Question
Consider the following data set for an office structure built by Anderson ConstructionCo. The completed building is nine stories. However, construction was interruptedby a fire
Consider the following data set for an office structure built by Anderson ConstructionCo. The completed building is nine stories. However, construction was interruptedby a fire after 5.3357 floors were completed. At the time of the fire, Anderson hadused 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 Excel and createa variable which is the square of FLRCOM. Call this new variable FLRCOMSQ.
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 |
19 | 46015 | 4.4022 |
20 | 50516 | 4.9333 |
21 | 54067 | 5.3357 |
a. Estimate the function:
HOURS = a + b(FLRCOM) + c(FLRCOMSQ).
b.Develop a computer generated graph of this equation.
c. Assume that the fire caused construction to slow down and caused a reduction inefficiency in completing the building. Estimate the number of labor hours needed tocomplete the building if there were no slow down related to the fire. Assume that therelationship that existed between HOURS and FLRCOM and FLRCOMSQ before the fire would havecontinued to exist to the completion of the building had the fire not occurred.
d. Estimate the extra labor hours traceable to the fire.
e. Calculate a 50% confidence interval for Hours to complete all 9 floors of the building had there been no fire.
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