Publications by Mael Illien
data605week1exercise
Exercise RREF.C19 Find all solutions to the system of linear equations: \(\begin{array} 2x_1 + x_2 = 6 \\ -x_1 - x_2 = -2 \\ 3x_1 + 4x_2 = 4 \\ 3x_1 + 5x_2 = 2 \end{array}\) The first thing to note here is that we have 2 variables/unknowns, yet we have 4 equations. This implies that we have more information than we need to solve this system of li...
1635 sym R (71 sym/2 pcs)
Üzüm
Setup library(rvest) library(tidyverse) library(kableExtra) library(scales) A helper function for displaying tables showtable <- function(data, title="") { kable(data, caption = title) %>% kable_styling(bootstrap_options = c("striped", "hover", "condensed"), latex_options = "scale_down") } Uzum Salonu Data Import Daily Price (Web Scraped)...
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data606finalproject
Introduction Given the extraordinary surge in migration during the recent years, it is interesting to find out if there is a particular change in the demographics of those groups. The data presented here does not account for refugees or population outflows, but it does provide the opportunity to explore some macro trends of migration, which in th...
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outcomes
DATA606 Learning Outcomes Chapter 1 - Introduction to Data Identify the type of variables (e.g. numerical or categorical; discrete or continuous; ordered or not ordered). Identify the relationship between multiple variables (i.e. independent vs. dependent). Define variables that are not associated as independent. Be able to describe and i...
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data607finalproject
1 A Socio-Economic Investigation into Crime Presented by: Salma Elshahawy salma71 Dhairav Chhatbar dhairavc Mael Illien maelillien 1.1 Introduction This project provided us with the opportunity of showcasing many of the skills we have learned throughout this course and of applying them to an investigation into datasets of our choosing. We narro...
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data605week2exercise
Exercise S.C25 Consider the subspace \(W = \langle \{ \begin{bmatrix} 2 & 1 \\ 3 & -1 \end{bmatrix} , \begin{bmatrix} 4 & 0 \\ 2 & 3 \end{bmatrix} , \begin{bmatrix} -3 & 1 \\ 2 & 1 \end{bmatrix} \} \rangle\) of the vector space of \(2x2\) matrices, \(M_{22}\). Is \(C = \begin{bmatrix} -3 & 3 \\ 6 & -4 \end{bmatrix}\) an element of W? To answer th...
2292 sym R (2859 sym/4 pcs)
data605week13exercise
Multiple Regression Data Import file <- 'https://raw.githubusercontent.com/maelillien/data/master/kc_house_data.csv' house_data <- read_csv(file, col_names = TRUE) # drop some features house_data <- house_data %>% select (-c(id, date, lat, long, sqft_living15, sqft_lot15)) # turn basement into a dichotomous feature (1 = basement, 0 no basement) ...
2412 sym R (13695 sym/22 pcs) 4 img 1 tbl
data605week14exercise
Section 4.2 Exercise 4 A circular balloon is inflated with air flowing at a rate of 10cm\(^3\)/s. How fast is the radius of the balloon increasing when the radius is (a) 1cm? (b) 10cm? (c) 100cm? Start by using an equation that relates the volume of the balloon to its radius: \[ V = \frac{4}{3}\pi r^3 \] Differentiate: \[ \frac{dV}{dt} = 4\pi r^...
549 sym R (219 sym/7 pcs)
data605week16exercise
Section 12.5 Exercise 24 Find \(\frac{dy}{dx}\) using Implicit Differentiation and Theorem 12.5.3 \[ (3x^2+2y^3)^4=2 \] Using Implicit Differentiation: \[ \frac{d}{dx}((3x^2+2y^3)^4) = \frac{d}{dx}(2) \] \[ 4(3x^2+2y^3)^3(6x+6y^2\frac{dy}{dx}) = 0 \] \[ 6x+6y^2\frac{dy}{dx} = 0 \] \[ \frac{dy}{dx} = -\frac{x}{y^2} \] Using Theorem 12.5.3 \[ \f...
567 sym
data605final
Your final is due by the end of the last week of class. You should post your solutions to your GitHub account or RPubs. You are also expected to make a short presentation via YouTube and post that recording to the board. This project will show off your ability to understand the elements of the class. library(tidyverse) library(matrixcalc) library...
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