https://file.aiquickdraw.com/mathbot/file/1738615952154patwqvjd.pdf

do co relation using pearson formula for height and shoe size for female only

I will calculate the Pearson correlation coefficient between height and shoe size for females in the dataset.

### Extracted Female Data:
| Height (cm) | Shoe Size (US) |
|-------------|--------------|
| 160         | 7            |
| 165         | 8            |
| 155         | 6            |
| 151         | 9            |
| 150         | 5            |
| 169         | 8            |
| 174         | 9            |
| 155         | 6            |
| 166         | 8            |
| 182         | 11           |
| 152         | 5            |
| 167         | 8            |
| 159         | 6            |
| 164         | 7            |
| 183         | 11           |

Now, I'll compute the Pearson correlation coefficient. numpy as np

# Height and Shoe Size for females
height = np.array([160, 165, 155, 151, 150, 169, 174, 155, 166, 182, 152, 167, 159, 164, 183])
shoe_size = np.array([7, 8, 6, 9, 5, 8, 9, 6, 8, 11, 5, 8, 6, 7, 11])

# Pearson correlation coefficient calculation
correlation = np.corrcoef(height, shoe_size)[0, 1]
correlationThe Pearson correlation coefficient between height and shoe size for females in the dataset is approximately **0.845**. This indicates a strong positive correlation, meaning that as height increases, shoe size also tends to increase.

Would you like a detailed breakdown of the calculation?  

Here are five related questions to explore further:
1. How does the correlation differ between males and females?
2. Can we create a regression model to predict shoe size from height?
3. What is the average height and shoe size for females in this dataset?
4. How does age impact shoe size and height?
5. Is there a significant difference in shoe size between genders?

**Tip:** Pearson correlation measures only linear relationships. If the relationship is non-linear, other methods like Spearman correlation might be more appropriate.

Calculate the Pearson correlation coefficient between height and shoe size for females using real dataset values. Learn how height and shoe size are statistically related with a strong positive correlation of approximately 0.845. Suitable for high school statistics students.

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