MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Consider the following data set for an office structure built by Anderson Construction Co. The completed building is nine stories. However, construction was interrupted by a fire after 5.3357 floors were completed. At the time of the fire, Anderson had used 54,067 hours of labor to construct the first 5.3357 stories of the building. It then took Anderson an additional 40,750 labor hours to complete this nine-story building.
In this problem, FLRCOM is the number of floors completed, and HOURS is cumulative labor hours to complete the number of floors given by FLRCOM.
Enter the data for FLRCOM and HOURS in Minitab and use one command to create a variable which is the square of FLRCOM. Call this new variable FLRCOMSQ.
- Estimate the
function :
HOURS = a + b(FLRCOM) + c(FLRCOMSQ).
- Graph this equation.
- Assume that the fire caused construction to slow down and caused a reduction in efficiency in completing the building. Estimate the number of labor hours needed to complete the building if there were no slow down related to the fire. Assume that the relationship that existed between HOURS and FLRCOM and FLRCOMSQ before the fire would have continued to exist to the completion of the building had the fire not occurred.
- Estimate the extra labor hours traceable to the fire.
|
Row |
HOURS |
FLRCOM |
|
1 |
800 |
0.0431 |
|
2 |
1575 |
0.0864 |
|
3 |
2708 |
0.1564 |
|
4 |
4110 |
0.2498 |
|
5 |
5721 |
0.3676 |
|
6 |
7955 |
0.5319 |
|
7 |
8012 |
0.5362 |
|
8 |
10765 |
0.7508 |
|
9 |
13757 |
1.0098 |
|
10 |
17257 |
1.3273 |
|
11 |
21121 |
1.6684 |
|
12 |
22435 |
1.8007 |
|
13 |
26194 |
2.1873 |
|
14 |
29971 |
2.5881 |
|
15 |
30266 |
2.6262 |
|
16 |
34296 |
3.0633 |
|
17 |
37027 |
3.3722 |
|
18 |
41556 |
3.8899 |
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- Assume that the fire caused construction to slow down and caused a reduction in efficiency in completing the building. Estimate the number of labor hours needed to complete the building if there were no slow down related to the fire. Assume that the relationship that existed between HOURS and FLRCOM and FLRCOMSQ before the fire would have continued to exist to the completion of the building had the fire not occurred.
- Estimate the extra labor hours traceable to the fire.
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Follow-up Question
- Assume that the fire caused construction to slow down and caused a reduction in efficiency in completing the building. Estimate the number of labor hours needed to complete the building if there were no slow down related to the fire. Assume that the relationship that existed between HOURS and FLRCOM and FLRCOMSQ before the fire would have continued to exist to the completion of the building had the fire not occurred.
- Estimate the extra labor hours traceable to the fire.
Solution
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