Statistics Case Study Essay

2322 Words Sep 19th, 2013 10 Pages
Executive Overview, Part I
The management staff at a hotel located in a popular Caribbean resort area is engaged in planning activities for the next year. Fundamental to any plans made will be the expected occupancy rate of the hotel. The management staff has extracted quarterly occupancy rates for the past 5 years from the hotel records to forecast the occupancy rates for quarters 1, 2, 3 and 4 of next year.
Observing that this is a time series problem, we first generated a time series plot of the occupancy rate. And we can see a seasonal pattern from the plot. (See Figure 1 in Appendix A) Given the data, since year and quarter are both qualitative variables, we first transferred each quarter in each year in to a period number. Quarter
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The Normal Probability plot can be assumed normal, but the fitted vs. residuals seems to have more variation at the upper levels compared to the low or middle fitted values. The histogram is essentially symmetric and bell-shaped which indicates that the normality assumption is likely to be true. The Versus Order residuals appear to be randomly scattered about zero and all other points were found in the range of +0.05 and -0.05, except points 7, 11, and 14.

Executive Overview, Part II
The objective of television commercials is to have as many viewers as possible remember the featured product or service in a favorable way and eventually buy it. In an experiment designed to investigate determinants of viewers’ memory of products advertised on commercial television, a random sample of 60 people were asked to watch a 1-hour television program. In the middle of the program, a commercial advertising a particular product appeared. Some viewers watched a commercial that lasted for 20 seconds; others watched one that lasted for 24 seconds, 28 seconds... 60 seconds. In addition to varying length (Length), the theme of the commercial was one of humorous (H), musical (M), or serious (S). The theme and length of commercial viewed by each individual was randomly determined. After the show, a memory test was given, and a score (Test), measured on a 30-point scale, was recorded for each participant.
Our experiment was designed to investigate relationships between

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