Publications by Forhad Akbar
DATA605- Assignment 16 (Discussion)
Assignment 16 (Discussion): Forhad Akbar 05/13/2020 Load Packages library(knitr) Problem 17 in 12.7 A function z=f(x, y) and a point P are given. Find the equation of the tangent plane to f at point P. \[ f(x, y)=2x^{2}y-4xy^{2}\\ P=(2, 3) \] A full break down on the workflow for this type of problem can be found here https://www.math.hmc.edu...
2038 sym R (14 sym/1 pcs)
DATA605- Assignment 15 (Discussion)
Assignment 15 (Discussion): Forhad Akbar 05/06/2020 Load Packages library(knitr) This week we are working on taylor series. The taylor series expansion is given by the following: \[ f(x)=\sum _{ n=0 }^{ \infty }{ \frac { { f }^{ n }(a) }{ n! } (x-a)^{n} } \\ =f(a)+f'(a)(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+\frac{f'''(a)}{2!}(x-a)^{3}+... \] Prob...
1770 sym R (14 sym/1 pcs)
DATA605- Assignment 14 (Discussion)
Assignment 14 (Discussion): Forhad Akbar 04/28/2020 Load Packages library(knitr) Problem Statement Problem 6, section 7.4 find the arc length of the function on the given interval. Let f be differentialble on an open inteval containing [a,b],where f’ is also continous on [a,b]. Then the arc length of f from x=atp x=b is as follows: \[ L=\int...
1915 sym R (258 sym/3 pcs)
DATA605- Homework 15
DATA 605: Homework 15 Forhad Akbar 05/11/2020 Load Packages library(knitr) library(olsrr) 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 ) Answer: Add the data points for x and y and put into a d...
6073 sym R (2859 sym/35 pcs) 4 img
DATA605- Homework 14
DATA 605: Homework 14 - TAYLOR SERIES Forhad Akbar 05/05/2020 Load Packages library(knitr) Problem This week, we’ll work out some Taylor Series expansions of popular functions. \(f(x) = \frac{1}{(1-x)}\) \(f(x) = e^x\) \(f(x) = ln(1 + x)\) For each function, only consider its valid ranges as indicated in the notes when you are computing the ...
1770 sym R (14 sym/1 pcs)
DATA605- Homework 12
DATA 605: Homework 12 Forhad Akbar 04/20/2020 Load Packages library(knitr) Import Dataset who <- read.csv("https://raw.githubusercontent.com/forhadakbar/data605spring2020/master/Week%2013/who.csv") head(who) ## Country LifeExp InfantSurvival Under5Survival TBFree ## 1 Afghanistan 42 0.835 0.743 0....
3441 sym R (7033 sym/40 pcs) 10 img 1 tbl
DATA605- Assignment 13 (Discussion)
Assignment 13 (Discussion): Forhad Akbar 04/20/2020 Load Packages library(corrplot) library(dplyr) library(knitr) library(tidyverse) library(corrplot) library(gridExtra) Problem Statement 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 ...
1627 sym R (8599 sym/27 pcs) 5 img 2 tbl
DATA605- Assignment 12 (Discussion)
Assignment 12 (Discussion): Forhad Akbar 04/15/2020 Load Packages library(corrplot) library(dplyr) library(knitr) Problem Statement Using R, build a regression model for data that interests you. Conduct residual analysis. Was the linear model appropriate? Why or why not? Solution The data i choose is the heart data from UCI machine learning ...
663 sym R (2376 sym/11 pcs) 3 img
DATA605- Homework 10
DATA 605: Homework 10 Forhad Akbar 04/03/2020 Load Packages library(knitr) 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 and loses A dollars with probability .6. Find the probability that he wins 8 dol...
1692 sym R (690 sym/9 pcs)
DATA605- Assignment 10 (Discussion)
Assignment 10 (Discussion): Chapters 11 Forhad Akbar 04/01/2020 Load Packages library(knitr) Problem Statement Chapter 11, Page 445, Problem 25 Prove that, in an r-state ergodic chain, it is possible to go from any state to any other state in at most r − 1 steps. Solution First of all, we need to understand what ergodic stands for. A Markov ...
1692 sym R (14 sym/1 pcs)