The following data reflect information from 17 U.S. Naval hospitals at various sites around the world. The regressors are workload variables, that is, items that result in the need for personnel in a hospital. A brief description of the variables is as follows:
y= monthly labor-hours,
x1 = average daily patient load,
x2 = monthly X-ray exposures,
x3 = monthly occupied bed-days,
x4 = eligible population in the area/1000,
x5 = average length of patient’s stay, in days.
Site
x1
x2
x3
x4
x5
y
1
15.57
2463
472.92
18.0
4.45
566.52
2
44.02
2048
1339.75
9.5
6.92
696.82
3
20.42
3940
620.25
12.8
4.28
1033.15
4
18.74
6505
568.33
36.7
3.90
1003.62
5
49.20
5723
1497.60
35.7
5.50
1611.37
6
44.92
11,520
1365.83
24.0
4.60
1613.27
7
55.48
5779
1687.00
43.3
5.62
1854.17
8
59.28
5969
1639.92
46.7
5.15
2160.55
9
94.39
8461
2872.33
78.7
6.18
2305.58
10
128.02
20,106
3655.08
180.5
6.15
3503.93
11
96.00
13,313
2912.00
60.9
5.88
3571.59
12
131.42
10,771
3921.00
103.7
4.88
3741.40
13
127.21
15,543
3865.67
126.8
4026.52
14
252.90
36,194
7684.10
157.7
7.00
10,343.81
15
409.20
34,703
12,446.33
169.4
10.75
11,732.17
16
463.70
39,204
14,098.40
331.4
7.05
15,414.94
17
510.22
86,533
15,524.00
371.6
6.35
18,854.45
The goal here is to produce an empirical equation that will estimate (or predict) personnel needs for Naval hospitals. Estimate the multiple linear regression equation
μY |x1,x2,x3,x4,x5
=β0 +β1x1 +β2x2 +β3x3 +β4x4 +β5x5.
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