Publications by Christian Uriostegui
DATA624_Assignment1
Objective Assignment 1 involves answering questions 2.1, 2.2, 2.3, 2.4, 2.5, 2.8 from the textbook Forecasting: principles and practice by Rob J Hyndman and George Athanasopoulos. Exercise 2.1 Explore the following four time series: Bricks from aus_production, Lynx from pelt, Close from gafa_stock, Demand from vic_elec. Use ? (or help()) to fi...
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Final Exam Pt.1
Problem 1 Probability Density 1: X~Gamma. Using R, generate a random variable X that has 10,000 random Gamma pdf values. A Gamma pdf is completely describe by n (a size parameter) and lambda ( \(\lambda\) , a shape parameter). Choose any n greater 3 and an expected value (\(\lambda\)) between 2 and 10 (you choose). Christian’s Response: # set...
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Final Exam Pt2
Instructions You are to register for Kaggle.com (free) and compete in the House Prices: Advanced Regression Techniques competition. https://www.kaggle.com/c/house-prices-advanced-regression-techniques . I want you to do the following: Descriptive and Inferential Statistics Linear Algebra and Correlation Calculus-Based Probability & Statistics Mo...
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Discussion Board Week 14
Question Write out the first 5 terms of the Binomial series with the given k-value. k = 1/2 Christian’s Response: The Binomial Series formula is as follows \[ (1 + x)^k = 1 + kx + (k * (k-1) / 2!) x^2 + (k * (k-1) * (k-2) / 3!) x^3 + ... \] k is our constant and x is a variable. To solve, we substitute k with 1/2 First Term: Our first term w...
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Discussion Board Assignment Week 13
Problem Compute the differential dy of \(y=x^2+3x-5\) Christian’s Response: The differential dy or derivative of y, can be calculated with the power rule of differentiation. Using this rule, we can identify the dy: \[ y'(x)=(d/dx)(x^2+3x-5)\\ =(d/dx)x^2 + (d/dx)3x - (d/dx)5\\ =2x + 3(1) - 0\\ =2x + 3 \] Bonus: Now that I have solved for d...
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Discussion Board Week 12
Discussion Board Prompt 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? Why or why not? Response to Prom...
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Discussion Board Week 11
Discussion Board Week 11 Using R, build a regression model for data that interests you. Conduct residual analysis. Was the linear model appropriate? Why or why not? Introduction: I will be examining an NBA dataset that contains per game averages leaguewide from 1979 to 2022. I am interested in looking at the relationship between the variable Pa...
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Discussion Board Week 10
Question Assume that a man’s profession can be classified as professional, skilled laborer, or unskilled laborer. Assume that, of the sons of professional men, 80 percent are professional, 10 percent are skilled laborers, and 10 percent are unskilled laborers. In the case of sons of skilled laborers, 60 percent are skilled laborers, 20 percen...
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Discussion Board Week 9 Follow Up
Question A true-false examination has 48 questions. June has probability 3/4 of answering a question correctly. April just guesses on each question. A passing score is 30 or more correct answers. Compare the probability that June passes the exam with the probability that April passes it. Christian’s Response: We can calculate the probability o...
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Week 9 Discussion Board Question
Question A rookie is brought to a baseball club on the assumption that he will have a .300 batting average. (Batting average is the ratio of the number of hits to the number of times at bat.) In the first year, he comes to bat 300 times and his batting average is .267. Assume that his at bats can be considered Bernoulli trials with probability ...
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