(7.1) Scatter Diagrams
To conduct a study on the relationship between time spent studying and grades, 20 students in a class were surveyed.
Scroll through the survey responses and add the data to the table to create a scatter diagram.
Look at your scatter diagram and answer the following:
hours
%
%
There is evidence from the scatter diagram that as the hours of study per week increases, the average test score tends to
. This is an example of
correlation.
Example 2
The same 20 students were also asked to track how many hours they spend on their smartphones per day. The data was as follows.
| Hours of Study | Hours on Phone |
|---|---|
| 4 | 5.26 |
| 6 | 4.6 |
| 6 | 4.96 |
| 7 | 5.24 |
| 7.5 | 4.2 |
| 9 | 3.31 |
| 10 | 3.33 |
| 12 | 2.93 |
| 12 | 2.5 |
| 12 | 3.26 |
| 12.5 | 2.67 |
| 13 | 2.8 |
| 13.5 | 3.1 |
| 14 | 2.27 |
| 14 | 1.5 |
| 14.5 | 2.98 |
| 16 | 1.6 |
| 20 | 1.25 |
| 21 | 0.72 |
Copy and paste the table into the left column below.
There is evidence from the scatter diagram that as the hours of study per week increases, the hours spent on smartphones tends to . This is an example of correlation.
Example 3
The heights of the same 20 students were also measured. A scatter diagram of the data was plotted.
The scatter diagrams seems to indicate that there is correlation between hours of study and height.