[3] The following are sample data provided by a moving company on the weights of six shipments, the distance they were moved, and the damage that was incurred: Weight Distance Damage (1,000 1b) (1,000 miles) (dollars) X1 X2 Y 4.0 1.5 160 3.0 2.2 112 1.6 1.0 69 1.2 2.0 90 3.4 0.8 123 4.8 1.6 186 Given that: 2.857726 -.346528 -1.088886 740 ( X'X ) 1 = 0.104827 0.0211297 X' Y = 2505.4 6 0.676152 1131.4 a- Fit a linear multiple regression model to the data, and state the estimated regression function. How b, and b2 interpreted here? b- Set up the ANOVA table. Conduct an F test to determine whether or not there is a linear association between the damage and the weights and the distance; use a = 0.01. State the alternatives, decision rule, and conclusion. What is the corresponding P-value? c- Calculate the coefficient of multiple determination R2 . How is it interpreted here? d- Obtain a 98% prediction interval for the damage when a shipment weighing 2400 lb IS moved 1200 miles