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# Bardi Correlation Coefficient

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Bardi Trucking Company, 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:

ship dist miles ship time ship dis miles ship time
days days
1 808 3 11 618 4
2 622 12 12 634 13
3 618 8 13 667 7
4 786 8 14 638 6
5 776 9 15 844 15
6 838 3 16 783 14
7 620 6 17 756 9
8 751 11 18 840 10
9 780 11 19 754 13
10 649 7 20 742 15

a) Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.). X
Y
sx
sy
r

b) Determine the coefficient of determination. (Round your answer to 3 decimal places)
c) Fill in the blank below. (Round your answer to 1 decimal place)

______% of the variation in shipping time is explained by shipping distance.