The following table shows the actual demand observed over the last 11 years:Year1234567891011Demand7951013711 138138Using exponential smoothing with α = 0.40 and a forecast for year 1 of 6.0, provide the forecast fromperiods 2 through 12 (round your responses to one decimal place).Year123456789101112Forecast 6.0Provide the forecast from periods 2 through 12 using the naive approach (enter your responses as wholenumbers).Year23456789101112Forecast

Given that: α=0.40 Forecast for year 1 = 6 Year 1 2 3 4 5 6 7 8 9 10 11 Demand 7 9 5 10 13 7 11…

Answered: The following table shows the actual…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 33EQ

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.
Given is a historical time series for job services demand in the prior 6 months. Month Demand 1 812 2 799 3 777 4 811 5 765 6 791 The Period 4 forecast by using exponential smoothing with 0.33 alpha = (in 2 decimal places)
The following table contains the demand from the last 10 months. Calculate the exponential smoothing with trend forecast for these data, using an α of 0.30, a δ of 0.30, an initial trend forecast (T1) of 1, and an initial exponentially smoothed forecast (F1) of 30. Round your intermediate calculations and answers to two decimal places.
Below is a table containing data on product demand for the most recent five months along with the forecasts that had been made for those 5 previous months. Use the exponential smoothing method to forecast the number of sales to expect next month. Use the following value of alpha: 0.2. Month Demand Forecast 1 308 349.2 2 388 340.9 3 344 350.3 4 400 349.1 5 341 359.3
The figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a 10-week period. a) Use exponential smoothing with α values of 0.2, 0.3, 0.4 to smooth the data and obtain a forecast for week 11. (b) Using the MSE criterion, which value gives the best results?
The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
The following table contains the demand from the last 10 months: MONTH ACTUAL DEMAND 1 31 2 34 3 33 4 35 5 37 6 36 7 38 8 40 9 40 10 41 a. Calculate the single exponential smoothing forecast for these data using an α of 0.30 and an initial forecast ( F1�1 ) of 31. Note: Round your intermediate calculations and answers to 2 decimal places. b. Calculate the exponential smoothing with trend forecast for these data using an α of 0.30, a δ of 0.30, an initial trend forecast ( T1�1 ) of 1, and an initial exponentially smoothed forecast ( F1�1 ) of 30. Note: Round your intermediate calculations and answers to 2 decimal places. c-1. Calculate the mean absolute deviation (MAD) for the last nine months of forecasts. Note: Round your intermediate calculations and answers to 2 decimal places. c-2. Which is best? multiple choice Exponential smoothing with trend forecast Single exponential smoothing forecast
What is the adjusted Exponential Smoothing forecast for Year 4, Q1 using alpha = 0.3 and beta = 0.5? What is the predicted annual demand for year 4? What is the seasonally adjusted forecast for year 4, Q1?
Not all the items in your office supply store are evenly distributed as far as demand is concerned, so you decide to forecast demand to help plan your stock. Past data for legal-sized yellow tablets for the month of August are. Week 1 300 Week 2 400 Week 3 600 Week 4 700 Using a three-week moving average, what would you forecast week 5 to be? Note: Round your answer to the nearest whole number. Using exponential smoothing with α = 0.20, if the exponential forecast for week 3 was estimated as the average of the first two weeks [(300 + 400)/2 = 350], what would you forecast week 5 to be? Note: Round your answer to the nearest whole number.
The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuingto decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years. In about how many years will human teeth be 90% of their present size?

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