Publications by Ashish Kumar
data-605-Final Project
data-605-Final Project Ashish Kumar 05/20/2020 Problem 1. Using R, generate a random variable X that has 10,000 random uniform numbers from 1 to N, where N can be any number of your choosing greater than or equal to 6. Then generate a random variable Y that has 10,000 random normal numbers with a mean of \(\mu = \sigma = \frac{N+1}{2}\) set.see...
9120 sym R (42431 sym/118 pcs) 16 img 2 tbl
data-605-week16-Assignment
data-605-week16-Assignment Ashish Kumar 05/14/2020 Find the equation of the regression line for the given points. Round any final values to the nearest hundredth, if necessary. \(\color{red}{( 5.6, 8.8 ), ( 6.3, 12.4 ), ( 7, 14.8 ), ( 7.7, 18.2 ), ( 8.4, 20.8 )}\) mydf <- data.frame(x=c(5.6, 6.3, 7, 7.7, 8.4), y=c(8.8, 12.4, 14.8, 18.2, 20.8)) ...
3655 sym R (850 sym/6 pcs)
data-605-week16-Discussion
data-605-week16-Discussion Ashish Kumar 05/09/2020 Page 711 Problem 5 Exercises 12.3 Evaluate \(f_x(x, y)\) and \(f_y(x, y)\) at the indicated point. \(\color{red}{f(x, y) = x^2y-x+2y+3}\) at \(\color{red}{(1,2)}\) \(f_x(x, y)\) = \(\frac{\partial(x^2y-x+2y+3)}{\partial x}\) \(\Rrightarrow\) \(2xy-1\) \(f_x(1, 2)\) = \((2*1*2)-1\) \({\Rrightarr...
506 sym
data-605-week15-Assignment
data-605-week15-Assignment Ashish Kumar 05/03/2020 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. Please submit your assignment as a R-Markdown document. \(\color{red} {f(x) = \cfrac{1}...
1517 sym
data-605-week15-Discussion
data-605-week15-Discussion Ashish Kumar 05/02/2020 Probelm 3 Page 496 Verify the formula given in the Key Idea by finding the first few terms of the Taylor serie of the given function and identifying a pattern. \(f(x) = e^x\); c = 0 So, what we need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given p...
1512 sym
data-605-week14-Discussion
data-605-week14-Discussion Ashish Kumar 04/27/2020 A 24 ft. ladder is leaning against a house while the base is pulled away at a constant rate of 1 ft/s. At what rate is the top of the ladder sliding down the side of the house when the base is: Using Pythagoras theorem, The ladder and house makes up a right triangle: \(x^2+y^2=24^2\) where x is...
1458 sym R (337 sym/9 pcs) 1 img
data-605-week13-Assignment
data-605-week13-Assignment Ashish Kumar 04/23/2020 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 t...
2919 sym R (5951 sym/22 pcs) 2 img 1 tbl
data-605-week12-Discussion
data-605-week12-Discussion Ashish Kumar 04/01/2020 Exercise located @ https://www.openintro.org/go/?id=statlab_sas_multiple_regression&referrer=/book/statlabs/index.php Grading the professor Many college courses conclude by giving students the opportunity to evaluate the course and the instructor anonymously. However, the use of these student e...
5511 sym R (1430 sym/13 pcs) 7 img 1 tbl
data-605-week10-Assignment
data-605-week10-Assignment Ashish Kumar 04/04/2020 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 dollars before losing all o...
1128 sym R (104 sym/2 pcs)
data-605-week9-Assignment
data-605-week9-Assignment Ashish Kumar 03/27/2020 Problem 11 on page 363. 11. The price of one share of stock in the Pilsdorff Beer Company (see Exercise8.2.12) is given by \(Y_n\) on the nth day of the year. Finn observes that the differences \(X_n = Y_{n+1} - Y_n\) appear to be independent random variables with a common distribution having me...
2242 sym R (235 sym/6 pcs)