Publications by Alec McCabe
606 Lab 9 - Multiple Regression
Multiple linear regression Alec McCabe 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 ...
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606 Homework 9 - Multiple Regression
Chapter 9 - Multiple and Logistic Regression Alec McCabe Baby weights, Part I. (9.1, p. 350) The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. Here, we study the relationship betwe...
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Analyzing Web Article Spin
Analyzing Bias in Online News Alec 11/14/2021 Project Libraries library(stringr) library(tidyverse) library(dplyr) library(tm) library(stringr) library(stringi) library(SnowballC) library(textstem) library(sentimentr) library(text2vec) library(caret) library(rvest) library(tidytext) library(randomForest) library(topicmodels) library(wordcloud) l...
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605 Homework 2 - Matrices
605_homework_2 Alec 2/7/2022 Problem 1 Consider matrixes A, and A-transpose (AT) Show that (AT matrix-multipled by A) does not equal (A matrix-multipled by AT) Proof Proof: If we take a 2x2 non-zero matrix, At = [[a, b], [c, d]] At = [[a, c], [b, d]] AAt = [[(aa + ba), (ac + bd)], [(ca + db), (cc + dd)]] AtA = [[(aa + cc), (ac + cd)], [(ba + dc...
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Image Manipulation Homework
605 Homework 1a Alec 1/31/2022 One of the most useful applications for linear algebra in data science is image manipulation. We often need to compress, expand, warp, skew, etc. images. To do so, we left multiply a transformation matrix by each of the point vectors. For this assignment, build the first letters for both your first and last name us...
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605_Homework_10
Main Prompt Smith is in jail and has 1 dollar; he can get out on bail if he has 8 dollars. A guard agrees to make a series of bets with him. If Smith bets A dollars, he: wins A dollars with probability .4 loses A dollars with probability .6 Find the probability that he wins 8 dollars before losing all of his money if: Part 1 “he bets 1 dolla...
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605 homework 9
Question 1 The price of one share of stock in the Pilsdorff Beer Company (see Exercise 8.2.12) is given by Yn on the nth day of the year. Finn observes that the differences Xn = Yn+1 − Yn appear to be independent random variables with a common distribution having mean µ = 0 and variance σ = 1/4. If Y1 = 100, estimate the probability that Y365...
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605 Homework 7
Question 1 Let X1, X2, · · · , Xn be n mutually independent random variables, each of which is uniformly distributed on the integers from 1 to k. Let Y denote the minimum of the Xi’s. Find the distribution of Y. Solution: P(Y<= y) = 1- P(Y>y) = 1 - P(min{X1, X2, X3… Xn} > y) = 1 - P(X1 > y, X1 > y, … , Xm > y) = 1 - ((k-y)/k)^n so with s...
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605 Homework 5
605_homework_5 Alec 2/27/2022 Question 1 A new test for multinucleoside-resistant (MNR) human immunodeficiency virus type 1 (HIV-1) variants was recently developed. The test maintains 96% sensitivity, meaning that, for those with the disease, it will correctly report “positive” for 96% of them. The test is also 98% specific, meaning that, fo...
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605 Homework 3
Problem Set 1 Question 1 Given Matrix A: A = matrix(c(1,2,3,4,-1,0,1,3,0,1,-2,1,5,4,-2,-3), nrow=4, byrow=TRUE) A ## [,1] [,2] [,3] [,4] ## [1,] 1 2 3 4 ## [2,] -1 0 1 3 ## [3,] 0 1 -2 1 ## [4,] 5 4 -2 -3 What is the rank of matrix A? According to Theorum NME8: Nonsingular Matrix Equivalences, th...
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