MA1310 College Mathematics II Study Guide MA1310 College Mathematics II Study Guide DISCUSSION 1.1 (3.5 HOURS) Title: Solving Real-Life Problems Using Sequences Read the following old English rhyme from one of the Rhind Mathematical Papyrus texts: As I was going to St. Ives I met a man with seven wives Each wife had seven sacks Each sack had seven cats Each cat had seven kits [kittens] Discuss the following questions: 1. Assuming that the speaker and the man with seven wives met while traveling
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facility location e. job assignments Forecasts are usually classified by time horizon into three categories a. short-range‚ medium-range‚ and long-range b. finance/accounting‚ marketing‚ and operations c. strategic‚ tactical‚ and operational d. exponential smoothing‚ regression‚ and time series e. departmental‚ organizational‚ and industrial A forecast with a time horizon of about 3 months to 3 years is typically called a a. long-range forecast b. medium-range forecast c. short-range forecast d. weather
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Leonhard Euler. In essence‚ the formula establishes the deep relationship between trigonometric functions and the complex exponential function. Euler’s formula: eix=cos(x)+isin(x); x being any real number Wow -- we’re relating an imaginary exponent to sine and cosine! What is even more interesting is that the formula has a special case: when π is substituted for x in the above equation‚ the result is an amazing identity called the Euler’s identity: eix=cos(x)+isin(x) eiπ=cos(π)+isin(π) eiπ= -1+i(0)
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SCM 485 Exam 1 Review Forecast Notes Supply Chain Management Sequence of activities and organizations involved in producing and delivering a good or service SCM Define by Council of Supply Chain Management Professionals (CSCMP) Supply Chain Management encompasses the planning and management of all activity involved in sourcing and procurement‚ conversion‚ and all logistics management activities. Importantly‚ it also includes coordination and collaboration with channel partners‚ which can
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Contents Introduction Some applications of forecasting Defining forecasting General steps in the forecasting process Qualitative techniques in forecasting Time series methods The Naive Methods Simple Moving Average Method Weighted Moving Average Exponential Smoothing Evaluating the forecast accuracy Trend Projections Linear Regression Analysis Least Squares Method for Linear Regression Decomposition of the time series Selecting A Suitable Forecasting Method More on Forecast Errors Review Exercise
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for a machine to self-improve‚ resulting in what is commonly called a “runaway growth” of information‚ aka the “intelligence explosion”. Runaway growth is the idea of exponential growth compounded upon exponential growth. The way this would happen is through artificial intelligence (AI). There are futurists on both sides of the equation. On one hand‚ the optimists on this matter look to the possibility of a utopian society or at the very least‚ a chance to make the world a better place through this
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a. Use exponential smoothing with a smoothing constant of 0.5 to forecast the population of the United States in 2003. [pic] b. Use exponential smoothing with a smoothing constant of 0.8 to forecast the population of the United States in 2003. c. Which of the two methods provides a more accurate forecast based on the MAD criterion? [pic] 4. Refer to the data provided in problem 1. Using Solver to find the optimal alpha that minimizes MAD‚ use exponential smoothing to
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One of the most common models of population growth is the exponential model. These models use functions of the torm p(t) : po€rt‚ wherep6 is the initial population and r > 0 is the rate constant. Because exponential models describe unbounded growth‚ they are unrealistic over long periods of time. Due to shortages of space and resources‚ all populations must eventually have decreasing grovtrth rates. Logistic growth models allow for exponential growth when the population is small. However‚ as the population
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OPR1010 Operations Management (Winter 2010) In-class Assignment 2: Forecasting Directions: ( We will check the answers during the supplemental session on Feb. 18. (Participation points will be considered for volunteers. (This is not a take-home assignment. You do not have to turn in the answers. (Use MS-Excel for Questions 1 through 4. Q-1. The Polish General’s Pizza Parlor is a small restaurant catering to patrons with a taste for European Pizza. One of its specialties is Polish Prize
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[ii] 3-month moving (20 + 21 + 23)/3 = 21.33 [iii] 6-month weighted [(0.1 17) + (.1 18) + (0.1 20) + (0.2 20) + (0.2 21) + (0.3 23)]/1.0 = 20.6 [iv] Exponential smoothing with alpha = 0.3 [v] Trend Forecast = 15.73 + .38(13) = 20.67‚ where next January is the 13th month. (c) Only trend provides an equation that can extend beyond one month 4.23 Students must determine the naive forecast for the four months. The naive forecast for March is the February actual of 83‚ etc
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