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Priya exercises and stops every so often to record the number of steps she has taken and her heart rate. When she gets home, she creates a scatter plot showing the relationship between the number of steps and her heart rate. The correlation coefficient for the data is 0.88.
Kiran creates a scatter plot showing the relationship between the number of students attending drama club and the number of students attending poetry club each week. The correlation coefficient for the data is -0.36.
A news website shows a scatter plot with a negative relationship between the amount of sugar eaten and happiness levels. The headline reads, “Eating sugar causes happiness to decrease!”
A group of 125 college students are surveyed about their note-taking and study habits. Some results are represented in the table.
| prefer writing notes by hand | prefer typing notes | don't take notes | |
|---|---|---|---|
| study for less than 1 hour | 22 | 8 | |
| study for 1 hour or more | 38 | 28 | 3 |
How many students prefer typing notes and study for less than 1 hour?
The number of miles driven, \(x\), and the number of gallons remaining in the gas tank, \(y\), have a strong, negative relationship.
Explain what it means to have a strong, negative relationship in this context.
Technology required. Use a graphing calculator to answer the questions.
| \(x\) | \(y\) |
|---|---|
| 10.2 | 31 |
| 10.4 | 27 |
| 10.5 | 29 |
| 10.5 | 30 |
| 10.5 | 31 |
| 10.6 | 26 |
| 10.8 | 25 |
| 10.8 | 26 |
| 10.9 | 27 |
| 11 | 24 |
| 11.2 | 22 |