Geoduck clams are an economically important type of large burrowing clam found off the west coast...

 

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Geoduck clams are an economically important type of large burrowing clam found off the west coast of North America. Between 1990 and 2008, geoduck clams were collected at various sites in BC by Fisheries and Oceans Canada, and biological parameters such as the weight and length of the clams were measured. The researchers wanted to use a multiple linear regression model to explore the relationship between Total Weight (Y) in grams, Age (X) in years, and Shell Length (X) in mm based on a sample of 1828 clams. The average age of the clams is 51.81 years with an average Shell Length of 132.18 mm. The fitted equation that the researchers found is Total Weight = -1226.83+1.4801 Age + 14.53 Shell Length with R = 68.41%. Selected Minitab output is below to use in answering questions. The researchers have created 99% Confidence Intervals and Prediction Intervals for the Total Weight of clams that are 70 years old and have a Shell Length of 174 mm: Prediction Fit 1404.997 In the space below, answer the following questions: [You may assume that all necessary assumptions and conditions are met.] 1. Interpret the 99% CI in context. 2. Interpret the 99% PI in context. B SE Fit 99% CI 7.612 (1385.206, 1424.788) IUSI 99% PI (796.037, 2013.957) Insert Formula Geoduck clams are an economically important type of large burrowing clam found off the west coast of North America. Between 1990 and 2008, geoduck clams were collected at various sites in BC by Fisheries and Oceans Canada, and biological parameters such as the weight and length of the clams were measured. The researchers wanted to use a multiple linear regression model to explore the relationship between Total Weight (Y) in grams, Age (X) in years, and Shell Length (X) in mm based on a sample of 1828 clams. The average age of the clams is 51.81 years with an average Shell Length of 132.18 mm. The fitted equation that the researchers found is Total Weight = -1226.83+1.4801 Age + 14.53 Shell Length with R = 68.41%. Selected Minitab output is below to use in answering questions. The researchers have created 99% Confidence Intervals and Prediction Intervals for the Total Weight of clams that are 70 years old and have a Shell Length of 174 mm: Prediction Fit 1404.997 In the space below, answer the following questions: [You may assume that all necessary assumptions and conditions are met.] 1. Interpret the 99% CI in context. 2. Interpret the 99% PI in context. B SE Fit 99% CI 7.612 (1385.206, 1424.788) IUSI 99% PI (796.037, 2013.957) Insert Formula

Answer rating: 100% (QA)

1 The 99 Confidence Interval CI in this context means that we are 99 confident that the true mean To... View the full answer