Bivariate Patterns Worksheets Grade 8

1. (3x - 7)² = 25
2. Mason recorded the number of hours studied (x) and the test score (y) for 8 students: (2, 55), (4, 65), (6, 75), (8, 85), (10, 95), (12, 105), (14, 115), (20, 70). Describe the overall pattern of association and identify any outlier.
3. The table shows the number of hours studied and the test scores for eight students. Identify the association pattern and any outliers. Hours studied: 12, 15, 18, 20, 22, 25, 28, 30 Test scores: 55, 62, 68, 75, 80, 85, 92, 50

…and 4 more problems

1. Mere recorded the temperature (in °C) and the number of hot chocolates sold each day at her stall. The data is: (12, 48), (14, 44), (16, 40), (18, 36), (20, 32), (22, 28), (24, 24), (26, 20), (28, 16), (30, 12), (32, 8), (34, 4). Describe the pattern of association and identify any outliers.
2. Emma is tracking the relationship between the number of hours she practices piano each week and her performance score on a scale of 1-100. Her data shows that for every additional hour of practice, her score increases by 6 points. If she scored 68 when practicing for 3 hours, what would be her predicted score if she practices for 7 hours, assuming this linear relationship continues?
3. Aroha recorded the number of hours studied and the test scores for 10 students. The data is: (2, 55), (4, 65), (6, 75), (8, 85), (10, 95), (3, 58), (5, 70), (7, 80), (9, 90), (12, 100). Describe the association pattern and identify any outlier.

…and 5 more problems

1. Mason recorded the number of hours he spent studying for 10 different science quizzes and the grade he received on each quiz. The data is shown in the scatter plot: (1.5, 65), (2, 70), (2.5, 72), (3, 78), (3.5, 82), (4, 85), (4.5, 88), (5, 92), (5.5, 95), (7, 70). Describe the pattern of association between study hours and quiz grades. Identify any outlier(s) and explain why they are outliers.
2. (3x + 5)² = 121
3. A marine biologist is studying the relationship between water temperature and the number of fish observed in a coral reef. She collected data over several days and found the linear relationship can be modeled by the equation y = -12x + 240, where x represents water temperature in degrees Celsius and y represents the number of fish observed. If the water temperature reaches 18°C, how many fish would this model predict to be observed?

…and 3 more problems