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\( 1 \leftarrow \) 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 males between the ages of 10 and 21 Choose the correct answer below. A. Positive correlation because taller men tend to weigh more B. Negative correlation because taller men tend to weigh more C. The variables are not correlated

Ask by Mullins Ryan. in the United States
Mar 09,2025

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The heights and weights of the males are positively correlated because taller individuals tend to weigh more.

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**Step 1:** Identify the two variables: - \( \text{Height} \) - \( \text{Weight} \) **Step 2:** Understand that a \(\textbf{positive correlation}\) implies that as one variable increases, the other variable tends to increase as well. **Step 3:** Consider the subjects: Males aged between 10 and 21. In general, as height increases within this age range, weight also tends to increase due to factors such as larger body size and increased muscle mass. **Step 4:** Thus, the data likely exhibits a positive correlation since taller individuals tend to weigh more. **Answer:** \( \boxed{A. \text{Positive correlation because taller men tend to weigh more}} \)

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A. Positive correlation because taller men tend to weigh more. When looking at the heights and weights of males, especially during developmental years, it is generally observed that taller individuals often weigh more. This relationship suggests a positive correlation, as an increase in height is likely associated with an increase in weight due to factors like muscle mass, bone density, and overall body composition. Understanding the relationship between these variables can be key in fields like health and fitness. For instance, knowing that growth spurts occur during adolescence might help trainers and nutritionists develop tailored programs for young men to promote healthy weight management alongside their physical development.

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