For the following pair of variables, state whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is positive or negative. Explain your reasoning. The heights and weights of 50 randomly selected females between the ages of 1 and 21 Choose the correct answer below. A. Negative correlation because taller women tend to weigh more B. Positive correlation because taller women tend to weigh more C. The variables are not correlated

1. **Identify the Variables:** - Let \( H \) be the height of a female between ages 1 and 21. - Let \( W \) be the weight of a female between ages 1 and 21. 2. **Determine the Relationship:** - In general, as individuals grow taller, they tend to have a larger body mass. Therefore, when height increases, weight generally increases. - This indicates a direct (or positive) relationship between the two variables. 3. **Correlation Explanation:** - A positive correlation means that as one variable increases, the other variable also increases. - In this context, since taller females are expected to weigh more, the correlation is positive. 4. **Conclusion:** - The correct answer is **B. Positive correlation because taller women tend to weigh more.** Thus, based on the reasoning and the general behavior of height and weight among the given population, we conclude that there is a positive correlation between height and weight.