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Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great La

ID: 3222477 • Letter: B

Question

Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows:

      

Bardi Trucking Co., located in Cleveland, Ohio, makes deliveries in the Great Lakes region, the Southeast, and the Northeast. Jim Bardi, the president, is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipping distance is the independent variable and shipping time is the dependent variable. The results are as follows:

Shipment Distance
(miles) Shipping
Time (days) 1 626 5 2 801 11 3 733 4 4 640 3 5 756 13 6 790 8 7 718 8 8 652 3 9 792 12 10 629 4 11 696 9 12 718 10 13 754 3 14 648 4 15 666 3 16 831 10 17 691 13 18 822 9 19 793 3 20 784 11 Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.)

Explanation / Answer

Xbar = 727

Ybar = 7.3

Sx = 68.095

Sy = 3.743

r = 0.518

Reject Ho if t > 2.093

Value of Test Statistics = 2.569

Yes we can conclude that their is a positive correlation between distance and time.

Coefficient of determination = 0.268

27% of the variation time is explained by shipping distance.

Standard error of the estimate = 0.011

Would you recommed using linear regression to predict the shipping time?

NO. As the Coffecient of ditermination is only .268

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