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 selecte

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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:

51. FILE 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 rela-
tionship 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 ran-
dom 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:
Distance
Shipplng Time
DIstance
Shipplng Time
(days)
Shipment
(miles)
(days)
Shlpment
(mlles)
1
656
11
862
7
2
853
14
12
679
3
646
13
835
13
4
783
11
14
607
610
8
15
665
8
841
10
16
647
7
785
9
17
685
10
8
639
9
18
720
9
762
10
19
652
6.
10
762
9.
20
828
10
a. Draw a scatter diagram. Based on these data, does it appear that there is a relation-
ship between how many miles a shipment has to go and the time it takes to arrive at
its destination?
b. Determine the correlation coefficient. Can we conclude that there is a positive cor-
relation between distance and time? Use the .05 significance level.
c. Determine and interpret the coefficient of determination.
d. Determine the standard error of estimate.
e. Would you recommend using the regression equation to predict shipping time? Why
or why not.
567
Transcribed Image Text:51. FILE 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 rela- tionship 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 ran- dom 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: Distance Shipplng Time DIstance Shipplng Time (days) Shipment (miles) (days) Shlpment (mlles) 1 656 11 862 7 2 853 14 12 679 3 646 13 835 13 4 783 11 14 607 610 8 15 665 8 841 10 16 647 7 785 9 17 685 10 8 639 9 18 720 9 762 10 19 652 6. 10 762 9. 20 828 10 a. Draw a scatter diagram. Based on these data, does it appear that there is a relation- ship between how many miles a shipment has to go and the time it takes to arrive at its destination? b. Determine the correlation coefficient. Can we conclude that there is a positive cor- relation between distance and time? Use the .05 significance level. c. Determine and interpret the coefficient of determination. d. Determine the standard error of estimate. e. Would you recommend using the regression equation to predict shipping time? Why or why not. 567
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