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Statistics
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Business Statistics
Exam 15: Time-Series Forecasting and Index Numbers
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Question 21
Multiple Choice
Often, index numbers are expressed as ____________.
Question 22
Multiple Choice
The table below shows the prices in $ and quantities (thousands) for five specialized electronic components for 2000 and 2016.
The Laspeyres price index for 2016 using 2000 as base year is ______.
Question 23
Multiple Choice
The ratios of "actuals to moving averages" (seasonal indexes) for a time series are presented in the following table as percentages.
2008
2009
2010
2011
2012
Q
1
112.22
110.78
111.22
111.87
Q
2
100.65
108.68
103.78
101.95
Q
3
97.76
99.08
97.68
97.61
Q
4
86.61
95.00
94.64
92.92
\begin{array} { | r | r | r | r | r | r | } \hline & 2008 & 2009 & 2010 & 2011 & 2012 \\\hline Q _ { 1 } & & 112.22 & 110.78 & 111.22 & 111.87 \\\hline Q _ { 2 } & & 100.65 & 108.68 & 103.78 & 101.95 \\\hline Q _ { 3 } & 97.76 & 99.08 & 97.68 & 97.61 & \\\hline Q _ { 4 } & 86.61 & 95.00 & 94.64 & 92.92 & \\\hline\end{array}
Q
1
Q
2
Q
3
Q
4
2008
97.76
86.61
2009
112.22
100.65
99.08
95.00
2010
110.78
108.68
97.68
94.64
2011
111.22
103.78
97.61
92.92
2012
111.87
101.95
The final (completely adjusted) estimate of the seasonal index for Q
1
is __________.
Question 24
True/False
When a trucking firm uses the number of shipments for January of the previous year as the forecast for January next year, it is using a naïve forecasting model.
Question 25
Multiple Choice
Index numbers facilitate comparison of ____________.
Question 26
Multiple Choice
Jim Royo, Manager of Billings Building Supply (BBS) , wants to develop a model to forecast BBS's monthly sales (in $1,000's) .He selects the dollar value of residential building permits (in $10,000) as the predictor variable.An analysis of the data yielded the following tables.
Jim's calculated value for the Durbin-Watson statistic is 1.14.Using
α
\alpha
α
= 0.05, the appropriate decision is: _________.
Question 27
Multiple Choice
If a researcher is using exponential smoothing and determines that the forecast for the next period (F
t + 1
) is the average of the actual value for the previous period (X
t
) and the forecast value for the previous period (F
t
) , then α = ______.
Question 28
True/False
If the trend equation is quadratic in time t=1….T, the forecast value for the next time period, T+1, depends on time T.
Question 29
Multiple Choice
If the seasonal index values for four consecutive quarters are 86.3, 105.6, 99.2, and 100, respectively, then which quarter has the most activity compared with the base quarter?
Question 30
Multiple Choice
Analysis of data for an autoregressive forecasting model produced the following tables.
The actual values of this time series, y, were 228, 54, and 191 for May, June, and July, respectively.The forecast value predicted by the model for July is __________.
Question 31
True/False
Although seasonal effects can confound a trend analysis, a regression model is robust to these effects and the researcher does not need to adjust for seasonality prior to using a regression model to analyze trends.