Data Regression Worksheets Grade 11

1. Kaia is studying the relationship between daily temperature and ice cream sales at her shop. She collected data for 10 days and calculated the linear regression equation as y = 9.2x + 15.8, where x is temperature in degrees Celsius and y is ice cream sales in dollars. If the temperature is forecast to be 28°C tomorrow, how many dollars in ice cream sales does the regression model predict?
2. Olivia is analyzing the relationship between the number of hours students study for their physics test and their test scores. She collected data from 7 students: (1, 65), (3, 71), (5, 77), (7, 83), (9, 89), (11, 95), (13, 101). Using linear regression, what test score would the model predict for a student who studies for 15 hours?
3. Emma is analyzing the relationship between study time and test scores. She collected data from 11 students: (1, 65), (3, 71), (5, 77), (7, 83), (9, 89), (11, 95), (13, 101), (15, 107), (17, 113), (19, 119), (21, 125). The linear regression equation for this data is y = 3x + b. What is the value of the y-intercept b?

…and 3 more problems

1. Moana is a meteorologist studying the relationship between temperature (in °C) and the number of ice cream cones sold at a beach. Moana collects data for 7 days and finds that the regression line is y = 20x + 57, where x is temperature and y is number of cones sold. What does the slope 20 mean in the context of this problem?
2. Sophia is analyzing the relationship between study time and test scores. She collects data from 6 students: (1, 66), (2, 71), (3, 76), (4, 81), (5, 86), (6, 91) where x represents hours studied and y represents test score. Using linear regression, what test score would the model predict for a student who studies 7 hours?
3. Mason is analyzing the relationship between study time and test scores. He collected data from 10 students and found the linear regression equation: y = 2.8x + 72.5, where x represents study time in hours and y represents test score. If Isabella studied for 9 hours, what test score does the regression model predict for her?

…and 3 more problems

1. Mere is analyzing the relationship between study time and test scores for her math class. She collected data from 8 students and found the linear regression equation to be y = 2.4x + 68, where x represents study time in hours and y represents the test score. If a student studies for 6 hours, what test score does the regression model predict?
2. Sophia is studying the relationship between the number of hours students spend practicing guitar each week and their performance scores on a music assessment. She collected data from 6 students: (1, 71), (2, 76), (3, 81), (4, 86), (5, 91), (6, 96). Using linear regression, what performance score would the model predict for a student who practices 7 hours per week?
3. Emma is analyzing the relationship between study time and test scores. She collects data from 5 students: Student A studied 15 minutes and scored 55, Student B studied 30 minutes and scored 70, Student C studied 45 minutes and scored 85, Student D studied 60 minutes and scored 100, and Student E studied 75 minutes and scored 115. Using linear regression, what test score would Emma predict for a student who studies 90 minutes?

…and 3 more problems