Identify the choice that best completes the statement or answers the question. ____ 1. Tell whether the function y = 2( 5 ) shows growth or decay. Then graph the function. a. This is an exponential growth function. c. This is an exponential decay function. x b. This is an exponential growth function. d. This is an exponential growth function. ____ 2. Graph the inverse of the relation. Identify the domain and range of the inverse. x y −1 4 1 2 3 1 5 0 7 1 a. c. Domain: {x | 0 ≤ x ≤ 4}; Range:
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Exponential Functions An exponential function is in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size‚ in the spread of diseases‚ and the growth of investments. They can also accurately predict types of decline typified by radioactive decay. The essence of exponential growth‚ and a characteristic of all exponential growth functions‚ is that they double in size over regular intervals. The most important exponential function is
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G Exploring Exponential Models 1 x 3. y 5 2 Q 5 R Graph each function. 1. y 5 (0.3)x 6 Date 2. y 5 3x y 6 y y 4 4 2 2 x x Ϫ2 O 2 Ϫ2 O 2 x Ϫ2 O 1 4. y 5 2(3)x 5. s(t) 5 2.5t y 6 s(t) 6 f(x) 4 2 4 6 4 1 6. f (x) 5 2(5)x 2 2 2 Ϫ2 O x t x 2 1 x 7. y 5 0.99 Q 3 R decay; 0.99 Ϫ2 O Ϫ2 O 2 2 Without graphing‚ determine whether the function represents exponential growth or exponential
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estimate in part (2) to make a case for or against excess stormrelated sales. Appendix 18.1 Forecasting with Minitab In this appendix we show how Minitab can be used to develop forecasts using three forecasting methods: moving averages‚ exponential smoothing‚ and trend projection. Moving Averages CD file Gasoline To show how Minitab can be used to develop forecasts using the moving averages method‚ we will develop a forecast for the gasoline sales time series in Table 18.1 and Figure
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Executive summary…………………………………………………………………………………4 2.0 Introduction……………………………………………………………………………………………5 3.0 Question 1……………………………………………………………………………………………...6 4.1 a) Time series plot…………………………………………………………………………6 4.2 b) Exponential smoothing methods……………………………………………….8 4.3 c) 8 months Forecasted period……………………………………………………11 4.4 d) Forecasting report……………………………………………………………………13 4.0 Question 2…………………………………………………………………………………………….15 5.5 Forecasting in
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A PROJECT REPORT ON DEMAND FORECASTING OF RETAIL SUPPLY CHAIN MANAGEMENT USING STATISTICAL ANALYSIS By AVINASH KUMAR SONEE 2005B3A8582G KRISHNA MOHAN YEGAREDDY 2006B3PS704P AT HETERO MED SOLUTIONS LIMITED Madhuranagar‚ Hyderabad A Practice School–II station of [pic] BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE‚ PILANI DECEMBER‚ 2009 A PROJECT REPORT On DEMAND FORECASTING OF RETAIL SUPPLY CHAIN MANAGEMENT USING STATISTICAL ANALYSIS by AVINASH KUMAR SONEE - (M
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1087 1170 1196 1084 2008 1270 1137 1170 1155 1104 2009 1290 1186 1207 1259 1154 2010 x 1214 1236 1287 1195 B) Five-year moving average = 141.9 Three-year moving average = 78.6 Exponential smoothing (w = .9) = 45.7 Exponential smoothing (w = .3) = 110.9 C) I would use the exponential smoothing w=.9 because of the trending factor 6) A) In 2010 = 11450 units B) Sales would go from 11450 to 1100‚ which is about 3.9% reduction/loss C) Sales would decrease from 11450 to 9650 which
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the naïve method‚ a two-period movingaverage‚ and exponential smoothing with an α = 0.2. (Hint: Use naïve to start the exponentialsmoothing process.)MonthSales Naïveb) Compare the forecasts using MAD and decide which is best.Exponential = MAD = Σ | actual – forecast | = 13.73 8+8+4+7/4= 6.75nNaïve = MAD = Σ | actual – forecast | = 8.25 10+10+5+8/4= 8.25n2 period = MAD = Σ | actual – forecast | = 8.25 2.5+15+10+8/4= 8.25nAnswer: Exponential is bestc) Using your method of choice‚ make a forecast
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DEMAND & FORCASTING Founded as a single store in 1960‚ Domino’s Pizza today stands as the recognized world leader in pizza delivery. From the beginning‚ we have been dedicated to the best of service‚ quality products and delivery excellence. They currently have over 9000 stores worldwide‚ all dedicated to providing great-tasting pizza delivered directly to your door or available for carryout. They have pioneered the pizza delivery business‚ and sell more than 400 million pizzas worldwide
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Carles Ramírez Estrada Marcel Subirana Florats Curs 2011-2012 G23 22/03/2012 4.47 City Cycles has just started selling the new Z-10 mountain bike‚ with monthly sales as show in the table. First‚ co-owner Amit wants to forecast by exponential smoothing by initially setting February’s forecast equal to January’s sales with α=1. Co-owner Barbara wants to use a three-period moving average. 1. Is there a strong lineal trend in sales over time? 2. Fill in the table with what Amit and
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