Please write legible The following are sample data provided by a moving company on the weights of six shipments,the distances they are moved, and the damage that that was incurred:WeightDistance(1,000 pounds)(1,000 miles)X14.03.01.61.23.44.8X21.52.21.02.00.81.6a) Fit an equation of the form y = bo + b1 x1 + b2 x2Damage(dollars)y1601126990123186

The sample data provided by a moving company on the weights of six shipments, the distances they are moved, and the damage that was incurred. Weight (1,000 pounds) x1 Distance (1,000 miles) x2 Damage (dollars) y 4.0 3.0 1.6 1.2 3.4 4.8 1.5 2.2 1.0 2.0 0.8 1.6 160 112 69 90 123 186 We have to find the equation of the line of the form y=b0+b1x1+b2x2.Formula used: Regression equation: y^=b1x1+b2x2+a b1=SPx1y×SSx2-SPx1x2×SPx2ySSx1×SSx2-SPx1x2×SPx1x2b2=SPx2y×SSx1-SPx1x2×SPx1ySSx1×SSx2-SPx1x2×SPx1x2a=My-b1Mx1-b2Mx2 Calculations: x1 x2 y 4.0 3.0 1.6 1.2 3.4 4.8 1.5 2.2 1.0 2.0 0.8 1.6 160 112 69 90 123 186 18 9.1 740 Mx1=186=3Mx2=9.16=1.5167My=123.3333Further calculations: x1-Mx1 x2-Mx2 y-My x1-Mx12 x2-Mx22 x1-Mx1y-My x2-Mx2y-My x1-Mx1x2-Mx2 1 0 -1.4 -1.8 0.4 1.8 -0.017 0.683 -0.517 0.483 -0.717 0.083 36.667 -11.333 -54.333 -33.333 -0.333 62.667 1 0 1.96 3.24 0.16 3.24 0 0.467 0.267 0.234 0.514 0.007 36.667 0 76.067 60 -0.133 112.8 -0.611 -7.744 28.072 -16.111 0.239 5.222 -0.017 0 0.723 -0.87 -0.287 0.15 SSx1=9.6 SSx2=1.488 SPx1y=285.4 SPx2y=9.067 SPx1x2=-0.3 Now, using the formula b1=SPx1y×SSx2-SPx1x2×SPx2ySSx1×SSx2-SPx1x2×SPx1x2=285.4×1.488--0.3×9.0679.6×1.488--0.3×-0.3=172.6614.2b1=30.10919b2=SPx2y×SSx1-SPx1x2×SPx1ySSx1×SSx2-SPx1x2×SPx1x2=9.067×9.6--0.3×285.49.6×1.488--0.3×-0.3=172.6614.2b2=12.16087a=My-b1Mx1-b2Mx2=123.33-30.11×3-12.16×1.52=123.33-90.33-18.4832a=14.5168 Therefore, the regression becomes y^=30.10919x1+12.16087x2+14.5168.Final answer: The equation of the regression line is y=14.5168+30.10919x1+12.16087x2.