An experiment was conducted to study the size of squid eaten by sharks and tuna. The regressor variables are characteristics of the beaks of the squid. The data are given as follows:

In the study, the regressor variables and response considered are

x₁ = rostral length, in inches,
x₂ = wing length, in inches,
x₃ = rostral to notch length, in inches,
x₄ = notch to wing length, in inches,
x₅ = width, in inches,
y   = weight, in pounds.

Estimate the multiple linear regression equation

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

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X2 Хз X5 1.31 0.44 1.07 0.75 0.35 1.95 0.47 1.55 1.49 0.53 0.90 2.90 0.99 0.84 0.34 0.57 0.32 0.72 0.99 0.83 0.34 0.54 0.27 0.81 0.30 1.01 0.90 0.36 0.64 1.09 1.09 1.08 0.93 0.42 0.61 0.31 1.22 0.90 0.40 0.51 0.31 1.02 0.77 1.27 1.08 0.44 0.34 1.93 0.99 1.34 0.85 0.36 0.56 0.29 0.64 0.37 1.13 0.45 0.77 2.08 1.10 1.10 0.45 0.48 0.60 0.38 0.38 0.65 1.30 0.76 1.98 1.90 8.56 1.33 0.77 1.86 1.47 1.01 0.52 0.50 0.59 4.49 1.58 1.34 0.95 0.67 0.66 0.63 8.49 1.97 1.59 1.20 0.59 0.59 0.63 1.80 1.56 1.02 6.17 7.54 1.75 1.58 1.09 1.72 1.43 0.64 1.02 6.36 7.63 7.78 0.72 0.96 1.68 1.57 0.68 1.75 1.59 0.68 1.08 0.62 2.19 1.86 0.75 1.24 0.72 10.15 1.73 1.67 0.64 1.14 0.55 6.88