Sacha is investigating the relationship between time spent doing homework and time…
MATHEMATICS · Multi-part · AP · AP Statistics · Exploring Two-Variable Data · Exploring Two-Variable Data
Problem
Sacha is investigating the relationship between time spent doing homework and time spent on social media. In her year at school, at the time of the survey, 60% of students are aged 17 and the rest are aged 18. Sacha wants to represent both age groups fairly, so she takes a random sample of six 17-year-olds and four 18-year-olds. The results are shown in the table, showing the number of hours per day spent on each activity.| Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Time spent on social media (x) | 1.7 | 3.5 | 2.6 | 1.7 | 2.1 | 3.2 | 3.8 | 2.5 | 3.1 | 3.6 |
| Time spent on homework (y) | 4.2 | 2.1 | 3.2 | 3.5 | 4.2 | 2.5 | 0.6 | 2.5 | 2.7 | 1.5 |