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 + −x3b = 1 w1 w2 w3 x1 w1
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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 1. (Star Wars) Real GDP = 461.0(214.5/60.6) = 1‚631.76 (E.T.) Real GDP = 399.9(214.5/96.5) = 888.90 (Titanic) Real GDP = 600.8(214.5/160.5) = 802.94 (Shrek 2) Real GDP = 437.2(214.5/188.9) = 496.45 (Avatar) Real GDP = 760.5(214.5/214.5) = 760.5 Real GDP in Order of Largest to Smallest Movies Nominal Box Office Receipts (millions) CPI in Year Released Real Box Office Receipts (millions) Star Wars (1977) 461.0 60.6 1‚631.76 E.T. The Extra-Terrestrial (1982) 399.9 96.5 888.90 Titanic
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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 Statement: The perimeter‚ approximate surface area‚ and the approximate volume of an in ground pool is given by the following formula: Perimeter = 2 ( length+width ) Volume = length * width * average depth Underground surface area = 2 ( length + width ) average depth + length * width Using these formula as basis‚ write a program that accepts the length‚ width and average depth measurements‚ and then calculates the perimeter‚ volume and underground surface area of the pool. In writing
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Complete Problem 4-8A. P4-8A Dana La Fontsee opened Pro Window Washing Inc. on July 1‚ 2012. During July the following transactions were comple July 1 Issued 12‚000 shares of common stock for $12‚000 cash. 1 Purchased used truck for $8‚000‚ paying $2‚000 cash and the balance on account. 3 Purchased cleaning supplies for $900 on account. 5 Paid $1‚800 cash on 1-year insurance policy effective July 1. 12 Billed customers $3‚700 for cleaning services. 18 Paid $1‚000 cash on amount owed
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1. Explain the events that probably gave rise to journal entries 1 through 8 of exhibit 1. a. Entry 1: Miss barbarra Thompson opened the company investing USD 65‚000.00 cash and USD 100‚000.00 from Bank Borrowings. b. Entry 2: The company paid its Rent amounting to USD 1‚485.00 c. The company bought inventory items worth USD 137‚500.00 on credit. d. The company bought Furnitures and Fixtures (10 years useable life) for cash amounting to USD 15‚500.00 e. The company
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Corporate strategy Strategy is defined as the direction and scope of an organization over the long-term‚ which achieves advantage for the organization through its configuration of resources within a challenging environment‚ to meet the needs of markets and to fulfill stakeholder expectations. Johnson and Scholes (1982). Strategy can be used to describe an approach‚ stance‚ or long term. Strategies exist at several levels in any organization - ranging from the overall business (or group of businesses)
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removed from the tax base by law Deductions- subtracted from the tax base rather than fully excluded. Flat tax- one single rate applied to the entire tax base. Progressive tax- rates increase as tax base increases. (Federal income tax) Tax credit- authorized deduction in gross tax liability Real and personal property taxes- Real (real estate) Personal (difficult to enforce because property is easily concealed or moved‚ with the exception of vehicles which must be registered) Excise tax- imposed on
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a result of theft. Sec. 165 (a)‚ (e). In order to be able to claim the casualty loss deduction the loss must qualify as theft‚ the tax payer must prove the amount of loss due to theft and the taxpayer must also prove the date the theft was discovered. As mentioned in both Robert S. Gerstell‚ 46 T.C. 161 (1966)‚ and Michael Monteleone‚ 34 T.C. 688 (1960)‚ “for tax purposes‚ whether a theft loss has been sustained depends on the law of the jurisdiction wherein the particular loss occurred.” In
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