GSCM 209 Week 3 Homework

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Problems 4.47, 4.52, 4.53, and 4.54

4.47 The number of auto accidents in Athens, Ohio, is related to the regional number of registered automobiles in thousands (X1), alcoholic beverage sales in $10,000s (X2), and rainfall in inches (X3). Furthermore, the regression formula has been calculated as:

Y=a+b1X1+b2+X2+b3X3Y=a+b1X1+b2+X2+b3X3

where

Y=numberofautomobileaccidentsa=7.5b1=3.5b2=4.5b3=2.5Y=number of automobile accidentsa=7.5b1=3.5b2=4.5b3=2.5

Calculate the expected number of automobile accidents under conditions a, b, and c:

4.52 Bus and subway ridership for the summer months in London, England, is believed to be tied heavily to the number of tourists visiting the city. During the past 12 years, the data on the next page have been obtained:

4.53 Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years:

4.54 Dave Fletcher, the general manager of North Carolina Engineering Corporation (NCEC), thinks that his firm’s engineering services contracted to highway construction firms are directly related to the volume of highway construction business contracted with companies in his geographic area. He wonders if this is really so, and if it is, can this information help him plan his operations better by forecasting the quantity of his engineering services required by construction firms in each quarter of the year? The following table presents the sales of his services and total amounts of contracts for highway construction over the past eight quarters: