (73, 25). 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 weights in pounds heights at the shoulder in inches Ren weighed and measured a basket of lemons and oranges. The dots form two clusters. How many fruits are in the cluster of heavier fruits?
Scatter plot on a dot grid. Across (x): weights in grams, from 80 to 240, a tick every 10. Up (y): widths in millimeters, from 50 to 85, a tick every 5. Each dot is one fruit. The dots, left to right: (95, 56), (100, 58), (106, 57), (111, 60), (115, 59), (119, 61), (182, 73), (190, 76), (198, 74), (205, 78), (213, 77), (221, 80), (228, 79). Scatter plot on a dot grid. Across (x): weights in grams, from 80 to 240, a tick every 10. Up (y): widths in millimeters, from 50 to 85, a tick every 5. Each dot is one fruit. The dots, left to right: (95, 56), (100, 58), (106, 57), (111, 60), (115, 59), (119, 61), (182, 73), (190, 76), (198, 74), (205, 78), (213, 77), (221, 80), (228, 79). 80 100 120 140 160 180 200 220 240 50 55 60 65 70 75 80 85 weights in grams widths in millimeters