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 B, through (20, 62) and (90, 91.5)
- Line D, through (20, 65) and (50, 73)
- Line C, through (20, 65) and (90, 93)
- Line A, through (20, 74) and (90, 78)
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 A, through (140, 145) and (175, 180)
- Line B, through (140, 154) and (175, 165)
- Line C, through (155, 156) and (160, 163)
- Line D, through (140, 142) and (175, 178.5)
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 A, through (15, 13) and (30, 19)
- 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)
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 D, through (5, 24) and (40, 94)
- Line B, through (5, 42) and (40, 66)
- Line A, through (5, 20.5) and (40, 91.5)
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 - They fit equally well, because each has as many dots above as below.
- Line A, because its dots stay closer to it.
- Line B, because it passes through more dots.
- Line B, because it is steeper.
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 B, because its dots stay closer to it.
- Line A, because it passes through more dots.
- 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 C, because a ruler line can go through the middle of any dots.
- Plot A, because its dots stay near one straight line.
At the winter fair's cocoa stand, Milo made three plots. For which plot is a straight fit line a good model?
Three scatter plots on dot grids. Plot A: cocoa temperature in °F against minutes since pouring (across from 0 to 40, a tick every 2; up from 110 to 170, a tick every 5); dots (5, 170), (10, 150), (15, 136), (20, 126), (25, 120), (30, 116), (35, 114), (40, 113). Plot B: cocoa cups poured against minutes since the stand opened (across from 0 to 40, a tick every 2; up from 0 to 36, a tick every 2); dots (5, 4), (10, 9), (15, 12), (20, 18), (25, 21), (30, 27), (35, 30), (40, 35). Plot C: marshmallows per cup against minutes since the stand opened (across from 0 to 40, a tick every 2; up from 0 to 6, a tick every 1); dots (5, 3), (10, 5), (15, 2), (20, 4), (25, 6), (30, 2), (35, 5), (40, 3). Three scatter plots on dot grids. Plot A: cocoa temperature in °F against minutes since pouring (across from 0 to 40, a tick every 2; up from 110 to 170, a tick every 5); dots (5, 170), (10, 150), (15, 136), (20, 126), (25, 120), (30, 116), (35, 114), (40, 113). Plot B: cocoa cups poured against minutes since the stand opened (across from 0 to 40, a tick every 2; up from 0 to 36, a tick every 2); dots (5, 4), (10, 9), (15, 12), (20, 18), (25, 21), (30, 27), (35, 30), (40, 35). Plot C: marshmallows per cup against minutes since the stand opened (across from 0 to 40, a tick every 2; up from 0 to 6, a tick every 1); dots (5, 3), (10, 5), (15, 2), (20, 4), (25, 6), (30, 2), (35, 5), (40, 3). Plot A 0 4 8 12 16 20 24 28 32 36 40 110 115 120 125 130 135 140 145 150 155 160 165 170 minutes since pouring cocoa temperature in degF Plot B 0 4 8 12 16 20 24 28 32 36 40 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 minutes since the stand opened cocoa cups poured Plot C 0 4 8 12 16 20 24 28 32 36 40 0 1 2 3 4 5 6 minutes since the stand opened marshmallows per cup - Plot A, because its dots change steadily from left to right.
- Plot B, 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 B, because its dots change steadily from left to right.
- Plot A, because a ruler line can go through the middle of any dots.
Pia's class kept three plant plots in the science room. For which plot is a straight fit line a good model?
Three scatter plots on dot grids. Plot A: a bean plant's height in centimeters against days (across from 0 to 16, a tick every 1; up from 0 to 32, a tick every 2); dots (2, 3), (4, 7), (6, 10), (8, 15), (10, 18), (12, 23), (14, 26), (16, 31). Plot B: the vine's flowers open each day against the day's high temperature (across from 60 to 75, a tick every 5; up from 0 to 5, a tick every 1); dots (60, 4), (62, 1), (64, 5), (66, 2), (68, 4), (70, 1), (72, 5), (74, 3). Plot C: leaves on a vine against weeks (across from 0 to 16, a tick every 1; up from 0 to 32, a tick every 2); dots (2, 2), (4, 3), (6, 4), (8, 6), (10, 9), (12, 14), (14, 21), (16, 32). Three scatter plots on dot grids. Plot A: a bean plant's height in centimeters against days (across from 0 to 16, a tick every 1; up from 0 to 32, a tick every 2); dots (2, 3), (4, 7), (6, 10), (8, 15), (10, 18), (12, 23), (14, 26), (16, 31). Plot B: the vine's flowers open each day against the day's high temperature (across from 60 to 75, a tick every 5; up from 0 to 5, a tick every 1); dots (60, 4), (62, 1), (64, 5), (66, 2), (68, 4), (70, 1), (72, 5), (74, 3). Plot C: leaves on a vine against weeks (across from 0 to 16, a tick every 1; up from 0 to 32, a tick every 2); dots (2, 2), (4, 3), (6, 4), (8, 6), (10, 9), (12, 14), (14, 21), (16, 32). Plot A 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 days a bean plant's height in centimeters Plot B 60 65 70 75 0 1 2 3 4 5 the day's high temperature the vine's flowers open each day Plot C 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 weeks leaves on a vine - Plot C, because its dots change steadily from left to right.
- Plot A, because its dots stay near one straight line.
- Plot B, because a ruler line can go through the middle of any dots.

