Publications by yina qiao
DATA 605 YINA QIAO FINAL
Problem 1. Using R, set a random seed equal to 1234 (i.e., set.seed(1234)). Generate a random variable X that has 10,000 continuous random uniform values between 5 and 15.Then generate a random variable Y that has 10,000 random normal values with a mean of 10 and a standard deviation of 2.89. set.seed(1234) X <- runif(10000,5,15) Y <- rnorm(10000,1...
5186 sym Python (20462 sym/60 pcs) 10 img
DATA 605 W13D
4.1 problem 5 The roots of f(x) are known or are easily found. Use 5 iterations of Newton’s Method with the given initial approximation to approximate the root. Compare it to the known value of the root. \(f(x) = x^2 + x - 2\) initial \(x_0 = 0\) We use Newton’s Method to approximate the roots of the function \(f(x) = x^2 + x - 2\) with an init...
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DATA 608 Story - 6-Yina Qiao
Intro The United Nations Food and Agriculture Organization publication, The State of Food Security and Nutrition in the World 2022 (https://www.fao.org/documents/card/en/c/cc0639en) might lead one to the conclusion that it’s an elsewhere problem. That the people who are suffering malnutrition and starvation are “elsewhere”, not in our backyar...
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DATA605-W12D-YINA QIAO
Load Data library(MASS) Summary Statistics head(Boston) ## crim zn indus chas nox rm age dis rad tax ptratio black lstat ## 1 0.00632 18 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 396.90 4.98 ## 2 0.02731 0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 396.90 9.14 ## 3 0.02729 0 7.07 0 0.469 7.185 61.1 4.9671 ...
1138 sym R (3732 sym/9 pcs) 1 img
DATA 605 W11 discussion-YINA QIAO
Use mtcars dataset to build a regression model in R and conducting residual analysis Predit miles per gallons based on weight of the cars library(ggplot2) data(mtcars) model <- lm(mpg ~ wt, data=mtcars) summary(model) ## ## Call: ## lm(formula = mpg ~ wt, data = mtcars) ## ## Residuals: ## Min 1Q Median 3Q Max ## -4.5432 -2....
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DATA 605 HW 13 YINA QIAO
Problem 1: Use integration by substitution to solve the integral below. \[\int 4e^{-7x} \, dx\] \[ \begin{split} \int{4e^{-7x}dx} \\ u = -7x \\ du = -7dx \Rightarrow dx = \frac{du}{-7} \end{split} \] by substitution \[ \begin{split} \int{4e^u \frac{du}{-7}} \\ -\frac{4}{7}\int{e^udu}\\ -\frac{4}{7}e^u + C\\ -\frac{4}{7}e^{-7x} + C\\ \end{split} \] ...
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DATA 605 HW14-YINA QIAO
This week, we’ll work out some Taylor Series expansions of popular functions. For each function, only consider its valid ranges as indicated in the notes when you are computing the Taylor Series expansion. 1.\(f (x) = \frac{1}{(1-x)}\) The Taylor Series expansion for \(f (x) = \frac{1}{(1-x)}\) is: \[ f (x) = \frac{1}{(1-x)} = \sum_{n=0}^{\infty...
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DATA 605 HW15-YINA QIAO
library(pracma) 1 Find the equation of the regression line for the given points. The points given are (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, 7.7, 8.4) y <- c(8.8, 12.4, 14.8, 18.2, 20.8) regression <- lm(y ~ x) summary(regression) ## ## Call: ## lm(formula = y ~ x) ## ## Residuals: ## 1 2 3...
2487 sym R (2233 sym/16 pcs)
Data 605 HW11
Problem Statement 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.) library(ggplot2) library(dplyr) ## ## Attaching package: 'dplyr' ## The following objects are masked fr...
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Data 605 HW12
Problem Statement The attached who.csv dataset contains real-world data from 2008. The variables included follow. Country: name of the country LifeExp: average life expectancy for the country in years InfantSurvival: proportion of those surviving to one year or more Under5Survival: proportion of those surviving to five years or more TBFree: proport...
3235 sym R (6530 sym/26 pcs) 5 img