Business Analytics
Business Analytics
3rd Edition
ISBN: 9780135231715
Author: Evans
Publisher: PEARSON
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Chapter 1, Problem 11PE

In this chapter, we noted the importance of defining and analyzing a problem prior to attempting to find a solution. Consider this example: One of the earliest operations research groups during World War II was conducting a study on the optimum utilization of Spitfire and Hurricane aircraft during the Battle of Britain. Whenever one of these planes returned from battle, the locations of the bullet holes on it were carefully plotted. By repeatedly recording these data over time, and studying the clusters of data, the group was able to estimate the regions of the aircraft most likely to be hit by enemy gunfire, with the objective of reinforcing these regions with special armor. What difficulties do you see here?

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The sales manager of a large automotive parts distributor wants to estimate the total annual sales for each of the company’s regions.  Three factors appear to be related to regional sales: the number of retail outlets in the region, the total personal income of the region, and the number of cars registered in the region. The following table shows the data for 10 regions that were gathered for last year sales.    The excel data file for this problem is:final exam question 6B spring 2021.xlsx     Region Annual sales  ($ million) Number of retail outlets Number of automobiles registered (million) Personal income ($ billion) 1 37.702 1,739 9.27 85.4 2 24.196 1,221 5.86 60.7 3 32.055 1,846 8.81 68.1 4 3.611 120 4.81 20.1 5 17.625 1,096 10.31 33.8 6 45.919 2,290 11.62 95.1 7 29.600 1,687 8.96 69.3 8 8.114 241 6.28 16.5 9 20.116 649 7.77 34.9 10 12.994 1,427 10.92…
Question 1 Stopping Distances   In a study on speed control, it was found that the main reasons for regulations were to make traffic flow more efficient and to minimize the risk of danger.  An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following tables to answer the questions.   MPH BRAKING DISTANCES (FEET) 20 20 30 45 40 81 50 133 60 205 80 411   Assume MPH is going to be used to predict stopping distance. Develop the regression equation for the sample. Can braking distance be accurately predicted from MPH? Estimate the breaking distance if a motor vehicle is travelling at 35 MPH and 76 MPH.
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