You own a professional house painting company and employ high-skilled and low-skilled painters. The data below show the

[answerhappygod]

You own a professional house painting company and employ
high-skilled and low-skilled painters. The data below show the
number

of each type of painter you assigned to each job and the number of
hours the painters required to complete the job.



Use regression analysis to build the following model to predict how
much time it will take to complete a job based on the number of
painters.

Hours = a + b1 (# high-skilled painters) + b2 (# low-skilled
painters) + b3 (# high-skilled workers x # low-skilled workers) +
u


What fraction of the variation in the number of hours to complete a
job is explained by fluctuations in the numbers of
workers?



According to your model, if you have 6 low-skilled workers, adding
one high-skilled painter to a crew will decrease the total time
required to complete a job by how many hours?




According to your model, if you have 4 high-skilled workers, adding
one low-skilled painter to a crew will decrease the total time
required to complete a job by how many hours?




A high-skilled painter costs you $20 per hour and a low-skilled
painter costs you $12 per hour. You currently employ 1 high-skilled
and 5 low-skilled workers.

According to your model, adding a second high-skilled worker to a
job will change your total labor cost by what amount?





Job Hours to
Complete High-skilled Painters
Low-skilled Painters
1 47 4
8
2 90 1
5
3 87 2
2
4 49 6
5
5 64 4
7
6 53 3
9
7 83 1
7
8 62 6
2
9 43 6
4
10 82 2
2
11 84 1
6
12 63 3
7
13 80 1
8
14 79 1
9
15 42 6
6
16 33 6
9
17 79 2
8
18 19 6
9
19 98 1
4
20 92 1
5
21 58 6
2
22 59 3
9
23 68 5
2
24 70 4
3
25 39 5
8
26 85 1
6
27 60 3
7
28 83 3
2
29 53 3
9
30 75 2
4
31 29 6
6
32 45 5
6
33 71 2
8
34 68 5
2
35 42 6
5
36 68 3
7
37 70 5
2
38 87 3
2
39 79 3
4
40 46 6
6