# How to Illustrate correlation in binary classification

I ran a correlation in a binary classification problem between one variable and the prediction to determine whether a linear correlation exists. The code:

a = [340, 180, 50, 30, 100, 300, 195, 20, 60, 80, 380] # feature
b = [1, 1 , 0 , 0, 0, 1, 1, 0, 0, 0, 1] # class
from scipy.stats import pearsonr
print(pearsonr(a,b))


It seems there is high correlation (over 75%) and p-value is very significant as well. I then tried to create a scatterplot with matplotlib in order to examine the data but obviously a simple scatterplot (x-axis = class and y-axis - features) doesn't show much.

@xan Thanks for the response!

I was trying to say that it is my understanding that Pearson correlation can only illustrate a linear relationship. I was wondering if there is anyway of visualising a non-linear correlation.The first graph is boring as the data is perfectly split.The problem i'm examining is a doc classification issue, the variable is doc length. Im want to verify that a relationship exists (which I did) and verify that doc length isn't part of the model (normalisated tfidf).I like your idea of the fitted LR, perhaps that would be an interesting plot to show the correlation!