The following data reflect information from 17 U.S. Navy 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.

The goal here is to produce an empirical equation that will estimate (or predict) personnel needs for naval hos pitals. Estimate the multiple linear regression equation

μ_Y |_{x1,x2,x3,x4,x5}
= Î²₀ + β₁x₁ + β₂x₂ + β₃x₃ + β₄x₄ + β₅x₅.

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Site X4 X5 x2 з 566.52 15.57 44.02 3 2463 472.92 18.0 4.45 2048 1339.75 9.5 6.92 696.82 20.42 3940 620.25 12.8 4.28 1033.15 18.74 6505 568.33 36.7 3.90 1003.62 35.7 49.20 5723 1497.60 5.50 1611.37 44.92 11,520 5779 55.48 1365.83 24.0 4.60 1613.27 1687.00 43.3 5.62 1854.17 5969 59.28 9. 1639.92 46.7 5.15 2160.55 94.39 10 128.02 20,106 96.00 13,313 12 131.42 10,771 13 127.21 15,543 14 252.90 36,194 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 17 510.22 86,533 15,524.00 371.6 6.18 6.15 8461 2872.33 78.7 2305.58 3503.93 3571.59 3655.08 180.5 5.88 4.88 5.50 11 2912.00 60.9 3921.00 103.7 3741.40 3865.67 126.8 4026.52 7.00 10,343.81 7684.10 157.7 7.05 15,414.94 6.35 18,854.45