# A shipping company pays transportation costs based on the weight of each shipment. The total weight

September 29, 2018

A shipping company pays transportation costs based on the weight of each shipment. The total weight of a shipment is usually predicted from the number of crates that comprise it, since the actual weighting is not done until after the goods have been loaded. A random sample of 15 shipments is shown below. The information is to be used to analyze the relationship betwen number of crates and weight of shipment and to determine a model that describes the relationship.1. Is there a significant linear relationship between the 2 variables? Conduct an appropriate test at the alpha = 0.05 level of significance.2. What is the estimated simple linear regression equation?3. Test for significance of the population regression slope coefficient.4. Develop a 95% C.I. for the regression model slope coefficient.5. Does the overall model explain a significant amount of the variation in the dependent variable? Use an alpha of 0.05 to conduct the hypothesis test.6. What Percent (%) of the variation in the dependent variable is explained by the independent variable?7. Develop a 95% C.I. for the weight of a single shipment containing 100 crates. This is known as a prediction interval.8. Develop a 95% C.I. for the expected (average) weight of shipments all containing 100 crates.Number of CratesWeight (tons)574.51058.69610.111591301116315.3756.1806.7655.9876.9908.4958.7625.812012.511710.7

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