An experiment was conducted to study the size of squid eaten by sharks and tuna. The regressor variables are characteristics of the beak or mouth of the squid. The regressor variables and response considered for the study are

x ₁ = rostral length, in inches,

x ₂ = wing length, in inches,

x ₃ = rostral to notch length, in inches,

x ₄ = notch to wing length, in inches,

x ₅ = width, in inches,

y = weight, in pounds. Estimate the multiple linear regression equation μ _Y׀_{x1, x 2, x3, x4, x5} = 00 + β₁x_l + β₂x₂ + 03X3 + β₄x₁ + β₅x₅

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