Consider the relationship between the total weight of a ship

Consider the relationship between the total weight of a shipment of 50-pound bags of flour and the number of bags in the shipment.

5050.00
10249.00
20000.00
7420.00
24685.00
10206.00
7325.00
4958.00
7162.00
24000.00
4900.00
14501.00
28000.00
17002.00

16100.00

1. The very first shipment is of 100 50-pound bags, but its weight is not exactly 100 ´ 50 = 5,000. In fact, there is no case where the total shipment weight is 50 ´ number of bags. How can this be?

2. Plot weight against number of bags and comment on the relationship.

3. Regress weight on number of bags, and state the equation you would use to estimate the weight from the number of bags.

4. Are these data consistent with the hypothesis that if there are no bags in the shipment, the weight of the shipment should be zero? Support your answer statistically.

Solution