MCQs in Statistics
The tourist industry is subject to enormous seasonal variation. A hotel in North Queensland has recorded its occupancy rate for each quarter during the past 5 years. These data are shown in the accompanying table.
Table 1: Occupancy rate
Year
2004
2005
2006
2007
2008
Quarter 1
0.261
0.295
0.312
0.362
0.396
Quarter 2
0.302
0.324
0.345
0.388
0.418
Quarter 3
0.502
0.568
0.598
0.696
0.782
Quarter 4
0.568
0.615
0.698
0.738
0.802
QUESTION 35
What is the centred moving average that would correspond to Quarter 4 in 2006? 0.506
Answer should be consistent with the data provided and be to three decimal places e.g. 0.123, 0.456 etc.
Please do NOT include any units in your answer
QUESTION 36
What is the adjusted seasonal index for Quarter 4 __________%? 1.350
Answer should be listed to three decimal places in the form 0.123 i.e. 0.123 represents 12.3%, 1.234 represents 123.4% etc.
Please do NOT include the units (%) in your answer.
QUESTION 37
The trend line for this decomposition model can be read off the partial regression printout (at 5 decimal places) to be y = 0.36806 + 0.1195T where T represents Time
Df SS
Regression 1 0.04857
Residual 14 0.00056
Total 15
Coefficients Standard Error
Intercept 0.36806 0.00393
T 0.01195 0.00034
Analysing the partial regression printout, what is the coefficient of determination (r2) for this trend line? (Select the closest correct answer)
a)0.2973
b)0.5452
c)0.7165
d)0.9886
What would be the forecast in Quarter 4, 2009 using the trend line given previously (recall that to three decimal places it was Y = 0.368 + 0.012T) and the relevant adjusted seasonal index? 0.656
Answer should be consistent with the data provided and be to three decimal places e.g. 0.123, 0.456 etc.
Please do NOT include any units in your answer.
QUESTION 39
If we exponentially smooth the data in Table 1 with a smoothing constant of 0.2, the smoothed value for Quarter 2 in 2005 would be? 0.376
Answer should be consistent with the data provided and be to three decimal places e.g. 0.123, 0.456 etc.
Please do NOT include any units in your answer.
QUESTION 40
If we exponentially smooth the data in Table 1 with a smoothing constant of 0.2, the forecast for Quarter 1 2009 would be? 0.605
Answer should be consistent with the data provided and be to three decimal places e.g. 0.123, 0.456 etc.
Please do NOT include any units in your answer.
The following information refers to the next question:
The data below represents the amount of grams of carbohydrates in a sample serving of breakfast cereal.
10
18
24
30
19
22
24
20
18
25
20
22
19
QUESTION 16
The variance for this data would be __________ grams. 22.1410
