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This is a demo website for fx. To log in, you can click the 'Login' link at the bottom of the page and use username admin and password password.

When logged in, you can add, modify, and delete posts, and change other settings.

Note that the site is automatically reset each hour.

Math and Code

This post shows some math and code.

Correlations are ubiquitous. For example, news articles reporting that a research paper found no correlation between X and Y. Also, it is related to (in)dependence, which plays an important role in linear regression. This post will explain the Pearson correlation coefficient. The explanation is mainly based on the book by Hogg et al. (2018).

Let A, B and C be discrete random variables defined by respectively f_A(x) = x + 1, f_B(x) = 0.5x + 3, and f_C(x) = 5 for the range 1 to 7. Let D be the reverse of A. The probabilities are chosen such that they are the same for all the values in these random variables.

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