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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?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?Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?
- Compare the three-week moving average forecast with the exponential smoothing forecast using α = 0.2. Which appears to provide the better forecast based on MSE?Why is it that the exponential smoothing method offers a better forecast accuracy?The Excel file (Forecasting Assignment Data) contains quarterly motorcycle shipments for Harley-Davidson from 2000 through 2006. Forecast Harley-Davidson quarterly motorcycle shipments for 2007 using 1) Holt’s Method 2) Winter’s Method 3) Linear Trend Model 4) Quadratic Trend Model 5) Quadratic Trend with Seasonal Indices Model In addition, make a recommendation of which forecasting method you think Harley-Davidson should use and why. Year Quarter Period DemandAt 2000 1 1 49,057 2 2 53,329 3 3 48,077 4 4 54,129 2001 1 5 54,154 2 6 60,161 3 7 56,611 4 8 63,535 2002 1 9 64,669 2 10 65,540 3 11 67,474 4 12 65,970 2003 1 13 70,608 2 14 76,025 3 15 67,458 4 16 77,056 2004 1 17 74,090 2 18 82,034 3 19 80,578 4 20 80,587 2005 1 21 76,716 2 22 77,128 3 23 87,585 4 24 87,588 2006 1 25 79,506 2 26 79,796 3 27 97,046 4 28 92,848
- Which graph used in a residual analysis provides roughly the same information as a scatterplot? What advantages does it have over a scatterplot?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?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.