Publications by Alec McCabe
Eigenshoes
Eigenshoes Alec 2/20/2022 Import Libraries library(foreach) ## Warning: package 'foreach' was built under R version 4.1.2 library(jpeg) library(EBImage) ## Warning: package 'EBImage' was built under R version 4.1.1 library(OpenImageR) ## Warning: package 'OpenImageR' was built under R version 4.1.2 ## ## Attaching package: 'OpenImageR' ## The f...
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605 Homework 6
library(stringr) Question 1 A bag contains 5 green and 7 red jellybeans. How many ways can 5 jellybeans be withdrawn from the bag so that the number of green ones withdrawn will be less than 2? green_1 <-choose(5,1) * choose(7,4) green_0<-choose(5,0) * choose(7,5) str_interp("There are ${green_0 + green_1} ways to select five jelly beans where ...
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605 Homework 8
Question 11 A company buys 100 lightbulbs, each of which has an exponential lifetime of 1000 hours. What is the expected time for the first of these bulbs to burn out? (See Exercise 10.) According to the properties of exponential distribution, if \(Xi∼ Exp(λi)\) then \(min(Xi)∼Exp(Σλi)\) as given: \(E[x]=1000\) We know that \(1/λ=E[x]\) T...
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Relationship between Poverty and Number of Covid Cases
Basic Analysis into Covid And Poverty Alec 4/6/2022 Load Data data <- read_csv("covid_data_log_200922.csv") head(data) The data above was pulled from Kaggle, and represents various statistics around COVID in the USA. Each observation represents a particular county, and features include the total number of cases, total number of deaths, abnd oth...
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Document
Question 1 Use integration by substitution to solve the integral below. \[\int 4e^{-7x}~dx\] # substitution with u leads the following equation u = -7x du = -7dx dx=du/-7 \[\int 4e^{u}~\frac{du}{-7}\] \[\frac{-4}{7}\int e^{u}~du\] \[\frac{-4}{7}e^{u} + C\] \[\frac{-4}{7}e^{-7x} + C\] Question 2 Biologists are treating a pond contaminated with ...
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605_homework_14
Taylor Series Expansions For each function, only consider its valid ranges as indicated in the notes when you are computing the Taylor Series expansion. Please submit your assignment as an R- Markdown document. Problem 1 \[f(x) = \frac{1}{1-x} == (1-x)^{-1}\] Solve for first, second, third derivative and evaluate at 0 \[f'(x) = -1*(1-x)^{-2}*-1 ...
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605 Homework 15
Question 1 Find the equation of the regression line for the given points. Round any final values to the nearest hundredth, if necessary. ( 5.6, 8.8 ), ( 6.3, 12.4 ), ( 7, 14.8 ), ( 7.7, 18.2 ), ( 8.4, 20.8 ) x <- c(5.6, 6.3, 7.0, 7.7, 8.4) y <- c(8.8, 12.4, 14.8, 18.2, 20.8) line <- lm(y~x) summary(line) ## ## Call: ## lm(formula = y ~ x) ## #...
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605 Final Exam Part 1
final_exam Alec 4/12/2022 library(igraph) ## Warning: package 'igraph' was built under R version 4.1.2 library(tidyverse) ## Warning: package 'tidyr' was built under R version 4.1.2 ## Warning: package 'readr' was built under R version 4.1.2 ## Warning: package 'dplyr' was built under R version 4.1.2 library(stringr) Part 1 - Pagerank Step 1 F...
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Basic Linear Regression with Cars Dataset
Using the “cars” dataset in R, build a linear model for stopping distance as a function of speed and replicate the analysis of your textbook chapter 3 (visualization, quality evaluation of the model, and residual analysis.) Loading data data(cars) print(sum(is.na(cars$speed))) ## [1] 0 print(sum(is.na(cars$dist))) ## [1] 0 There are no missi...
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Modeling Fitbit Sleep Score
Question of the Week 12 Alec 4/13/2022 Assignment Overview Using R, build a multiple regression model for data that interests you. Include in this model at least one quadratic term, one dichotomous term, and one dichotomous vs. quantitative interaction term. Interpret all coefficients. Conduct residual analysis. Was the linear model appropriate...
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