A study of bone density on 55 random women at a hospital produced the following results.

Age

3737

5353

5757

6161

6969

Bone Density

355355

350350

335335

330330

325325

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Step 2 of 3:

Estimate the correlation in words: positive, negative, no correlation.

The given data pairs the age of women with their corresponding bone density measurements. As the age of the women increases, the bone density decreases. This indicates a **negative correlation** because there is a downward trend, suggesting that as one variable (age) increases, the other variable (bone density) tends to decrease.

Would you like to calculate the exact correlation coefficient or explore this data further?

Here are 5 related questions to expand on this topic:
1. How do you calculate the correlation coefficient mathematically?
2. What does a correlation coefficient value tell you about the strength of the relationship?
3. Can you explain what a perfect negative correlation would look like on a graph?
4. What are other factors that might affect bone density besides age?
5. How can we use regression analysis to predict bone density based on age?

**Tip:** A correlation only measures the strength of a linear relationship. Non-linear trends won't be captured accurately by correlation alone.

A study of bone density on 55 random women at a hospital produced the following results.

Age
3737
5353
5757
6161
6969

Bone Density
355355
350350
335335
330330
325325

Step 2 of 3: Estimate the correlation in words: positive, negative, no correlation.

Explore how age and bone density are related through a negative correlation in a study of 55 random women. Learn about the mathematical concepts of correlation, and use formulas like Pearson's correlation coefficient to analyze the relationship between age and bone density. Suitable for high school students in Grades 9-12.

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