Publications by Team : Omega (Mario Pena, Deepak Sharma, Ramnivas Singh)
Discussion 6 DATA605
Discussion 6 Exercise 4.1 #3 A die is rolled twice. What is the probability that the sum of the faces is greater than 7, given that (a) the first outcome was a 4? We will let A = sum of faces greater than 7, and B = first outcome is 4. We will use the following formula to find the probability \(P(A|B)=\frac { P({ A }\cap B) }{ P(B) }\) If our fir...
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Discussion 5 DATA605
Discussion 5 Exercise 1.1 #3 In the early 1600s, Galileo was asked to explain the fact that, although the number of triples of integers from 1 to 6 with sum 9 is the same as the number of such triples with sum 10, when three dice are rolled, a 9 seemed to come up less often than a 10-supposedly in the experience of gamblers. Write a program to s...
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Discussion 4 DATA605
Discussion 4 Exercise MR.C21 Find a matrix representation of the linear transformation T relative to the bases B and C. \(T:{ P }_{ 2 }\rightarrow { C }^{ 2 },\quad T(p(x))=\left[ \begin{matrix} p(1) \\ p(3) \end{matrix} \right]\) \(B=\left\{ 2-5x+{ x }^{ 2 },\quad 1+x-{ x }^{ 2 }\quad ,\quad { x }^{ 2 } \right\}\) \(C=\left\{ \left[ \begin{matri...
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Discussion 3 DATA605
Discussion 3 Exercise EE.C11 Find the characteristic polynomial of the matrix \(A=\left[ \begin{matrix} 3 & 2 & 1 \\ 0 & 1 & 1 \\ 1 & 2 & 0 \end{matrix} \right]\) We first find the determinant of \(\left( A\quad -\quad \lambda \times I \right)\). In the videos from Khan Academy we’ve seen that they substract matrix A from lambda times the ident...
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Discussion 2 DATA605
Discussion 2 Exercise D.C31 Given set W below is a subspace of \({ C }^{ 4 }\), find the dimension of W. \({ W }=\left\{ \left[ \begin{matrix} 2 \\ -3 \\ \begin{matrix} 4 \\ 1 \end{matrix} \end{matrix} \right] ,\quad \left[ \begin{matrix} 3 \\ 0 \\ \begin{matrix} 1 \\ -2 \end{matrix} \end{matrix} \right] ,\quad \left[ \begin{matrix} -4 \\ -3 \\ \...
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Final Project DATA607
Introduction The final project requirements have been identified in the document located at the following link: https://bbhosted.cuny.edu/bbcswebdav/pid-42265237-dt-content-rid-347468186_1/courses/SPS01_DATA_607_01_1199_1/607-Final%281%29.pdf Team Members Mario Pena Ajay Arora Initial Communication / Establishing Work Activity We enjoyed collab...
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TidyVerse Assignment DATA607
TidyVerse Assignment: Collaborating Around a Code Project with GitHub. Assignment Description: In this assignment we will get to practice collaborating around a code project with GitHub. We will create and example using one or more TidyVerse packages and demonstrate how to use the capabilities. We will also extend an existing example from one of ...
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Discussion 14 DATA605
Discussion 14 Chapter 8.8 Problem 26: In Exercise 25-30, use the Taylor series given in Key Idea 8.8.1 to create the Taylor series of the given function. \(f(x)={ e }^{ -x }\) First, let’s consider that the Taylor Series of \(f(x)\) centered at c is: \(\sum _{ n=0 }^{ \infty }{ \frac { { f }^{ n }(c) }{ n! } { (x-c) }^{ n } }\) \(=f(c)+f'(c)(...
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Homework 1 DATA608
Homework 1: Exploratory Data Analysis 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_data.csv...
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Project 1 DATA624
library(readxl) library(fpp3) ## -- Attaching packages ------------------------------------------------------------------------------------------------------- fpp3 0.4.0 -- ## v tibble 3.1.1 v tsibble 1.1.1 ## v dplyr 1.0.6 v tsibbledata 0.4.0 ## v tidyr 1.1.3 v feasts 0.2.2 ## v lubridate 1.7.4 v f...
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