Answer Happy

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: Shipping Time Distance (miles) 656 Shipment 1 Shipping Time (days) (days) 5 Distance (miles) 862 Shipment 11 7 2 853 14 12 679 3 646 6 13 835 4 783 11 14 607 5 610 8 15 665 6 841 10 16 647 7 785 9 17 685 8 639 9 18 720 8 9 762 19 652 6 10 762 9 20 828 10 Click here for the Excel Data File a. Draw a scatter diagram. Based on these data, does it appear that there is a relationship between how many miles a shipment has to go and the time it takes to arrive at its destination? 1. On the graph below, use the point tool to plot the point corresponding to the first Distance and its Shipping Time (Distance 1). 2. Repeat the process for the remainder of the sample Distance 2, Distance 3, ...). 3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y. 10 12 ww 10 5 13 3 8 7 10
Days 15 10 I 0 600 700 Distance 800 900 Tools Distance 1 Distance 3 Distance 5 Distance 2 Distance 4 Distance 6
b-1. Using a 0.05 significance level, state the null and alternate hypotheses. Ho: p ≤ 0 and H₁: p>0 Ho: p≥ 0 and H₁: p<0 Ho: p≤0 and H₁: p<0 Ho: p ≤ 0 and H₁: p≥ 0 b-2. Using a 0.05 significance level, what is the test statistics? (Round your answer to 2 decimal places.) The test statistics is b-3. Using a 0.05 significance level, what is the p-value? (Round your answer to 4 decimal places.) p-value
b-4. Using a 0.05 significance level, what is your decision regarding the null hypotheses? Decision: Ho. b-5. At the 0.05 significance level, can we conclude that there is a positive correlation between distance and time? O Yes O No c-1. Determine the coefficient of determination. (Round your answer to 3 decimal places.) Coefficient of determination
c-2. Fill in the blank below. (Round your answer to 1 decimal place.) % of the variation in shipping time is explained by shipping distance. d. Determine the standard error of estimate. (Round your answer to 3 decimal places.) Standard error e. Would you recommend using the regression equation accurately predict shipping time? Yes O No