Data Regression Worksheets Grade 11

1. Kaia is analyzing the relationship between study time and test scores for her math class. She collected data from 11 students and found the linear regression equation to be y = 1.7x + 63, where x is study time in hours and y is the test score. If a student studied for 5 hours, what would be the predicted test score?
2. Sophia is analyzing the relationship between study time and test scores. She collected data from 8 students and found the linear regression equation to be y = 7.2x + 58.3, where x represents study time in hours and y represents the test score. If a student studies for 9 hours, what test score does the regression model predict?
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

1. Olivia is studying the relationship between study time and test scores for her math class. She collected data from 9 students and calculated the linear regression equation as y = 1.7x + 71.3, where x represents study time in hours and y represents the test score. If a student studied for 5 hours, what would be the predicted test score according to this model?
2. Tane is analyzing the relationship between study time and test scores for his math class. He collected data from 7 students and found the linear regression equation to be y = 3.5x + 65, where x represents study time in hours and y represents the test score. If a student studies for 5 hours, what test score does the regression model predict?
3. Olivia is studying the relationship between the number of hours students spend practicing piano each week and their scores on a music theory test. She collected data from 7 students and calculated the linear regression equation as y = 3.5x + 47, where x represents practice hours and y represents test scores. If a student practices for 9 hours per week, what test score does the regression model predict?

…and 3 more problems

1. 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 7 students: (8, 72), (10, 78), (12, 84), (14, 90), (16, 96), (18, 102), (20, 108). Using linear regression, what performance score would the model predict for a student who practices 15 hours per week?
2. Isabella is analyzing the relationship between study time and test scores. She collected data from 12 students and found the linear regression equation: y = 8.5x + 42, where x represents study time in hours and y represents test score. If a student studies for 9 hours, what test score does the regression model predict?
3. Aroha is studying the relationship between study time and test scores in her physics class. She collected data from 9 students and found the linear regression equation to be y = 2.4x + 71, where x represents study time in hours and y represents the test score. If a student studied for 12 hours, what test score does the regression model predict?

…and 3 more problems