numpy as np

Data

x = np.array([88, 44, 55, 11, 77, 22]) y = np.array([77, 55, 66, 0, 66, 33])

Calculate the correlation coefficient

r = np.corrcoef(x, y)[0, 1] rThe correlation coefficient $r$ is approximately $0.92$ (rounded to two decimal places).

Do you want details or have any questions? Here are five related questions to consider:

1. What does a correlation coefficient of $r = 0.92$ indicate about the relationship between $x$ and $y$?
2. How is the correlation coefficient calculated step-by-step?
3. Can the correlation coefficient tell us about causation?
4. What is the difference between a positive and negative correlation coefficient?
5. How would the correlation coefficient change if an outlier were introduced into the dataset?

Tip: The closer $r$ is to $1$ or $-1$, the stronger the linear relationship between the variables.