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Regression analysis is the process of measuring and establishing a relationship between a dependent variable and one or more independent variables.

8 votes
Accepted

Reverse-engineering a quadratic fit?

My first guess was that they computed a minimax best-approximation polynomial to $\sqrt{x}$ on [0,5,1] with something like the Remez algorithm. However, plotting the difference $p(x)-\sqrt{x}$ I do no …
Federico Poloni's user avatar
6 votes
Accepted

How can I draw a regression line in log scale?

Short version That regression line looks correct; it is perfectly normal that regression lines might look wonky when you plot them in log-space, because the distances are altered. … The third mixed regression assumes an even weirder error model, which is probably not realistic at all. …
Federico Poloni's user avatar
1 vote

How can we solve the normal equations with limited memory?

Among approximate techniques: Gradient descent should do a decent job, given the limitations. Randomized SVD is an effective technique. It is quick to implement, and there are ready-to-use error boun …
Federico Poloni's user avatar