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Q1. One of the critical factors that determine the success of a catalogue store chain is the availability of products that customers want to buy. If a store is sold out, future sales to that customer are less likely. Because of this, stores are regularly resupplied by delivery trucks operating from a central warehouse. In an analysis of a chain's operations, the general manager wanted to determine the factors that affected how long it took to unload delivery trucks. A random sample of 50 deliveries to one store was observed. The time (in minutes) to unload the truck, the total number of boxes and the total weight (in hundreds of kilograms) of the boxes were recorded. Analyze the sample data to answer the following questions:

a. Determine the multiple regression equation.
b. How well does the model fit the data? Explain using any two statistics from your regression results.
c. Which of the variables is linearly related to the time to unload? What statistics do you use to draw this conclusion
d. Calculate to predict the amount of time needed to unload a truck with 100 boxes of total weight 5000kg.

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