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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Text Problem Sets A1. (Bond valuation) A $1‚000 face value bond has a remaining maturity of 10 years and a required return of 9%. The bond’s coupon rate is 7.4%. What is the fair value of this bond? Number of years (N) = 10‚ future value (FV) = 1000‚ interest rate (I/YR) = 9 0.074 * 1000 = 74 = PMT or annual payment‚ I then pressed CPT on my financial calculator to compute the price of the bond and then pressed PV or present value. The fair value of the bond is $897.32. Using Cash Flow of
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total direct costs of the assembly department. 3. Calculate the budgeted cost of trophies and plaques if Tarquin allocated overhead costs in each department using activity-based costing. 4. Explain how the disaggregation of information could improve or reduce decision quality. Problem E 1 Overhead rate = Total overhead 56‚346 0.712113744 71.211% Total Direct costs $79‚125 Tarquin’s Trophies Budgeted Information For the Year Ended November 30‚ 2011 Forming
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Problem Set 2 Complete all questions listed below. Clearly label your answers 1. What impact would a change that shifts an economy’s production possibilities curve outward have on the long run aggregate supply curve? How have improvements in computer technology affected production possibilities and the long run aggregate supply curve? Explain Answer: Growth of population and the labor-force participation rate Capital accumulation Improvements in technology 2
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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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PROBLEM SET # 1 Instructions: 1) Open book‚ open notes limited to only class materials. 2) Unlimited time. 3) This must be reflective of your individual effort. GMU Honor Code applies. 4) The Problem Set #1 (only the question solutions portion) is due at the end of the day on September 24th. 5) Show all work‚ as partial credit will be given for each question’s answer. Organize your work so it is easy to follow. You can use word‚ power point‚ excel or combinations
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ECN171 Economy of East Asia Problem Set 1 The data for this problem set is posted on SmartSite in the Resources folder. It was downloaded from the Penn World Tables version 7.1‚ which is publicly available at https://pwt.sas.upenn.edu/php_site/pwt_index.php . 1. Graph the GDP [per capita] of the East Asian countries in PS1_data.xls on one graph. Which East Asian country is the largest [richest] in 1960? In 2010? When did the switch occur? 2. Calculate the growth rates (log difference‚ using natural
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Problem Set 1 Macroeconomics‚ ECON 2123 (Instructor: Partha Sen; TA: Peter Tsui) ------------------------------------------------------------------------------------------------------------------------------------ Posted: Friday‚ 19 September 2014 Due: 5:00 PM Friday‚ 26 September 2014 (Submit your homework into the homework collection box outside the department office) 100 marks total Part I: True/False/Uncertain (20 marks‚ 4 marks each) 1. GDP is the value of all goods and services produced
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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 bats 1/6 1 tennis rackets 1/2 1/4 (a) What is the opportunity
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GMB 713 PROBLEM SET NO. 2 PROBLEM SOLVING: Solve the following problems. Show all pertinent solutions. 1. A car battery dealer is trying to determine which of the brands of car battery he is selling has a longer life span. He conducted an investigation by interview his customers and was able to get the following results: Brand X Brand Y Mean life span 4.5 years 4.9 years Standard deviation
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