Correlation Heights Weights
1. The problem asks us to describe the relationship between heights and weights of 50 individuals using the correlation coefficient.
2. The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables.
3. Based on the given choices, we identify the appropriate description by calculating or estimating the correlation.
4. Since the raw data is incomplete but suggests an increasing trend generally (heights increase with weight increments mostly), the correlation is likely positive.
5. Typical interpretation:
- $|r|$ near 0: no or negligible correlation
- $0.3 \leq |r| < 0.5$: low correlation
- $0.5 \leq |r| < 0.7$: moderate correlation
- $r \geq 0.7$: high correlation
6. Given the data pattern and options, the relationship is best described as a "moderate positive" correlation approximately $r \approx 0.65$ (rounded to two decimals).
7. Therefore, the answer is **moderate positive** correlation indicating that as height increases, weight tends to increase moderately.