You are an industrial engineer employed by a soft drink beverage bottler to anal
ID: 2986190 • Letter: Y
Question
You are an industrial engineer employed by a soft drink beverage bottler to analyze the
product delivery and service operations for vending machines. You suspect that the time
required by a route deliveryman to load and service machines is related to the number of
cases of product delivered. You visit 25 randomly chosen retail outlets having vending
machines and observe the in-out delivery time (in minutes) and the volume of product
delivered (in cases) for each.
DATA IS BELOW
1. Plot the data. Briefly comment.
2. Fit a simple linear regression equation.
a. How would you explain what the intercept of the equation is telling you
about delivery time and the number of cases delivered?
b. What does the slope of the equation tell you?
3. Note that there were four retail outlets to which 7 cases were delivered, yet the
four deliveries did not all require the same amount of time. What feature of the
linear regression model is illustrated by this?
.
4. Estimate the mean number of additional minutes required per one additional case
delivered, using a 95% confidence interval.
5. Using a 95% confidence interval, estimate the mean time required to deliver 10
cases.
Delivery Time (minutes) No. Of cases
16.68 7
11.50 3
12.03 3
14.88 4
13.75 6
18.11 7
8.00 2
17.83 7
79.24 30
21.50 5
40.33 16
21.00 10
13.50 4
19.75 6
24.00 9
29.00 10
15.35 6
19.00 7
9.50 3
35.10 17
17.90 10
52.32 26
18.75 9
19.83 8
10.75 4
Explanation / Answer
http://media.johnwiley.com.au/product_data/excerpt/10/04705428/0470542810-66.pdf
Hope this helps.
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