Publications by Johnny Rodriguez

Data 624 Week 5 HW

29.09.2024

Instructions Do problems 3.1 and 3.2 in the Kuhn and Johnson book Applied Predictive Modeling. Please submit your Rpubs link along with your .pdf for your run code. Exercise 3.1 - Glass The UC Irvine Machine Learning Repository6 contains a data set related to glass identification. The data consist of 214 glass samples labeled as one of seven class...

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Data 624 Week 4 HW

22.09.2024

Instructions Do exercises 5.1, 5.2, 5.3, 5.4 and 5.7 in the Hyndman book. Please submit your Rpubs link as well as your .pdf file showing your run code. # Load libraries library(fpp3) library(fable) library(tsibble) library(dplyr) library(ggplot2) library(feasts) library(gridExtra) library(imputeTS) Exercise 5.1 Produce forecasts for the following...

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Data 624 Week 3 Homework

15.09.2024

Instructions Do exercises 3.1, 3.2, 3.3, 3.4, 3.5, 3.7, 3.8 and 3.9 from the online Hyndman book. Please include your Rpubs link along with.pdf file of your run code # Load libraries library(fpp3) library(dplyr) library(gridExtra) library(seasonal) Exercise 3.1 Consider the GDP information in global_economy. Plot the GDP per capita for each countr...

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Data 624 Week 2 Homework

08.09.2024

Instructions Please submit exercises 2.1, 2.2, 2.3, 2.4, 2.5 and 2.8 from the Hyndman online Forecasting book. Please submit both your Rpubs link as well as attach the .pdf file with your code. # Load libraries library(fpp3) library(dplyr) library(imputeTS) Exercise 2.1 Explore the following four time series: Bricks from aus_production, Lynx from ...

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Data 605 Final Project

19.05.2024

Multilinear Regression Model Top 3 Predictor Variables # Load necessary libraries library(dplyr) library(car) # Load the dataset data <- read.csv("https://raw.githubusercontent.com/johnnydrodriguez/data605/main/train.csv", header = TRUE) # Identify quantitative columns and exclude 'Id' and 'SalePrice' quantitative_columns <- data %>% select_if...

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Data 605 Homework Week 15

17.05.2024

Find the Equation of the Regression Line Given the data points: (5.6, 8.8), (6.3, 12.4), (7, 14.8), (7.7, 18.2), and (8.4, 20.8). 1. Equation of the Regression Line The equation of the regression line is expressed as: \[ y = mx + b \] To generate the equation, we take the following steps: 2. Calculate the Mean of \(x\) and \(y\) 3. Calculate the...

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Data 605 Homework Week 14

05.05.2024

\(f(x) = \frac{1}{1-x}\) Taylor Series Derivation Function and Its Derivatives: First derivative \(f'(x) = \frac{1}{(1-x)^2}\) Second derivative \(f''(x) = \frac{2}{(1-x)^3}\) Third derivative \(f'''(x) = \frac{6}{(1-x)^4}\) Fourth derivative \(f''''(x) = \frac{24}{(1-x)^5}\) Evaluate at \(x = 0\): \(f(0) = 1\) \(f'(0) = 1\) \(f''(0) = 2\) \(f...

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Discussion Week 14

05.05.2024

Taylor Series Expansion for \(f(x) = \sin(2x + 3)\) Chapter 8.8, #27 Function and Its Derivatives: First derivative \(f'(x) = 2\cos(2x + 3)\) Second derivative \(f''(x) = -4\sin(2x + 3)\) Third derivative \(f'''(x) = -8\cos(2x + 3)\) Fourth derivative \(f''''(x) = 16\sin(2x + 3)\) Evaluate at \(x = 0\): \(f(0) = \sin(3)\) \(f'(0) = 2\cos(3)\) \...

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Data 605 Discussion 13

30.04.2024

A 24 ft ladder is leaning against a house while the base is pulled away at a constant rate of 1 ft/s. (Page 179, #9 ) At what rate is the top of the ladder sliding down the side of the house when the base is: (a) 1 foot from the house? (b) 10 feet from the house? (c) 23 feet from the house? (d) 24 feet from the house? We apply the concept of relat...

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Data 605 Homework Week 13

28.04.2024

Q1 Use integration by substitution to solve the integral below. \[ \int 4e^{-7x} \, dx \] Identify the substitution Let: \[ u = -7x \] Compute \(du\): \[ du = -7dx \] and dx: \[ dx = -\frac{1}{7}du \] Rewrite the integral using \(u\) Substitute \(u\) and \(dx\): \[ \int 4e^u \cdot -\frac{1}{7}du \] This simplifies to: \[ -\frac{4}{7} \int e^u \, ...

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