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

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:

2:

  

3: Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Value of the test statistic_____________

4: Can we conclude that there is a positive correlation between distance and time? Use the 0.05 significance level.

(Do not reject/reject)H0. We (can/cannot) conclude that there is a positive correlation between distance and time.

5: Determine the coefficient of determination.  (Round your answer to 3 decimal places.)

6: Fill in the blank below. (Round your answer to 1 decimal places.)

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

7: Determine the standard error of estimate. (Round your answer to 3 decimal places.)

Standard error__________

State the decision rule for 0.05 significance level: H0: 0; H1: > 0. (Round your answer to 3 decimal places.) Bardi Trucking Co. ocated In Cleveland, Ohio, makes dellverles In the Great Lakes region, the Southeast, and the Northeast. Jlm Bardi, the presldent, ls studying the relationship between the distance a shipment must travel and the length of time, In days, Ittakes the shipment to arrive at Its destination. To Investlgate, Mr. Bardi selected a random sample of 20 shipments made last month. Shipplng distance ls the Independent variable and shipplng tlme ls the dependent variable. The results are as follows: Shipping Time Shipping Time Shipment Distance (miles) (days) Shipment Distance (miles) (days) 808 618 634 622 13 618 13 667 786 14 638 776 15 844 15 783 838 16 14 756 620 17 751 18 840 10 780 19 754 13 10 649 20 742 15

Explanation / Answer

Xbar =726.2

Ybar=9.20

sx =83.3557

sy=3.7781

r=Sxy/(Sx*Sy) = 0.1789

Reject H0 if t > 1.7291

test statistic =r((n-2)/(1-r2))1/2 =0.7713

We (can/cannot) conclude that there is a positive correlation between distance and time.

3.2% of the variation in shipping time is explained by shipping distance.

standard error of estimate =3.819

No

x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 808.00 3.000 6691.24 38.44 -4952.56 9.863123 47.1024619 622.00 12.000 10857.64 7.84 1715.84 8.355288 13.2839265 618.00 8.000 11707.24 1.44 -730.56 8.322861 0.10423942 786.00 8.000 3576.04 1.44 -932.16 9.684777 2.83847424 776.00 9.000 2480.04 0.04 -153.36 9.603711 0.36446671 838.00 3.000 12499.24 38.44 -5138.56 10.10632 50.499821 620.00 6.000 11278.44 10.24 -1954.56 8.339075 5.47126994 751.00 11.000 615.04 3.24 1335.24 9.401045 2.55665796 780.00 11.000 2894.44 3.24 1387.44 9.636137 1.86012132 649.00 7.000 5959.84 4.84 -1407.56 8.574167 2.47800243 618.00 4.000 11707.24 27.04 -3165.76 8.322861 18.6871299 634.00 13.000 8500.84 14.44 2374.24 8.452568 20.6791416 667.00 7.000 3504.64 4.84 -1447.16 8.720087 2.95869852 638.00 6.000 7779.24 10.24 -2012.16 8.484994 6.17519594 844.00 15.000 13876.84 33.64 4841.84 10.15496 23.4743888 783.00 14.000 3226.24 23.04 3714.24 9.660457 18.831631 756.00 9.000 888.04 0.04 -149.36 9.441578 0.19499108 840.00 10.000 12950.44 0.64 664.64 10.12254 0.01501504 754.00 13.000 772.84 14.44 2830.24 9.425365 12.7780178 742.00 15.000 249.64 33.64 4250.24 9.328085 32.1706204 Total 14524.00 184.00 132015.20 271.20 1070.20 262.524271 mean 726.20 9.20 SSx Ssy Sxy

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