Question: How can such tools as linear regression, r-squared in linear regression, Bernoulli response, and logistic regression be used to prove that there is a cause

How can such tools as linear regression, r-squared in linear regression, Bernoulli response, and logistic regression be used to prove that there is a cause and effect relationship between two variables (response and explanatory)? Could these tools give wrong results (indicate that there is a causal relationship when there is none) when used incorrectly (an example is needed)?

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