Scatter Plots Worksheets Grade 8

1. Noah is studying the relationship between the number of pages in a book and the time it takes him to read it. He records data for 10 books: (120, 4), (150, 5), (200, 7), (250, 8), (300, 10), (350, 12), (400, 13), (450, 15), (500, 17), (550, 18), where x is the number of pages and y is the reading time in hours. He creates a scatter plot of the data. Describe the association between the number of pages and reading time shown by the scatter plot. What does this association suggest?
2. (6.3 × 10⁵) ÷ (9.0 × 10²) = ?
3. Liam is studying the relationship between study time and test scores. He collected data from 8 classmates and created a scatter plot showing study time (hours) on the x-axis and test scores (percentage) on the y-axis. The scatter plot shows a positive linear association with a line of best fit equation: y = 5x + 65. If Noah studied for 3.5 hours, what test score would the line of best fit predict for him?

…and 4 more problems

1. Liam recorded the number of pages he read each day and the time (in minutes) he spent reading over a week. He collected the following data points: (10, 15), (15, 20), (20, 30), (25, 35), (30, 45), (35, 50), (40, 60), where x is pages read and y is minutes spent. If the line of best fit for this data is y = 1.5x + 0, what would be the predicted minutes spent reading for a day when Liam reads 50 pages?
2. Emma is analyzing the relationship between hours spent practicing piano each week and scores on a music performance assessment. She collected data from 12 students and created a scatter plot with practice hours on the x-axis and performance scores (out of 100) on the y-axis. The scatter plot shows a strong positive linear association. Emma calculates the line of best fit as y = 3.2x + 72. Based on this trend, what performance score would you predict for a student who practices 6 hours per week?
3. Aroha collected data on the ages (in years) and the number of books read in a year for 12 students in her class. She recorded the following pairs: (11, 9), (12, 12), (13, 14), (14, 18), (15, 22), (16, 25), (17, 30), (18, 35), (19, 38), (20, 42), (21, 45), (22, 50). She plots these points on a scatter plot with age on the x-axis and number of books read on the y-axis. Describe the association between age and number of books read, and explain what the pattern suggests.

…and 2 more problems

1. A biologist is studying the relationship between the wingspan of monarch butterflies (in millimeters) and their flight speed (in meters per second). The data shows a strong positive linear correlation. If a butterfly with a wingspan of 8.5 × 10^1 mm flies at 2.2 m/s, and a butterfly with a wingspan of 9.5 × 10^1 mm flies at 2.8 m/s, what would be the expected flight speed for a butterfly with a wingspan of 8.8 × 10^1 mm?
2. Emma records the number of pages read (x) and the time in minutes (y) for 7 books: (15, 21), (25, 35), (35, 49), (45, 63), (55, 77), (65, 91), (75, 105). Plot these points on a scatter plot and describe the association between pages read and time.
3. Emma records the number of hours studied (x) and the test score (y) for 7 students: (1, 55), (3, 65), (5, 75), (7, 85), (9, 95), (11, 105), (13, 115). Describe the association between hours studied and test score, including direction, form, and strength.

…and 3 more problems