1. Problem: We are asked to describe the relationship between heights and weights of 50 individuals using the correlation coefficient. 2. To find the correlation coefficient $r$, we need paired data of heights and weights. The provided data is incomplete and unclear, but assuming we have the pairs $(X_i, Y_i)$ representing height and weight respectively. 3. Formula for correlation coefficient is: $$r = \frac{n\sum XY - \sum X \sum Y}{\sqrt{\left(n\sum X^2 - (\sum X)^2\right)\left(n\sum Y^2 - (\sum Y)^2\right)}}$$ where $n$ is the number of data points. 4. Using the data (assuming it's complete and paired), you compute $\sum X$, $\sum Y$, $\sum XY$, $\sum X^2$, $\sum Y^2$, and then plug these values into the formula to find $r$. 5. Interpret $r$ value: - $r$ close to 1 indicates high positive correlation - $r$ close to -1 indicates high negative correlation - $r$ close to 0 indicates no correlation 6. Since the problem offers options with rounded two decimal places, once you compute $r$ you compare it with the options. 7. Without explicit sums and data values, the general interpretation would match the given data's trend. Answer: Assuming your calculations resulted in a positive correlation moderately strong, the correct description is **moderate positive** correlation.