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The provided image shows a handwritten dataset and a set of related statistical questions. Here's a transcription of the content to better assist you:

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**The following data are taken from a sample of 18 adult females:**

**S/NO (Age) X**  
1. 98  
2. 94  
3. 71  
4. 32  
5. 44  
6. 56  
7. 28  
8. 49  
9. 35  
10. 41  
11. 51  
12. 77  
13. 63  
14. 58  
15. 52  
16. 36  
17. 75  
18. 82  

**Data Y**  
1. 133  
2. 122  
3. 172  
4. 71  
5. 116  
6. 145  
7. 114  
8. 121  
9. 126  
10. 130  
11. 128  
12. 155  
13. 132  
14. 133  
15. 129  
16. 165  
17. 125  
18. 145  

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### Questions:

1. Draw a scatter diagram to display the relationship between the two variables \( X \) and \( Y \).
2. Describe the statistical technique used to analyze this data.
3. Calculate and interpret the correlation coefficient between \( X \) and \( Y \).
4. What is the value of \( r \) and its interpretation?

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Would you like assistance with creating the scatter plot, calculating the correlation coefficient, or explaining the steps? Let me know if you'd like to explore these questions further, and I can generate the plot and calculations based on the data provided!

### Related Questions:
1. What are the steps involved in calculating a correlation coefficient?
2. How does a scatter diagram help in visualizing the relationship between variables?
3. What is the significance of a high or low correlation coefficient in this context?
4. How can we interpret the slope of a trend line in the scatter plot?
5. What are the potential limitations of using correlation analysis on this dataset?

### Tip:
When calculating correlation, make sure the data is free of any errors or outliers, as these can significantly impact the results.

The following data are taken from a sample of 18 adult females. Draw a scatter diagram to display the relationship between the two variables X (age) and Y (data). Describe the statistical technique used to analyze the data. Calculate and interpret the correlation coefficient between X and Y. What is the value of r and its interpretation?

Analyze the relationship between age and data from a sample of 18 adult females. Learn how to draw a scatter diagram, calculate the Pearson correlation coefficient, and interpret the value of r, which represents the strength and direction of the linear relationship.

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