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Is relying on R-square values alone for linear regression analysis advisable? Is a low R-square value a definitive sign of poor fit in a linear regression model?

Design a system for real-time personalization of web content.

Could you demonstrate how to get the confidence intervals for the mean in Python?

Design a system for real-time processing of financial market data.

Why are overfitting and underfitting important concepts to understand when working with machine learning models? What are they, exactly?

Show how you'd write a function to produce all permutations that are anagrams of a string.

Could you elucidate the minimum height tree concept and the process to assemble one?

Can you demonstrate how to create a normal distribution of 1000 data points with a mean of x and variance of y in R, perform a statistical summary, and plot the density? Follow this by executing the same in Python using the Codility platform.

Create a distributed system for managing task queues.

What tools or techniques do you use to calculate a customer's lifetime value?