To determine if there is a relationship between two sets of data based on their proximity to a trend line, we generally look for how closely the data points cluster around that line.
- If the data points are close to the trend line, it suggests a strong relationship between the sets. This would indicate that as one variable changes, the other tends to change in a predictable way.
- Conversely, if the data points are not close to the trend line, it suggests a weak or nonexistent relationship.
In the provided responses:
- "Yes, because the data points are close to the trend line" would indicate that a relationship exists.
- "No, because the data points are not close to the trend line" would indicate that a relationship does not exist.
Your final determination should rely on the actual plot and analysis of the data. Seeing the data points' arrangement is critical for accurately assessing the relationship. Without that context, it's hard to choose a definitive answer from the options given.