Consider the data below. The response is the density of a product. The predictors are the amount of rework material (X₁), the temperature of the product mix (X₂), the air temperature in the drying chamber (X₃), the amount of water in the product mix (X₄), and the raw material (X₅). Complete the following questions. Fit the model Y_i = ₀ + ₁X_i1 + ₂X_i2 + ₃X_i3 + ₄X_i4 + ₅X_i5 + e_i and report your summary. Do you think the above model is adequate?

800 135 578 0 13.195 104 800 135 578 0 13.195 102 800 135 578 0 13.195 100 800 135 578 0 13.195 96 800 135 578 0 13.195 93 800 135 578 0 13.195 103 800 150 585 0 13.180 118 800 150 585 0 13.180 113 800 150 585 0 13.180 107 800 150 585 0 13.180 114 800 150 585 0 13.180 110 800 150 585 0 13.180 114 1000 135 590 0 13.440 97 1000 135 590 0 13.440 87 1000 135 590 0 13.440 92 1000 135 590 0 13.440 85 1000 135 590 0 13.440 94 1000 135 590 0 13.440 102 1000 150 590 0 13.600 104 1000 150 590 0 13.600 102 1000 150 590 0 13.600 101 1000 150 590 0 13.600 104 1000 150 590 0 13.600 98 1000 150 590 0 13.600 101 800 135 550 75 12.745 103 800 135 550 75 12.745 111 800 135 550 75 12.745 111 800 135 550 75 12.745 107 800 135 550 75 12.745 112 800 135 550 75 12.745 106 800 150 595 75 13.885 111 800 150 595 75 13.885 107 800 150 595 75 13.885 104 800 150 595 75 13.885 103 800 150 595 75 13.885 104 800 150 595 75 13.885 103 1000 135 530 75 11.705 116 1000 135 530 75 11.705 108 1000 135 530 75 11.705 104 1000 135 530 75 11.705 116 1000 135 530 75 11.705 116 1000 135 530 75 11.705 112 1000 150 590 75 13.835 111 1000 150 590 75 13.835 110 1000 150 590 75 13.835 115 1000 150 590 75 13.835 114 1000 150 590 75 13.835 114 1000 150 590 75 13.835 114