Draw a line that fits the dots
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Ren drew a fit line through six dots on the guitar club's plot. How good is it? What is the total of the up-or-down distances from all six dots to the line?
Tala rolled a toy car down a ramp at six heights and drew a fit line. What is the total of the up-or-down distances from all six dots to the line?
Scatter plot on a dot grid. Across (x): ramp heights in centimeters, from 0 to 70, a tick every 5. Up (y): toy car roll distances in centimeters, from 0 to 200, a tick every 10. Each dot is one roll. The dots, left to right: (20, 60), (30, 90), (40, 106), (50, 121), (60, 139), (70, 172). The fit line runs from (20, 64) to (70, 164), a straight line. Scatter plot on a dot grid. Across (x): ramp heights in centimeters, from 0 to 70, a tick every 5. Up (y): toy car roll distances in centimeters, from 0 to 200, a tick every 10. Each dot is one roll. The dots, left to right: (20, 60), (30, 90), (40, 106), (50, 121), (60, 139), (70, 172). The fit line runs from (20, 64) to (70, 164), a straight line. 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 0 20 40 60 80 100 120 140 160 180 200 ramp heights in centimeters toy car roll distances in centimeters Ari plotted six classmates' spelling practice against words spelled right and drew a fit line. What is the total of the up-or-down distances from the dots to the line?
Scatter plot on a dot grid. Across (x): minutes of spelling practice, from 0 to 70, a tick every 5. Up (y): words spelled right out of 50, from 0 to 50, a tick every 5. Each dot is one classmate. The dots, left to right: (15, 19), (25, 29), (35, 28), (45, 37), (55, 45), (65, 45). The fit line runs from (15, 21) to (65, 46), a straight line. Scatter plot on a dot grid. Across (x): minutes of spelling practice, from 0 to 70, a tick every 5. Up (y): words spelled right out of 50, from 0 to 50, a tick every 5. Each dot is one classmate. The dots, left to right: (15, 19), (25, 29), (35, 28), (45, 37), (55, 45), (65, 45). The fit line runs from (15, 21) to (65, 46), a straight line. 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 0 5 10 15 20 25 30 35 40 45 50 minutes of spelling practice words spelled right out of 50 Esme measured nine park trees: trunk width and height. One tree is a very tall pine. Which ruler line is the best fit, and why?
Scatter plot on a dot grid. Across (x): trunk widths in centimeters, from 0 to 50, a tick every 5. Up (y): tree heights in meters, from 0 to 30, a tick every 2. Each dot is one tree. The dots, left to right: (10, 9), (14, 8.5), (18, 11.5), (22, 12.5), (26, 15.5), (30, 30), (34, 18.5), (38, 21.5), (42, 25). Line A runs through (10, 9.5) and (42, 27). Line B runs through (10, 9) and (42, 25). Line C runs through (10, 6.5) and (42, 24). Scatter plot on a dot grid. Across (x): trunk widths in centimeters, from 0 to 50, a tick every 5. Up (y): tree heights in meters, from 0 to 30, a tick every 2. Each dot is one tree. The dots, left to right: (10, 9), (14, 8.5), (18, 11.5), (22, 12.5), (26, 15.5), (30, 30), (34, 18.5), (38, 21.5), (42, 25). Line A runs through (10, 9.5) and (42, 27). Line B runs through (10, 9) and (42, 25). Line C runs through (10, 6.5) and (42, 24). 0 5 10 15 20 25 30 35 40 45 50 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 trunk widths in centimeters tree heights in meters A B C - Line A, because it is pulled toward every dot, even (30, 30).
- Line B, because it joins the first and last dots.
- Line C, because it stays close to every dot except the outlier (30, 30).
Jun's play-ball club plotted practice rolls against how many of 20 rolls hit a target. One player had an amazing lucky day. Which ruler line is the best fit, and why?
Scatter plot on a dot grid. Across (x): practice rolls, from 0 to 100, a tick every 10. Up (y): target hits out of 20 rolls, from 0 to 20, a tick every 2. Each dot is one player. The dots, left to right: (10, 4), (20, 3), (30, 18), (40, 8), (50, 9), (60, 12), (70, 12), (80, 14), (90, 19). Line A runs through (10, 4) and (90, 19). Line B runs through (10, 3) and (90, 16). Line C runs through (10, 6) and (90, 19). Scatter plot on a dot grid. Across (x): practice rolls, from 0 to 100, a tick every 10. Up (y): target hits out of 20 rolls, from 0 to 20, a tick every 2. Each dot is one player. The dots, left to right: (10, 4), (20, 3), (30, 18), (40, 8), (50, 9), (60, 12), (70, 12), (80, 14), (90, 19). Line A runs through (10, 4) and (90, 19). Line B runs through (10, 3) and (90, 16). Line C runs through (10, 6) and (90, 19). 0 10 20 30 40 50 60 70 80 90 100 0 2 4 6 8 10 12 14 16 18 20 practice rolls target hits out of 20 rolls Line A Line B Line C - Line B, because it stays close to every dot except the outlier (30, 18).
- Line C, because it is pulled toward every dot, even (30, 18).
- Line A, because it joins the first and last dots.
Luz logged nine bike rides by time and distance. Is a straight fit line a good model for these dots? Which answer gives a good reason?
Scatter plot on a dot grid. Across (x): minutes of riding, from 0 to 70, a tick every 5. Up (y): kilometers ridden, from 0 to 30, a tick every 2. Each dot is one ride. The dots, left to right: (15, 5), (20, 8), (25, 9), (30, 12), (35, 13), (40, 16), (45, 17), (50, 20), (55, 21). Scatter plot on a dot grid. Across (x): minutes of riding, from 0 to 70, a tick every 5. Up (y): kilometers ridden, from 0 to 30, a tick every 2. Each dot is one ride. The dots, left to right: (15, 5), (20, 8), (25, 9), (30, 12), (35, 13), (40, 16), (45, 17), (50, 20), (55, 21). 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 minutes of riding kilometers ridden - No, because the dots follow a curve that bends.
- No, because 9 dots are too few to show a pattern.
- No, because the dots do not all sit exactly on one line.
- Yes, because the dots stay near one straight line.
Milo recorded watering times and liters used for the school garden on nine days. Is a straight fit line a good model? Which answer gives a good reason?
Scatter plot on a dot grid. Across (x): minutes of watering, from 0 to 20, a tick every 2. Up (y): liters used, from 0 to 60, a tick every 5. Each dot is one watering. The dots, left to right: (4, 13), (6, 17), (8, 25), (10, 29), (12, 37), (14, 41), (16, 49), (18, 53), (20, 61). Scatter plot on a dot grid. Across (x): minutes of watering, from 0 to 20, a tick every 2. Up (y): liters used, from 0 to 60, a tick every 5. Each dot is one watering. The dots, left to right: (4, 13), (6, 17), (8, 25), (10, 29), (12, 37), (14, 41), (16, 49), (18, 53), (20, 61). 0 2 4 6 8 10 12 14 16 18 20 0 5 10 15 20 25 30 35 40 45 50 55 60 minutes of watering liters used - No, because the dots follow a curve that bends.
- No, because 9 dots are too few to show a pattern.
- Yes, because the dots stay near one straight line.
- No, because the dots do not all sit exactly on one line.
Noah checked a cup of tea as it cooled, nine times. Is a straight fit line a good model for these dots? Which answer gives a good reason?
Scatter plot on a dot grid. Across (x): minutes since pouring, from 0 to 45, a tick every 5. Up (y): tea temperatures in °F, from 60 to 200, a tick every 10. Each dot is one reading. The dots, left to right: (5, 180), (10, 158), (15, 141), (20, 129), (25, 120), (30, 114), (35, 110), (40, 108), (45, 107). Scatter plot on a dot grid. Across (x): minutes since pouring, from 0 to 45, a tick every 5. Up (y): tea temperatures in °F, from 60 to 200, a tick every 10. Each dot is one reading. The dots, left to right: (5, 180), (10, 158), (15, 141), (20, 129), (25, 120), (30, 114), (35, 110), (40, 108), (45, 107). 0 5 10 15 20 25 30 35 40 45 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 minutes since pouring tea temperatures in degF - Yes, because a ruler line can go through the middle of any dots.
- No, because the dots show no pattern.
- Yes, because the dots change steadily from left to right.
- No, because the dots follow a curve that bends.
Pia's puppy got weighed nine times as it grew. It wiggled every time. Is a straight fit line a good model? Which answer gives a good reason?
Scatter plot on a dot grid. Across (x): puppy ages in weeks, from 0 to 40, a tick every 5. Up (y): weights in pounds, from 0 to 40, a tick every 5. Each dot is one weigh-in. The dots, left to right: (4, 5), (8, 12), (12, 19), (16, 24), (20, 28), (24, 30), (28, 32), (32, 33), (36, 33). Scatter plot on a dot grid. Across (x): puppy ages in weeks, from 0 to 40, a tick every 5. Up (y): weights in pounds, from 0 to 40, a tick every 5. Each dot is one weigh-in. The dots, left to right: (4, 5), (8, 12), (12, 19), (16, 24), (20, 28), (24, 30), (28, 32), (32, 33), (36, 33). 0 5 10 15 20 25 30 35 40 0 5 10 15 20 25 30 35 40 puppy ages in weeks weights in pounds Each dot is one weigh-in. - No, because the dots show no pattern.
- Yes, because the dots change steadily from left to right.
- No, because the dots follow a curve that bends.
- Yes, because a ruler line can go through the middle of any dots.
Ren timed nine runners and noted their shoe sizes. Is a straight fit line a good model for these dots? Which answer gives a good reason?
Scatter plot on a dot grid. Across (x): shoe sizes, from 0 to 12, a tick every 1. Up (y): seconds to run 50 meters, from 0 to 14, a tick every 1. Each dot is one runner. The dots, left to right: (3, 9), (4, 11), (5, 8), (6, 12), (7, 9), (8, 11), (9, 8), (10, 12), (11, 10). Scatter plot on a dot grid. Across (x): shoe sizes, from 0 to 12, a tick every 1. Up (y): seconds to run 50 meters, from 0 to 14, a tick every 1. Each dot is one runner. The dots, left to right: (3, 9), (4, 11), (5, 8), (6, 12), (7, 9), (8, 11), (9, 8), (10, 12), (11, 10). 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 shoe sizes seconds to run 50 meters - Yes, because the first dot is lower than the last dot.
- No, because the dots follow a curve that bends.
- No, because the dots show no clear pattern.
- Yes, because a ruler line can go through the middle of any dots.