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: b-1. Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.) x⎯⎯x¯ y⎯⎯y¯ Sx Sy r b-2. State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.) b-3. Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
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:
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b-1. Fill in the blanks. (Round your answers to 3 decimal places. Negative values should be indicated by minus sign.)
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x⎯⎯x¯
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y⎯⎯y¯
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| Sx | |
| Sy | |
| r | |
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b-2. State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.)
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b-3. Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
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b-4. Can we conclude that there is a
positive correlation between distance and time? Use the 0.01 significance level.
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c-1. Determine the coefficient of determination. (Round your answer to 3 decimal places.)
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c-2. Fill in the blank below. (Round your answer to 1 decimal place.)
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Determine the standard error of estimate. (Round your answer to 3 decimal places.)
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Would you recommend using the regression equation to predict shipping time?
multiple choice
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Yes
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No
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