Sample Test for Forecasting (46pts total) Name_________________________________ ID ___________________________________ I. Multiple Choices and True/False (24pts, 2pts each) ______ The forecast for the student enrollment of the whole WSU is usually more accurate than that of the business school (CBE). ______ If TS = -3.5, we may conclude with 98% confidence that the current forecast method a. under-forecast and should be replaced b. over-forecast and should be replaced c. performs well and should not be replaced. ______ Trend projection method is in general a better method than the Naïve method. ______ Which of the following forecasting measures allows you to measure the direction (over or under forecast) of a forecasting method? a. Bias b. MAD c. MSE d. MAPE e. all of the above ______ Which of the following methods would be most appropriate to forecast the monthly salmon population going through the Lower Granti Dam on the Snake River? a. smoothing methods b. trend projection c. causal forecasting d. qualitative methods e. decomposition of time series ______ The seasonal index should always be positive. If the seasonal index of Spring is larger than 0.5, then we may conclude that the average sales in Spring are above the average annual sales by 50%. ______ Which of the following quantities associated with forecasting techniques should always be positive? a. RSFE b. MAD c. TS d. Bias e. Correlation coefficient r ______ If a data set has a clear increasing trend, which is the correct order of the following three forecasting methods, from the best to the worst? Trend Projection (TP), Naïve, Exponential Smoothing with = .2 (EXP), a. TP, Naive, EXP b. Naive, TP, EXP c. TP, EXP, Naive d. Naive, EXP, TP e. EXP, Naive, TP ______ Recall the apartment rental example we practiced in class. The correlation coefficient between the apartment rentals and the ads placed in the previous month is 0.9. As a result, we concluded that 81% of the rental changes can be attributed to the advertisement changes. II. Calculations (22pts): CARRY TO 2 DECIMAL POINT FOR ALL CALCULATIONS! SHOW DETAILED CALCULATION WORK! Formula: Ft+1 = Yt + (1-) Ft = Ft + (Yt - Ft), Y=a+b*X Problem 1 (10pts) Demands for the past 3 months have been Month 1 2 3 Demand 1 2 5 a. _______ (3pts) Forecast the demand of month 4 by the exponential smoothing method with = 0.3 and F2 = 2. Show your calculations here: ______ In the decomposition of time series method, the deseasonized data is obtained by dividing the original data by the corresponding seasonal index. ______ Which of the following is NOT considered as a qualitative forecasting method? a. The jury of executive opinion b. The Delphi method c. The sales force composite d. Causal method e. Consumer survey ______ The forecast made by an exponential smoothing method is also a weighted average of the past data. In addition, the larger the smoothing constant , the less responsive the method is to the data change. b. (3pts) To forecast the demand of month 4 by trend projection, what are X’s , Y’s, and n in the formula for a and b? X1 = ________, X2 = ________, X3 = ________ Y1 = ________, Y2 = ________, Y3 = ________ n = ________ The demand forecasts by two methods, A and B, are given in the following table Month 1 2 3 Demand 1 2 4 Forecast by A 2 3 2 Forecast by B 3 3 5 a. ______ (2pts) Which method is better based on Bias? Show your calculations: c. (4pts) Suppose the data in the following table are deseasonalized data (assuming the calculation is correct, which is not). Provide X’s, Y’s, and n for the trend projection step in the decomposition of time series method. Spring Summer Fall Winter 2002 81 87 83 84 2003 84 87 89 88 n = ______ b. ______(2pts) Which method is better based on MAPE? Show your calculations: X1 = ________ X2= ________ X3= ________ X4= ________ X5= ________ X6= ________ X7= ________ X8= ________ Y1 = ________ Y2 = ________ Y3 = ________ Y4 = ________ Y5 = ________ Y6 = ________ Y7 = ________ Y8 = ________ d. ______ (3pts) Based on the trend projection method using the above data, Joe found out the intercept = 79 and the slope = 1.2. Let us assume his calculation is correct. Help Joe to forecast the attendance for Summer of 2004. Problem 2 (12pts) Attendance at Orlando’s newest Disney-like attraction, Vacation World, has been as follows in 2002 and 2003: Spring Summer Fall Winter 2002 90 70 100 60 2003 110 90 120 80 a. ________ (3pts) Calculate the seasonal index for the Summer season. Show your calculations here. b. ________ (2pts) Calculate the deseasonalized data for the Summer 2002. Show your calculations here: