Below you are given the first five values of a quarterly time series. The multiplicative model is appropriate and a four-quarter moving average will be used. Year Quarter Time Series Value Yt 1 1 36 2 24   3 16 2 4 20 1 44 An estimate of the combined trend-cycle component (T2Ct) for Quarter 3 of Year 1 (used for estimating the de-trended values), when a four-quarter moving average is used, is a. 24. b.  26. c. 28. d. 25.

Consider the following time series.t                  1           2            3           4           5           6            7 Yt              120       110        100        96        94         92          88a. What type of pattern exists in the data?HorizontalSeasonal with upward trendDownward trendUpward trendSeasonal with downward trendb. Regression analysis yields the following forecast equation: 119.71 - 4.929t; what is the forecast for period 8? Round to the nearest hundredth.c. Regression analysis yields the following forecast equation: 119.71 - 4.929t; what is the MSE for this forecast method? Round to the nearest hundredth.

When using the exponentially weighted moving average for purposes of forecasting rather than smoothing,   Group of answer choices   the current smoothed value becomes the forecast.   the previous smoothed value becomes the forecast.   the next smoothed value becomes the forecast.   None of the above.

1 - A simple exponential smoothing model has a current mean of 156.8. Assuming demand for next period is 170, update the value of the smoothing statistic. Let a = 0.1.   2- An electronics company has sold 145, 157, 124, 169,179, 201, 197, and 230 units of a certain stereo system quarterly for the past two years. Plot the data and fit an appropriate model. Forecast sales for the next two quarters.

A 18.2% B 15.7% C 22.2% D 4.4%

Consider the following quarterly time series. Quarter 1 2 3 4 Year 1 923 Year 2 1,112 1,056 1,156 992 Year 3 1,078 1,243 1,124 1,124 1,254 1,301 1,198 a. Construct a time series plot. What type of pattern exists in the data? b. Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. c. Compute the quarterly forecasts for next year based on the model developed in part b.

Q20

Use R programming or excel to answer the following. Visualize your answers.   Consider the following quarterly time series:   Quarter Year 1 Year 2 Year 3 1 923 1112 1243 2 1056 1156 1301 3 1124 1124 1254 4 992 1078 1198 Construct a time series plot. What type of pattern exists in the data? Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. Compute the quarterly forecasts for next year based on the model developed in part b.