Correlation between arrays in Numpy

We will learn how to handle correlation between arrays in the Numpy Python library.

Calculating Correlation

To calculate the correlation between two arrays in Numpy, utilize the corrcoef function:

import numpy as np

my_array = np.array([1, 2, 4, 7, 17, 43, 4, 9])
second_array = np.array([2, 12, 5, 43, 5, 76, 23, 12])

correlation_arrays = np.corrcoef(my_array, second_array)

print(f"Correlation between two arrays: \n {correlation_arrays}")

The corrcoef function computes the correlation matrix, providing you with valuable insights into the relationship between the two arrays.

Interpreting Array Correlation

Understanding the correlation coefficient output by Numpy’s corrcoef function is essential to interpret the relationship between two arrays.

Correlation Coefficient

The correlation coefficient ranges from -1 to 1.
A positive value (close to 1) indicates a strong positive correlation, meaning the arrays move in the same direction.
A negative value (close to -1) signifies a strong negative correlation, indicating opposite movements.
A value close to 0 implies a weak or no linear correlation between the arrays.

Here’s a simple code snippet to interpret the correlation coefficient:

import numpy as np

my_array = np.array([1, 2, 4, 7, 17, 43, 4, 9])
second_array = np.array([2, 12, 5, 43, 5, 76, 23, 12])

correlation_arrays = np.corrcoef(my_array, second_array)
correlation_coefficient = correlation_arrays[0, 1]

if correlation_coefficient > 0:
    print("There is a positive correlation between the arrays.")
elif correlation_coefficient < 0:
    print("There is a negative correlation between the arrays.")
else:
    print("There is no significant linear correlation between the arrays.")

By analyzing the correlation coefficient, you can gain valuable insights into the relationship and dependencies between your arrays.