Pearson Correlation using Python

When two or more features are related to each other in such a way that if the value of 1 features increases, the value of the other feature also increases or decreases. This is what correlation means. In this article, I’m going to walk you through the implementation of Pearson Correlation using Python.

What is Correlation?

Correlation means finding the relationship between variables. In data science, we use correlation to find features that are positively and negatively correlated with each other so that we can choose the best features to train a machine learning model.

Also, Read – 200+ Machine Learning Projects Solved and Explained.

The degree of correlation is between -1 and 1. When the value of the correlation between the features is 1, then those features are positively correlated with each other, and when the value of the correlation between the features is -1, it means that those features are negatively correlated to each other.

When the value of the correlation between the features is equal to 0, we can say that there is no correlation between the features. In machine learning, we can use correlation to check the relationship between all the features regarding the target label. So we can select those features to train the machine learning model which are highly correlated to the target label.

Pearson Correlation

Pearson Correlation Formula
Pearson Correlation coefficient Formula
rcorrelation coefficient
x_{i}values of the x-variable in a sample
\bar{x}mean of the values of the x-variable
y_{i}values of the y-variable in a sample
\bar{y}mean of the values of the y-variable

Pearson correlation is a statistical technique for measuring the degree of the linear relationship between two or more features. Demand and supply are the best examples of understanding of Pearson’s correlation. For example, the supply of a product will increase when the demand for the product increases, and the supply of the product will decrease when the demand for that product increases.

Thus, according to the example above, there is a positive correlation between demand and supply of a product. Hope you now understand what correlation is and what the Pearson correlation is and why we use it before training machine learning models. In the section below, I will walk you through how to calculate correlation using Python.

Pearson Correlation using Python

Before we implement the Pearson correlation using Python, let’s take a look at some important points to understand the result:

  1. Positive values signify a positive linear correlation.
  2. Negative values mean negative linear correlation.
  3. 0 means no linear correlation.
  4. The closer the value is to 1 or -1, the stronger the linear correlation.

Now let’s see how to implement the Pearson Correlation using Python:

                 Unnamed: 0        ID      Year      IMDb  ...      Hulu  Prime Video   Disney+   Runtime
Unnamed: 0         1.000000  1.000000 -0.254391 -0.399953  ... -0.219737     0.554120  0.287011 -0.206003
ID                 1.000000  1.000000 -0.254391 -0.399953  ... -0.219737     0.554120  0.287011 -0.206003
Year              -0.254391 -0.254391  1.000000 -0.021181  ...  0.098009    -0.253377 -0.046819  0.081984
IMDb              -0.399953 -0.399953 -0.021181  1.000000  ...  0.042191    -0.163447  0.075895  0.088987
Rotten Tomatoes   -0.201452 -0.201452 -0.057137  0.616320  ...  0.020373    -0.049916 -0.011805  0.003791
Netflix           -0.708680 -0.708680  0.258533  0.135105  ... -0.107911    -0.757215 -0.088927  0.099526
Hulu              -0.219737 -0.219737  0.098009  0.042191  ...  1.000000    -0.255641 -0.034317  0.033985
Prime Video        0.554120  0.554120 -0.253377 -0.163447  ... -0.255641     1.000000 -0.298900 -0.067378
Disney+            0.287011  0.287011 -0.046819  0.075895  ... -0.034317    -0.298900  1.000000 -0.019976
Runtime           -0.206003 -0.206003  0.081984  0.088987  ...  0.033985    -0.067378 -0.019976  1.000000

[10 rows x 10 columns]

Unnamed: 0        -0.254391
ID                -0.254391
Year               1.000000
IMDb              -0.021181
Rotten Tomatoes   -0.057137
Netflix            0.258533
Hulu               0.098009
Prime Video       -0.253377
Disney+           -0.046819
Runtime            0.081984
Name: Year, dtype: float64
Pearson correlation

I hope you liked this article on what is Pearson Correlation and its implementation using Python. Feel free to ask your valuable questions in the comments section below.

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Aman Kharwal

I am a programmer from India, and I am here to guide you with Data Science, Machine Learning, Python, and C++ for free. I hope you will learn a lot in your journey towards Coding, Machine Learning and Artificial Intelligence with me.

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