To determine the relationship between the height of people and their shoe sizes, we need to analyze the data provided:
| Height of People (cm) | Shoe Size |
|-----------------------|-----------|
| 170 | 8.5 |
| 172 | 9 |
| 174 | 9.5 |
| 176 | 10 |
| 178 | 11 |
To understand the relationship, we look at the statistical measure called the correlation coefficient. The correlation coefficient ranges between -1 and 1. A value closer to 1 indicates a strong positive linear relationship, a value closer to -1 indicates a strong negative linear relationship, and a value around 0 suggests no linear relationship.
In this case, the correlation coefficient calculated for this data set is approximately 0.986. This is very close to 1, indicating a strong positive linear relationship between the height of people and their shoe sizes. Hence, shoe sizes tend to increase as the height of people increases.
Given this high positive correlation, we can conclude that the relationship between the height of people and their shoe sizes is:
A. positive linear association with no deviations
