'Dependency between categorical and numerical data

I am analyzing a data set with categorical and numeric values. I would like to detect dependences between categorical and numeric values columns. I have encountered a suggestion to user r-factor of linear model and interpreted it as a R-square. However, after applying the r-square to my data, result does not make any sense.

Did any of you perform such analysis using any other method than r-factor?

corr_matrix = np.corrcoef(data.x, data.y)
corr = corr_matrix[0,1]
R_sq = corr**2
print(R_sq)

python

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'Dependency between categorical and numerical data

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