Publications by Misha Kollontai
DATA606_Lab9
Grading the professor Many college courses conclude by giving students the opportunity to evaluate the course and the instructor anonymously. However, the use of these student evaluations as an indicator of course quality and teaching effectiveness is often criticized because these measures may reflect the influence of non-teaching related charac...
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ggplot2 and World maps
Working with Geographical Data One of the most important skills for a data scientist is data presentation. The countless hours of behind the scenes work: aggregating the data, tidying it, performing statistical analyses, etc is wasted if the conclusions drawn from this work cannot be conveyed properly to a general audience. It is for this reason ...
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DATA607 Tidyverse Part2
FiveThirtyEight - Data : Airline-Safety TidyRecipe Create an Example Using one or more TidyVerse packages, and any dataset from fivethirtyeight.com or Kaggle, create a programming sample “vignette” that demonstrates how to use one or more of the capabilities of the selected TidyVerse package with your selected dataset. Airline Data Selectio...
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DATA607 Final Project
Final Project Overview and Motivation As the presidential election cycle starts to ramp up again, we thought it would be interesting to take a look back at the election data from 2016 in order to think more about potential factors that could affect the outcome of next year’s vote. Labeled by Politico as the “biggest upset in U.S. history”, ...
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DATA605_Exercise4
Exercise ILT.C29 Let \[\mathbf{A} = \left[\begin{array} {rrrr} 1 & 2 & 1 & 1 \\ 2 & 1 & 1 & 0 \\ 1 & 2 & 1 & 2 \\ 1 & 2 & 1 & 1 \end{array}\right]\] and let \(T:C^{4} \to C^{4}\) be given by \(T(x) = Ax\). Find \(\kappa(T)\). Is T injective? Let us RREF the matrix: \[\mathbf{A} = \left[\begin{array} {rrrr} 1 & 2 & 1 & 1 \\ 0 & -3 & -1 & ...
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DATA605_Discussion 6
Exercise 31 on page 154 of Introduction to Probability Using the Life Table for 1981 given in Appendix C, find the probability that a male of age 60 in 1981 lives to age 80. Find the same probability for a female. M_at_80 <- 36848 M_at_60 <- 81485 F_at_80 <- 57062 F_at_60 <- 89835 P_male <- M_at_80/M_at_60 P_female <- F_at_80/F_at_60 Given...
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Exercise 3 p.289 Intro to Probability
Exercise 3 on page 289 of Introduction to Probability The designation in the problem \[p_{x}= \begin{pmatrix} 0 & 1 & 2\\ \frac{1}{8} & \frac{3}{8} & \frac{1}{2} \end{pmatrix} \] actually means that both \(X_{1}\) and \(X_{2}\) have a distribution defined as: \(P(0) = \frac{1}{8}\) \(P(1) = \frac{3}{8}\) \(P(2) = \frac{1}{2}\) The possible v...
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DATA605_Exercise11
Coronavirus cases based on latitude Let’s take a look at whether or not the number of Coronavirus cases in each US state is responsive at all to the latitude of the state. There have been claims about warmer weather affecting the virus; if this is true, countries at higher latitudes may show fewer cases. To start let’s pull two sets of data -...
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DATA605_HW13
1. Use integration by substitution to solve the integral below \[\int 4e^{-7x}dx\] let \(u = -7x\) then \(du = -7dx\) and \(dx = -\frac{1}{7}du\) Substituting into the original equation: \[4\int e^{u}*(-\frac{1}{7})du\] \[-\frac{4}{7}\int e^{u}du\] \[-\frac{4}{7}e^{u} + C\] Substituting the value of u back in: \[-\frac{4}{7}e^{-7x} + C\] 2. Biol...
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DATA608 HW1
DATA608 Module 1 Misha Kollontai 8/27/2020 Principles of Data Visualization and Introduction to ggplot2 I have provided you with data about the 5,000 fastest growing companies in the US, as compiled by Inc. magazine. lets read this in: inc <- read.csv("https://raw.githubusercontent.com/charleyferrari/CUNY_DATA_608/master/module1/Data/inc5000_da...
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