Bivariate Patterns Worksheets Grade 8

1. Liam is analyzing the relationship between study time and test scores. He collected data from 8 classmates and found the linear regression equation: y = 2.5x + 65, where x represents study time in hours and y represents test scores. If a student studies for 6 hours, what score would this model predict?
2. 3² × (4 + 5) - √81 = ?
3. A scientist is studying the relationship between the number of hours students study for a math test and their test scores. The data shows that for every additional hour studied, the test score increases by 4 points. If a student who studied for 2 hours scored 72 points, write a linear equation in slope-intercept form that represents this relationship, where x represents hours studied and y represents test score.

…and 4 more problems

1. Emma is analyzing the relationship between the number of practice problems completed and math test scores in her class. She collected data from 7 students and found the line of best fit to be y = 1.8x + 68, where x represents the number of practice problems completed and y represents the test score. According to this model, what test score would be predicted for a student who completes 25 practice problems?
2. Liam is tracking the relationship between the number of hours he studies and his test scores. He recorded this data: (1, 65), (2, 70), (3, 75), (4, 80), (5, 85). When he plots the points, they appear to form a straight line. What linear equation in slope-intercept form (y = mx + b) best models the relationship between hours studied (x) and test score (y)?
3. A scientist is studying the relationship between the number of hours students study for a math test and their test scores. The data shows a linear pattern. When a student studies for 2 hours, they score 70%. When a student studies for 4 hours, they score 85%. If this linear relationship continues, what score would a student be predicted to get if they studied for 6 hours?

…and 3 more problems

1. Liam is tracking the relationship between the number of hours he studies and his test scores. He recorded this data: (1, 65), (2, 70), (3, 75), (4, 80), (5, 85). If this linear pattern continues, what test score would Liam likely get if he studies for 7 hours?
2. A scatter plot shows the relationship between hours spent practicing basketball per week and free throw percentage for 15 middle school players. The data points form a linear pattern with a positive association. The line of best fit passes through points (3, 45) and (7, 65). What is the slope of this line of best fit?
3. Emma is analyzing the relationship between daily screen time and hours of sleep for teenagers. She collected data from 7 students and created a scatter plot showing a negative linear association. The line of best fit has the equation y = -0.8x + 9.2, where x represents screen time in hours and y represents sleep in hours. According to this model, how many hours of sleep would a teenager get if they had 4 hours of screen time?

…and 4 more problems