Draw a line that fits the dots
Grade 8 Math Worksheet

Circle the best answer.
Ren plotted minutes of study against quiz scores for eight classmates. Four ruler lines are drawn. Which line fits the dots best?
- Line D, through (20, 65) and (50, 73)
- Line C, through (20, 65) and (90, 93)
- Line A, through (20, 74) and (90, 78)
- Line B, through (20, 62) and (90, 91.5)
Tala's class measured arm spans and heights. Everyone stretched out like a starfish. Which of the four ruler lines fits the dots best?
Scatter plot on a dot grid. Across (x): arm spans in centimeters, from 130 to 180, a tick every 5. Up (y): heights in centimeters, from 130 to 180, a tick every 5. Each dot is one classmate. The dots, left to right: (140, 145), (145, 145), (150, 154), (155, 156), (160, 163), (165, 165), (170, 173), (175, 180). Line A runs through (140, 145) and (175, 180). Line B runs through (140, 154) and (175, 165). Line C runs through (155, 156) and (160, 163). Line D runs through (140, 142) and (175, 178.5). Scatter plot on a dot grid. Across (x): arm spans in centimeters, from 130 to 180, a tick every 5. Up (y): heights in centimeters, from 130 to 180, a tick every 5. Each dot is one classmate. The dots, left to right: (140, 145), (145, 145), (150, 154), (155, 156), (160, 163), (165, 165), (170, 173), (175, 180). Line A runs through (140, 145) and (175, 180). Line B runs through (140, 154) and (175, 165). Line C runs through (155, 156) and (160, 163). Line D runs through (140, 142) and (175, 178.5). 130 135 140 145 150 155 160 165 170 175 180 130 135 140 145 150 155 160 165 170 175 180 arm spans in centimeters heights in centimeters Line A Line B Line C Line D - Line C, through (155, 156) and (160, 163)
- Line B, through (140, 154) and (175, 165)
- Line D, through (140, 142) and (175, 178.5)
- Line A, through (140, 145) and (175, 180)
Zee logged eight dog walks: minutes walked and blocks covered. The dog stopped to sniff everything. Which of the four ruler lines fits the dots best?
Scatter plot on a dot grid. Across (x): minutes of walking, from 0 to 60, a tick every 5. Up (y): blocks walked, from 0 to 40, a tick every 5. Each dot is one walk. The dots, left to right: (15, 13), (20, 13), (25, 18), (30, 19), (35, 24), (40, 25), (45, 29), (50, 34). Line A runs through (15, 13) and (30, 19). Line B runs through (15, 13) and (50, 34). Line C runs through (15, 11.5) and (50, 32.5). Line D runs through (15, 19) and (50, 25). Scatter plot on a dot grid. Across (x): minutes of walking, from 0 to 60, a tick every 5. Up (y): blocks walked, from 0 to 40, a tick every 5. Each dot is one walk. The dots, left to right: (15, 13), (20, 13), (25, 18), (30, 19), (35, 24), (40, 25), (45, 29), (50, 34). Line A runs through (15, 13) and (30, 19). Line B runs through (15, 13) and (50, 34). Line C runs through (15, 11.5) and (50, 32.5). Line D runs through (15, 19) and (50, 25). 0 5 10 15 20 25 30 35 40 45 50 55 60 0 5 10 15 20 25 30 35 40 minutes of walking blocks walked Line A Line B Line C Line D Each dot is one walk. - Line B, through (15, 13) and (50, 34)
- Line D, through (15, 19) and (50, 25)
- Line C, through (15, 11.5) and (50, 32.5)
- Line A, through (15, 13) and (30, 19)
Ari timed ice cube trays left in the sun and weighed the melted water. Which of the four ruler lines fits the dots best?
Scatter plot on a dot grid. Across (x): minutes in the sun, from 0 to 40, a tick every 5. Up (y): grams of ice melted, from 0 to 100, a tick every 10. Each dot is one ice cube tray. The dots, left to right: (5, 24), (10, 28), (15, 41), (20, 48), (25, 62), (30, 69), (35, 81), (40, 94). Line A runs through (5, 20.5) and (40, 91.5). Line B runs through (5, 42) and (40, 66). Line C runs through (10, 28) and (15, 41). Line D runs through (5, 24) and (40, 94). Scatter plot on a dot grid. Across (x): minutes in the sun, from 0 to 40, a tick every 5. Up (y): grams of ice melted, from 0 to 100, a tick every 10. Each dot is one ice cube tray. The dots, left to right: (5, 24), (10, 28), (15, 41), (20, 48), (25, 62), (30, 69), (35, 81), (40, 94). Line A runs through (5, 20.5) and (40, 91.5). Line B runs through (5, 42) and (40, 66). Line C runs through (10, 28) and (15, 41). Line D runs through (5, 24) and (40, 94). 0 5 10 15 20 25 30 35 40 0 10 20 30 40 50 60 70 80 90 100 minutes in the sun grams of ice melted Line A Line B Line C Line D - Line C, through (10, 28) and (15, 41)
- Line A, through (5, 20.5) and (40, 91.5)
- Line D, through (5, 24) and (40, 94)
- Line B, through (5, 42) and (40, 66)
Bo's club drew two ruler lines through the tomato plant dots. Each line has as many dots above as below. Which line fits better, and why?
Scatter plot on a dot grid. Across (x): liters of water a week, from 0 to 20, a tick every 2. Up (y): tomato plant heights in centimeters, from 0 to 80, a tick every 10. Each dot is one tomato plant. The dots, left to right: (4, 22), (6, 31), (8, 36), (10, 44), (12, 50), (14, 54), (16, 60), (18, 67). Line A runs through (4, 23) and (18, 68). Line B runs through (10, 44) and (14, 54). Scatter plot on a dot grid. Across (x): liters of water a week, from 0 to 20, a tick every 2. Up (y): tomato plant heights in centimeters, from 0 to 80, a tick every 10. Each dot is one tomato plant. The dots, left to right: (4, 22), (6, 31), (8, 36), (10, 44), (12, 50), (14, 54), (16, 60), (18, 67). Line A runs through (4, 23) and (18, 68). Line B runs through (10, 44) and (14, 54). 0 2 4 6 8 10 12 14 16 18 20 0 10 20 30 40 50 60 70 80 liters of water a week tomato plant heights in centimeters Line A Line B - Line B, because it passes through more dots.
- Line A, because its dots stay closer to it.
- Line A, because it is steeper.
- They fit equally well, because each has as many dots above as below.
Esme tried two ruler lines on the plot of a water-bottle rocket. Each has as many dots above it as below it. Which line fits better, and why?
Scatter plot on a dot grid. Across (x): pumps of air, from 0 to 20, a tick every 2. Up (y): water rocket heights in meters, from 0 to 40, a tick every 5. Each dot is one launch. The dots, left to right: (4, 14), (6, 14), (8, 16), (10, 23), (12, 26), (14, 25), (16, 29), (18, 34). Line A runs through (10, 23) and (14, 25). Line B runs through (4, 12) and (18, 33). Scatter plot on a dot grid. Across (x): pumps of air, from 0 to 20, a tick every 2. Up (y): water rocket heights in meters, from 0 to 40, a tick every 5. Each dot is one launch. The dots, left to right: (4, 14), (6, 14), (8, 16), (10, 23), (12, 26), (14, 25), (16, 29), (18, 34). Line A runs through (10, 23) and (14, 25). Line B runs through (4, 12) and (18, 33). Scatter plot on a dot grid. Each dot is one launch. 0 2 4 6 8 10 12 14 16 18 20 0 5 10 15 20 25 30 35 40 pumps of air water rocket heights in meters Line A Line B - Line B, because it is steeper.
- They fit equally well, because each has as many dots above as below.
- Line A, because it passes through more dots.
- Line B, because its dots stay closer to it.
Jun asked eight classmates about homework time and problems finished, then tried two ruler lines. Each has as many dots above as below. Which line fits better, and why?
Scatter plot on a dot grid. Across (x): minutes spent on math homework, from 0 to 100, a tick every 10. Up (y): math problems finished, from 0 to 40, a tick every 5. Each dot is one classmate. The dots, left to right: (20, 15), (30, 15), (40, 19), (50, 19), (60, 23), (70, 23), (80, 27), (90, 27). Line A runs through (20, 14) and (90, 28). Line B runs through (50, 19) and (60, 23). Scatter plot on a dot grid. Across (x): minutes spent on math homework, from 0 to 100, a tick every 10. Up (y): math problems finished, from 0 to 40, a tick every 5. Each dot is one classmate. The dots, left to right: (20, 15), (30, 15), (40, 19), (50, 19), (60, 23), (70, 23), (80, 27), (90, 27). Line A runs through (20, 14) and (90, 28). Line B runs through (50, 19) and (60, 23). 0 10 20 30 40 50 60 70 80 90 100 0 5 10 15 20 25 30 35 40 minutes spent on math homework math problems finished A B - Line B, because it is steeper.
- Line A, because its dots stay closer to it.
- Line B, because it passes through more dots.
- They fit equally well, because each has as many dots above as below.
Kira measured eight potted plants of different ages and drew two ruler lines. Each has as many dots above as below, and one plant leans toward the window. Which line fits better, and why?
Scatter plot on a dot grid. Across (x): weeks since planting, from 0 to 20, a tick every 2. Up (y): plant heights in centimeters, from 0 to 40, a tick every 5. Each dot is one potted plant. The dots, left to right: (4, 11), (6, 12), (8, 17), (10, 18), (12, 23), (14, 24), (16, 29), (18, 30). Line A runs through (10, 18) and (12, 23). Line B runs through (4, 10) and (18, 31). Scatter plot on a dot grid. Across (x): weeks since planting, from 0 to 20, a tick every 2. Up (y): plant heights in centimeters, from 0 to 40, a tick every 5. Each dot is one potted plant. The dots, left to right: (4, 11), (6, 12), (8, 17), (10, 18), (12, 23), (14, 24), (16, 29), (18, 30). Line A runs through (10, 18) and (12, 23). Line B runs through (4, 10) and (18, 31). 0 2 4 6 8 10 12 14 16 18 20 0 5 10 15 20 25 30 35 40 weeks since planting plant heights in centimeters Line A Line B - They fit equally well, because each has as many dots above as below.
- Line A, because it passes through more dots.
- Line B, because its dots stay closer to it.
- Line A, because it is steeper.
Luz kept three plots about a growing puppy. For which plot is a straight fit line a good model?
Three scatter plots on dot grids. Plot A: a puppy's height in centimeters against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 40, a tick every 2); dots (4, 14), (6, 18), (8, 21), (10, 26), (12, 29), (14, 33), (16, 37), (18, 40). Plot B: the same puppy's weight in pounds against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 28, a tick every 2); dots (4, 5), (6, 11), (8, 16), (10, 20), (12, 23), (14, 25), (16, 26), (18, 27). Plot C: the puppy's naps in a day against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 7, a tick every 1); dots (4, 6), (6, 3), (8, 7), (10, 4), (12, 7), (14, 3), (16, 6), (18, 5). Three scatter plots on dot grids. Plot A: a puppy's height in centimeters against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 40, a tick every 2); dots (4, 14), (6, 18), (8, 21), (10, 26), (12, 29), (14, 33), (16, 37), (18, 40). Plot B: the same puppy's weight in pounds against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 28, a tick every 2); dots (4, 5), (6, 11), (8, 16), (10, 20), (12, 23), (14, 25), (16, 26), (18, 27). Plot C: the puppy's naps in a day against its age in weeks (across from 0 to 18, a tick every 1; up from 0 to 7, a tick every 1); dots (4, 6), (6, 3), (8, 7), (10, 4), (12, 7), (14, 3), (16, 6), (18, 5). Plot A a puppy's height in centimeters against its age in weeks 0 2 4 6 8 10 12 14 16 18 0 8 16 24 32 40 Plot B the same puppy's weight in pounds against its age in weeks 0 2 4 6 8 10 12 14 16 18 0 4 8 12 16 20 24 28 Plot C the puppy's naps in a day against its age in weeks 0 2 4 6 8 10 12 14 16 18 0 1 2 3 4 5 6 7 - Plot B, because its dots change steadily from left to right.
- Plot A, because its dots stay near one straight line.
- Plot C, because a ruler line can go through the middle of any dots.
Noah's play-ball club made three plots, and one ball rolled under the bleachers. For which plot is a straight fit line a good model?
Three scatter plots on dot grids. Plot A: toss distance in meters against the thrower's shirt number (across from 0 to 8, a tick every 1; up from 0 to 8, a tick every 1); dots (1, 7), (2, 4), (3, 8), (4, 5), (5, 3), (6, 8), (7, 4), (8, 6). Plot B: a tossed ball's height in feet against tenths of a second after the throw (across from 0 to 16, a tick every 1; up from 0 to 14, a tick every 1); dots (2, 9), (4, 12), (6, 14), (8, 14), (10, 13), (12, 11), (14, 7), (16, 3). Plot C: ball-toss distance in meters against practice sessions (across from 0 to 8, a tick every 1; up from 0 to 20, a tick every 1); dots (1, 6), (2, 8), (3, 9), (4, 12), (5, 13), (6, 16), (7, 17), (8, 20). Three scatter plots on dot grids. Plot A: toss distance in meters against the thrower's shirt number (across from 0 to 8, a tick every 1; up from 0 to 8, a tick every 1); dots (1, 7), (2, 4), (3, 8), (4, 5), (5, 3), (6, 8), (7, 4), (8, 6). Plot B: a tossed ball's height in feet against tenths of a second after the throw (across from 0 to 16, a tick every 1; up from 0 to 14, a tick every 1); dots (2, 9), (4, 12), (6, 14), (8, 14), (10, 13), (12, 11), (14, 7), (16, 3). Plot C: ball-toss distance in meters against practice sessions (across from 0 to 8, a tick every 1; up from 0 to 20, a tick every 1); dots (1, 6), (2, 8), (3, 9), (4, 12), (5, 13), (6, 16), (7, 17), (8, 20). Plot A 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 thrower's shirt number toss distance in meters Plot B 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 tenths of a second after the throw a tossed ball's height in feet Plot C 0 1 2 3 4 5 6 7 8 0 4 8 12 16 20 practice sessions ball-toss distance in meters - Plot C, because its dots stay near one straight line.
- Plot A, because a ruler line can go through the middle of any dots.
- Plot B, because its dots change steadily from left to right.