Researches about theory

6_R. Think and explain in your own words what is the role that probability plays in Statistics and the relation between the observed distribution and frequencies their “theoretical” counterparts. Do some practical examples where you explain how the concepts of an abstract probability space relate to more “concrete” and “real-world” objects when doing statistics.



7_R. Explain the Bayes Theorem and its key role in statistical induction. Describe the different paradigs that can be found within statistical inference (such as”bayesian”, “frequentist” [Fisher, Neyman]).


Applications

7_A. Given 2 variables from a csv compute and represent the statistical regression lines (X to Y and viceversa) and the scatterplot.
Optionally, represent also the histograms on the “sides” of the chart (one could be draw vertically and the other one horizontally, in the position that you prefer).
[Remember that all our charts must alway be done within “dynamic viewports” (movable/resizable rectangles). No third party libraries, to ensure ownership of creative process. May choose the language you prefer.].


Researches about applications

5_RA. Do a web research about the various methods to generate, from a Uniform([0,1)), all the most important random variables (discrete and continuous). Collect all source code you think might be useful code of such algorithms (keep credits and attributions wherever applicable), as they will be useful for our next simulations.


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