Butler trucking company is an independent trucking company in southern California. A major portion of Butler's...
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Butler trucking company is an independent trucking company in southern California. A major portion of Butler's business involves deliveries throughout its local area. To develop better work schedules, the managers want to estimate the total daily travel time for their drivers. The managers believe that the total daily travel time would be closely related to the number of deliveries and the number of miles traveled in making the daily deliveries. A sample of 10 driving assignments provided the data shown below. Driving Assignment 1 2 3 4 5 6 7 8 9 10 Miles Traveled 100 50 100 100 50 80 75 65 90 90 Number of Deliveries 4 3 4 2 2 2 3 4 3 2 Travel Time (hours) 9.3 4.8 8.9 6.5 4.2 6.2 7.4 6.0 7.6 6.1 A). Write down the equation of the sample regression line and carefully interpret the meaning of the coefficients. B). At 5% level of significance, is there sufficient evidence of a linear relationship between travel time and miles traveled? You must show all necessary work for your analysis to be statistically valid. C). At 5% level of significance, is there sufficient evidence of a linear relationship between travel time and the number of deliveries? You must show all necessary work for your analysis to be statistically valid. D). At 5% level of significance, is there sufficient evidence to conclude that the linear model is useful? You must show all necessary work for your analysis to be statistically valid. E). Assess the linear model and explain carefully the procedures used in the assessment. F). Carefully explain the concept of collinearity. Is there evidence of noticeable collinearity as far as the statistical analysis you have performed in this problem? Explain carefully. Discuss the importance of each independent variable on the prediction of the dependent variable and which independent variable seems to provide more information for this prediction. Explain carefully. G). Examine the residual plots. Carefully explain what information each plot provides in terms of the above study? Butler trucking company is an independent trucking company in southern California. A major portion of Butler's business involves deliveries throughout its local area. To develop better work schedules, the managers want to estimate the total daily travel time for their drivers. The managers believe that the total daily travel time would be closely related to the number of deliveries and the number of miles traveled in making the daily deliveries. A sample of 10 driving assignments provided the data shown below. Driving Assignment 1 2 3 4 5 6 7 8 9 10 Miles Traveled 100 50 100 100 50 80 75 65 90 90 Number of Deliveries 4 3 4 2 2 2 3 4 3 2 Travel Time (hours) 9.3 4.8 8.9 6.5 4.2 6.2 7.4 6.0 7.6 6.1 A). Write down the equation of the sample regression line and carefully interpret the meaning of the coefficients. B). At 5% level of significance, is there sufficient evidence of a linear relationship between travel time and miles traveled? You must show all necessary work for your analysis to be statistically valid. C). At 5% level of significance, is there sufficient evidence of a linear relationship between travel time and the number of deliveries? You must show all necessary work for your analysis to be statistically valid. D). At 5% level of significance, is there sufficient evidence to conclude that the linear model is useful? You must show all necessary work for your analysis to be statistically valid. E). Assess the linear model and explain carefully the procedures used in the assessment. F). Carefully explain the concept of collinearity. Is there evidence of noticeable collinearity as far as the statistical analysis you have performed in this problem? Explain carefully. Discuss the importance of each independent variable on the prediction of the dependent variable and which independent variable seems to provide more information for this prediction. Explain carefully. G). Examine the residual plots. Carefully explain what information each plot provides in terms of the above study?
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Answer rating: 100% (QA)
A The sample regression line can be written as Travel time 2457 0043miles traveled 1539number of deliveries The coefficient of the miles traveled variable 0043 indicates that on average for each addit... View the full answer
Related Book For
Project management the managerial process
ISBN: 978-0073403342
5th edition
Authors: Eric W Larson, Clifford F. Gray
Posted Date:
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