Annual revenue (in million dollars) earned by the CrazyNet are provided below. Year 2001 2002 2003 2004 2005 2006 | 2007 | 2008 | 2009 | 2010 Sales 9. 10 12 18 16 15 16 12 11 10
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.With the gasoline time series data from table 17.1, show the exponential smoothing forecasts using a = .1.a. applying the MSe measure of forecast accuracy, would you prefer a smoothing constant of a = .1 or a = .2 for the gasoline sales time series?b. are the results the same if you apply Mae as the measure of accuracy?c. What are the results if Mape is used?With the gasoline time series data from the given table, show the exponential smoothing forecasts using = 0.1. Week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 Applying the MSE measure of forecast accuracy, would you prefer a smoothing constant of = 0.1 or = 0.2 for the gasoline sales time series? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MSE fill in the blank 1 fill in the blank 2 Prefer: 01. or 0.2 2. Are the results the same if you apply MAE as the measure of accuracy? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MAE fill in the blank 4 fill in the blank 5 Prefer: 0.1 or 0.2 3. What are the results if MAPE is used? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MAPE fill in…
- Storrs Cycles has just started selling the new Cyclonemountain bike, with monthly sales as shown in the table. First,co-owner Bob Day wants to forecast by exponential smoothingby initially setting February’s forecast equal to January’s saleswith a = .1. Co-owner Sherry Snyder wants to use a three-periodmoving average. a) Is there a strong linear trend in sales over time?b) Fill in the table with what Bob and Sherry each forecast forMay and the earlier months, as relevant.c) Assume that May’s actual sales figure turns out to be 405.Complete the table’s columns and then calculate the meanabsolute deviation for both Bob’s and Sherry’s methods.d) Based on these calculations, which method seems moreaccurate?For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. a. Compute for a 3 month moving average forecast. b. Compute for the exponential smoothing forecast for a=0.2. c. Which provides the better forecast using MSE as the measure of model accuracy? d. What is the forecast for next month?The values of Alabama building contracts (in $ millions) for a 12 -month period follow. 240 350 240 260 280 320 220 310 240 310 240 240 A. Compare the three-month moving average approach with the exponential smoothing forecast using a=0.2 (to 2 decimals). MSE (3-Month) _______ MSE ( a=0.2) __________ Using only the errors for months 4 to 12, the MSE for exponential smoothing is: MSE ( a=0.2) __________ C. Using the approach that provides more accurate forecasts based on MSE, what is the forecast for the next month (to the nearest whole number)? $ _______million
- A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation: y-hat = 6 + 0.1X, where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Yvette worked 10 hours and slept 8 hours. What is Yvette’s residual? 0.1 1 6 7The 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?Suppose the following model describes changes in the civilian unemployment rate: Δuert = −0.0405 − 0.4674Δuert −1. The current change (first difference) in the un- employment rate is 0.0300. assume that the mean-reverting level for changes in the unemployment rate is −0.0276. a. what is the best prediction of the next change? b. what is the prediction of the change following the next change? C. explain your answer to Part b in terms of equilibrium.