Publications by Ariann Chai
Data 605 Final
House Prices: Advanced Regression Techniques competition https://www.kaggle.com/c/house-prices-advanced-regression-techniques Pick one of the quantitative independent variables from the training data set (train.csv), and define that variable as X. Make sure this variable is skewed to the right! Pick the dependent variable and define it as Y. train ...
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Data 605 Discussion Post 15
Q32-33 p711 In Exercises 32-33, find fx, fy, fz, fyz and fzy. \(f(x, y,z) = x^3y^2 + x^3z + y^2z\) \(fx = x^3y^2 + x^3z + y^2z dx\) \(fx = 3x^2y^2 + 3x^2z\) \(fy = x^3y^2 + x^3z + y^2z dy\) \(fy = 2x^3y + 2yz\) \(fz = x^3y^2 + x^3z + y^2z dz\) \(fz = x^3 + y^2\) \(fyz = 2x^3y + 2yz dz\) \(fyz = 2y\) \(fzy = x^3 + y^2 dy\) \(fzy = 2y\) \(f(x, y,z)...
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Data 605 Assignment 15
Question 1 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 ) To find the equation of the line, I will just be using the summary() command after setting up all the points into a linear regression model. x...
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Data 605 Assignment 14
Question 1 - TAYLOR SERIES This week, we’ll work out some Taylor Series expansions of popular functions. \(f(x) = \frac{1}{(1−x)}\) \(f(x) = e^x\) \(f(x) = ln(1 + x)\) \(f(x)=x^\frac{1}{2}\) For each function, only consider its valid ranges as indicated in the notes when you are computing the Taylor Series expansion. Please submit your assignme...
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Data 605 Discussion Post 14
Q24 p496 In Exercise 24, write out the first 5 terms of the Binomial series with the given k-value. k = 4 The Binomial series formula is: \((1 + x)^b =\sum_{n=0}^∞\)\(b\choose n\)\(x^n\) So the expansion of the first 5 terms is: \((1 + k)^5 = \frac{1}{0!}x^0 + \frac{k}{1!}x^1 + \frac{k(k-1)}{2!}x^2 + \frac{k(k-1)(k-2)}{3!}x^3 + \frac{k(k-1)(k-2)(...
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Data 605 Assignment 13
Question 1 Use integration by substitution to solve the integral below. Sub for dx: \(∫4e^(-7x) dx\) \(u = 7x\) \(\frac{du}{dx} = -7\) \(du = -7dx\) \(dx = \frac{du}{-7}\) Plug in: \(∫4e^(-7x) dx\) -> \(∫4e^u \frac{du}{-7}\) Take out integers: \(-\frac{4}{7}∫e^u du\) \(-\frac{4}{7}e^u + C\) Bring back u: \(-\frac{4}{7}e^(-7x) + C\) Questio...
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Data 605 Assignment 12
Question 1 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: prop...
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Data 605 Assignment 11
Question 1 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.) We are asked to work with the “cars” dataset already in R. It can be accessed with the variable name, cars....
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Data 605 Assignment 10
Question 1 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 of his money if: he bets 1 dollar each time...
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Data 605 Discussion Post 10
Q9 p423 A process moves on the integers 1, 2, 3, 4, and 5. It starts at 1 and, on each successive step, moves to an integer greater than its present position, moving with equal probability to each of the remaining larger integers. State five is an absorbing state. Find the expected number of steps to reach state five. To solve this, we first have t...
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