Final answer:
To determine the correlation between age and height in a dataset, you would use specific functions in Python with pandas to read the data, create a scatter plot, calculate the correlation coefficient, and find the least-squares line.
Step-by-step explanation:
To determine the correlation between two variables such as age and height from a CSV file using Python and pandas, you need to follow these steps after importing the CSV:
1. Read the CSV file
df = pd.read_csv('path_to_file.csv')
2. Inspect the data
You've already printed df.head() and df.tail() to see the dataset structure. Make sure 'age' and 'height' are in the dataframe's columns.
3. Decide Independent and Dependent Variables
Generally, age would be the independent variable and height would be the dependent variable.
4. Scatter Plot
Use df.plot.scatter('age', 'height') to visualize the data.
5. Correlation coefficient
Calculate it using df['age'].corr(df['height']). If it's close to 1 or -1, it indicates a strong correlation.
6. Least-squares line
To compute this, you could use numpy's polyfit or statsmodels. For example:
import numpy as npa, b = np.polyfit(df['age'], df['height'], 1)print(f'The least-squares line is y = {a} + {b}x')
7. Line of Best Fit
Inspect the scatter plot to judge if a line is a suitable fit.