CS578/STAT590: Introduction to Machine Learning Fall 2014 Problem Set 1 Joon Hee Choi Handed In: 09/14/2014 Review Questions 1. 2. 3. • ∂f ∂x = 6x − y − 11‚ ∂f ∂y • ∂f ∂x = 6x − y − 11 = 0‚ = 2y − x ∂f ∂y = 2y − x = 0 ⇒ x = 2‚ y = 1 ⇒ (x‚ y) = (2‚ 1) • (a) n = 2 w1 x1 and x = . Then‚ w2 x2 wT x + b = w1 x1 + w2 x2 + b = 0 ⇒ −x1b + Let w = w1 x2 − wb =1 2 (b) n = 3 w1 x1 Let w = w2 and x = x2 . Then‚ w3 x3 T w x + b = w1 x1 + w2 x2 + w3 x3 + b = 0 ⇒ −x1b + −x2b
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PROBLEM SET 4 1) Consider the following utility functions‚ where W is wealth: (a) U (W ) = W 2 1 (b) U (W ) = W (c) U (W ) = −W (d) U (W ) = W (e) U (W ) = ln(W ) (f) U (W ) = W 1−γ ‚ with γ = 2 1−γ How likely are each of these functions to represent actual investor preferences? Why? 2) Suppose investors have preference described by the following utility function with A > 0: U = E(r) − 1 Aσ 2 2 Each investor has to choose between three portfolios with the following characteristics:
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Problem Set 1 Complete all questions listed below. Clearly label your answers. 1. The receipts and year of release of the five movies with the largest nominal box office revenues‚ along with the CPI data of each year are presented below. Assuming that the receipts for each of the movies were derived during their year of release‚ convert the receipts for each to real dollars for the year 2010 (2010 CPI 230.1). Put the movies in order from largest to smallest real box office receipts and show
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PROBLEM SET 4 Name: ______________________________________________ Problem Set 4 is to be completed by 11:59 p.m. (ET) on Friday of Module/Week 8. 1. Movies are distributed in a variety of forms‚ not just first run theatrical presentations. What other ways are movies distributed? What are the different price points? Using this information‚ draw a fully labeled graph of the market for movies in which the distributor of the film price discriminates. (NOTE: This should not be perfect price
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Problem Set 3 Macroeconomics‚ ECON 2123 Sections L3 and L4 P. Sen Posted 9.11.14. Due 5 PM 17.11.14. ----------------------------------------------------------------------------------------------------------------------------------- 100 marks total Part I: True/False/Uncertain Please justify your answer with a short argument for each question and draw a diagram if necessary. (25 marks‚ 5 marks each: 2 marks for correct judgment and 3 marks for correct argument) 1. Suppose that workers in the Republic
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the eighteenth century. PURPOSE © Pearson Education‚ Inc.‚ publishing as Pearson Prentice Hall. All rights reserved. In this experiment‚ you will use an iodometric titration to measure the amount of vitamin C in vitamin supplements. This method takes advantage of the fact that vitamin C is a water-soluble organic compound that is easily oxidized and is therefore a good reducing agent. Iodine oxidizes vitamin C according to the following equation: CH2OH CH2OH H H C O O
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Problem Set 3 Name: Lauren Hensley Problem Set 3 is to be completed by 11:59 p.m. (ET) on Monday of Module/Week 6. 1. Data for the market for graham crackers is shown below. Calculate the elasticity of demand between the following prices. Price of crackers Quantity Demanded (per month) $3 80 $2.5 120 $2 160 $1.5 200 $1 240 $1.00 - $1.50: -0.333 $1.50 - $2.00: -0.6 $2.00 - $2.50: -1 $2.50 - $3.00: -1.66 If the price of graham crackers is $2.50 should firms raise or lower
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Problem Set 3 for Group 3 ZHAO XUAN 13103465D CHAN YUET CHING 13087084D ZHOU YONG MEI 13102452D Question 1 Exporting used batteries to Mexico Lead US High standard Mexico Weak law and control $0.05 per pound $0.42 per pound Business ethics the accepted principles of right or wrong gov erning the conduct of individuals engaged in business activities 1 (a) Are US companies that export used batteries to Mexico and follow local regulations in their acting in a socially and ethically
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University of Hong Kong 1st semester 2014-15 ECON0301/ECON2252 Theory of International Trade Problem Set 1 Due time: 5pm September 26‚ 2014 (Friday) Answer all of the following questions. While I encourage you to discuss with your classmates‚ you have to write up your own script. Please hand it in to your TA (Miss Jiuqi Zhao) by the due time via her pageon box on the 9th ‡oor of K.K. Leung Building. 1. Suppose that Home and Foreign have the marginal product of labor shown below. Home Foreign Baseball
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Problem Set 3 1. Louise McIntyre’s monthly gross income is $2‚000. Her employer withholds $400 in federal‚ state‚ and local income taxes and $160 in Social Security taxes per month. Louise contributes $80 per month for her IRA. Her monthly credit payments for VISA‚ MasterCard‚ and Discover card are $35‚ $30‚ and $20‚ respectively. Her monthly payment on an automobile loan is $285. What is Louise’s debt payments-to-income ratio? Is Louise living within her means? Louise’s Gross Income | =
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