# Bardi Correlation Coefficient

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.

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This solution is comprised of a detailed explanation for correlation coefficient. The data analysis tool is used for the regression analysis in excel, correlation coefficient is calculated manually by showing all the formulas and calculations. Full interpretation is given for correlation and regression analysis.