Problems based on the components of a time series

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Reference no: EM13804582

1. Enrollment in a particular class for the last four semesters has been 120, 126, 110, and 130 (listed from oldest to most recent). Develop a forecast of enrollment next semester using exponential smoothing with an alpha = 0.2. Assume that an initial forecast for the first semester was 120 (so the forecast and the actual were the same).

118.96
121.17
130
120

Question 2. A seasonal index of ________ indicates that the season is average.
0.1
0.5
0
1

Question 3.Which of the following methods gives an indication of the percentage of forecast error?
MAD
MSE
MAPE
decomposition
Question 4. Which of the following statements is not true about regression models?
Estimates of the slope are found from sample data.
The regression line minimizes the sum of the squared errors.
The dependent variable is the explanatory variable.
The intercept coefficient is not typically interpreted.

Question 5.Which of the following is considered to be one of the components of a time series?
trend
seasonality
cycles
All of the above

Question 6. A time-series forecasting model in which the forecast for the next period is the actual value for the current period is the

Delphi model.
naïve model.
exponential smoothing model.
weighted moving average.

Question 7. 7. Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for the next day using a two-day weighted moving average where the weights are 3 and 1 are (Points : 1)
14.5.
13.5.
14.
12.25.

Question 8.Demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: Y = 98 + 2.2X where X is the number of months that the store has been in existence. Let April be represented by X = 4. April is assumed to have a seasonality index of 1.15. What is the forecast for soccer ball demand for the month of April (rounded to the nearest integer)? (Points : 1)
123
107
100
115
Question 9. Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for the next day using a three-day weighted moving average where the weights are 3, 1, and 1 (the highest weight is for the most recent number).
12.8
13.0
70.0
14.0

Question 10.Which of the following statements is true regarding a scatter diagram?
It provides very little information about the relationship between the regression variables.
It is a plot of the independent and dependent variables.
It is a line chart of the independent and dependent variables.
It has a value between -1 and +1.

Question 11.A judgmental forecasting technique that uses decision makers, staff personnel, and respondent to determine a forecast is called
exponential smoothing.
the Delphi method.
jury of executive opinion.
sales force composite.

Question 12. When both trend and seasonal components are present in time series, which of the following is most appropriate? (Points : 1)
the use of centered moving averages
the use of moving averages
the use of weighted moving averages
the use of double smoothing

Question 13. When is the exponential smoothing model equivalent to the naïve forecasting model?
a = 0
a = 0.5
a = 1
never

Question 14.  Which of the following statements is true about r2?
It is also called the coefficient of correlation.
It is also called the coefficient of determination.
It represents the percent of variation in X that is explained by Y.
It represents the percent of variation in the error that is explained by Y.

Question 15. 15. If computing a causal linear regression model of Y = a + bX and the resultant r2 is very near zero, then one would be able to conclude that
Y = a + bX is a good forecasting method.
Y = a + bX is not a good forecasting method.
a multiple linear regression model is a good forecasting method for the data.
a multiple linear regression model is not a good forecasting method for the data.

Question 16.Which of the following statements about scatter diagrams is true?
Time is always plotted on the y-axis.
It can depict the relationship among three variables simultaneously.
It is helpful when forecasting with qualitative data.
The variable to be forecasted is placed on the y-axis.

Question 17.Enrollment in a particular class for the last four semesters has been 120, 126, 110, and 130. Suppose a one-semester moving average was used to forecast enrollment (this is sometimes referred to as a naïve forecast). Thus, the forecast for the second semester would be 120, for the third semester it would be 126, and for the last semester it would be 110. What would the MSE be for this situation?
196.00
230.67
100.00
42.00

Question 18.Assume that you have tried three different forecasting models. For the first, the MAD = 2.5, for the second, the MSE = 10.5, and for the third, the MAPE = 2.7. We can then say:
the third method is the best.
the second method is the best.
methods one and three are preferable to method two.
None of the above

Question 19. Daily demand for newspapers for the last 10 days has been as follows: 12, 13, 16, 15, 12, 18, 14, 12, 13, 15 (listed from oldest to most recent). Forecast sales for the next day using a two-day moving average.
14
13
15
28

Question 20. As one increases the number of periods used in the calculation of a moving average,
greater emphasis is placed on more recent data.
less emphasis is placed on more recent data.
the emphasis placed on more recent data remains the same.
it requires a computer to automate the calculations.

Reference no: EM13804582

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