Data Associations Worksheets Grade 11

1. Emma records the number of hours studied (x) and the test score (y) for 6 students: (2, 55), (4, 60), (6, 65), (8, 70), (10, 75), (12, 80). Describe the association and trend in this bivariate data.
2. Mere is studying the relationship between the number of hours a student spends practicing a musical instrument each week and their performance score (out of 100) on a final recital. She collects data from 15 students and plots the points (hours, score): (10, 55), (12, 60), (14, 62), (16, 65), (18, 70), (20, 72), (22, 75), (24, 78), (26, 80), (28, 82), (30, 85), (32, 88), (34, 90), (36, 92), (38, 95). Describe the association (positive, negative, or none) and the trend in the data. Identify any apparent outliers or deviations from the overall pattern.
3. Emma is a data analyst studying the relationship between the number of hours a plant is exposed to sunlight each day and the number of flowers it produces. She records the following data for eight plants: (2 hours, 5 flowers), (4 hours, 10 flowers), (6 hours, 15 flowers), (8 hours, 20 flowers), (10 hours, 25 flowers), (12 hours, 30 flowers), (14 hours, 35 flowers), (16 hours, 40 flowers). Describe the association and trend between sunlight exposure and flower production.

…and 3 more problems

1. Emma records the average monthly temperature (in degrees Celsius) and the number of ice cream cones sold at her shop over 8 months. The data points are: (5, 30), (10, 50), (15, 70), (20, 100), (25, 130), (30, 160), (35, 190), (40, 220). Describe the association and trend between temperature and ice cream sales.
2. Hana is investigating the relationship between the number of hours a student spends on social media per day (x) and their average exam score (y) for a class of 22 Grade 11 students. She plots the data on a scatter plot. The data points show a clear curved pattern: as x increases from 0 to 2 hours, y decreases slowly from 88 to 82. As x increases from 2 to 6 hours, y decreases more rapidly from 82 to 48. As x increases beyond 6 hours, y continues to decrease but at a slowing rate, approaching a minimum of 30. Describe the overall association and trend between hours on social media and exam scores, including any specific features of the trend visible in the plot.
3. log₃(81) + 2sin(π/6) - 4² = ?

…and 3 more problems

1. Mere is analyzing data from a local river's ecosystem. She measures the water temperature (in degrees Celsius) at various depths (in meters) and records the following paired data: Depth (m): 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. Temperature (deg C): 22, 19, 17, 14, 12, 9, 7, 4, 2, 1, 0. Describe the type of association and trend observed between depth and temperature.
2. log₇(49) + 2cos(π/3) - 7² = ?
3. Liam is a meteorologist studying the relationship between altitude and air pressure. He collects data at various altitudes above sea level and records the corresponding air pressure in kilopascals (kPa). His data is shown in the table below: Altitude (km): 1, 3, 5, 7, 9 Air Pressure (kPa): 89, 69, 53, 41, 31 Describe the type of association (positive, negative, or none) and the trend in the relationship between altitude and air pressure based on this bivariate data. Explain what this trend means in the context of the problem.

…and 4 more problems