Publications by IvanTikhonov
DATA605 ASSIGNMENT_14-TAYLOR SERIES
IS 605 FUNDAMENTALS OF COMPUTATIONAL MATHEMATICS - 2021 This week, we’ll work out some Taylor Series expansions of popular functions. f (x) = 1/(1−x) f (x) = e^x f (x) = ln(1 + x) f(x)=x^(1/2) For each function, only consider its valid ranges as indicated in the notes when you are computing the Taylor Series expansion. Please submit your...
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DATA605HW15
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 ) datadf <- data.frame(xvalues=c(5.6, 6.3, 7, 7.7, 8.4), yvalues=c(8.8, 12.4, 14.8, 18.2, 20.8)) print (datadf) ## xvalues yvalues ## 1 5.6 ...
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DATA605DW14
In Exercises 7 – 12, find a formula for the n th term of the Taylor series of f(x), centered at c, by finding the coefficients of the first few powers of x and looking for a paƩern. (The formulas for several of these are found in Key Idea 8.8.1; show work verifying these formula.) Chapter 8.8 Exercises 12 f(x)=1/x;c=1 f′(x)=−1/x^2 f′...
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DATA605 Discussion 15
In Exercises 7 – 14, give the domain and range of the multivariable function. 12.1 Execises 13 f(x,y)=√(9−x2−y2) Since we are taking the square root we need the result to be ge to 0 0≤9−x^2−y^2 x^2+y^2≤9 D={(x,y)|x^2+y^2≤9} So the max output is 3 (when ...
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DATA606lab9
Multiple linear regression library("DATA606") ## Loading required package: shiny ## Loading required package: openintro ## Loading required package: airports ## Loading required package: cherryblossom ## Loading required package: usdata ## Loading required package: ggplot2 ## Loading required package: markdown ## ## Welcome to CUNY DATA606 Stat...
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DATA606_Lab6
Inference for categorical data Getting Started Load packages In this lab, we will explore and visualize the data using the tidyverse suite of packages, and perform statistical inference using infer. The data can be found in the companion package for OpenIntro resources, openintro. Let’s load the packages. library(tidyverse) ## ── Attachi...
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DATA606 lab8
Introduction to linear regression The Human Freedom Index is a report that attempts to summarize the idea of “freedom” through a bunch of different variables for many countries around the globe. It serves as a rough objective measure for the relationships between the different types of freedom - whether it’s political, religious, econom...
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DATA606_lab7
Inference for numerical data Getting Started Load packages In this lab, we will explore and visualize the data using the tidyverse suite of packages, and perform statistical inference using infer. The data can be found in the companion package for OpenIntro resources, openintro. Let’s load the packages. library(tidyverse) ## ── Attaching...
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DATA606lab5 confidence intervals
Foundations for statistical inference - Confidence intervals If you have access to data on an entire population, say the opinion of every adult in the United States on whether or not they think climate change is affecting their local community, it’s straightforward to answer questions like, “What percent of US adults think climate change ...
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DATA607 Final Project
Introduction Goal I seek to understand the rates of emergency response incidents and then compare this with macro factors such as potentially preventable emergency visits by patient county and financial districts health, as well as Covid-19 data to determine if there is a correlation. Motivation for performing the analysis My wife works as a n...
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