The largest commercial fishing enterprise in the southeastern United States is the harvest of shrimp. In a study described in the paper ?Long-term Trawl Monitoring of White Shrimp, Litopenaeus setiferus (Linnaeus), Stocks within the ACE Basin National Estuariene Research Reserve, South Carolina? (Journal of Coastal Research [2008]: 193?199), researchers monitored variables thought to be related to the abundance of white shrimp. One variable the researchers thought might be related to abundance is the amount of oxygen in the water. The relationship between the mean number of white shrimp caught in a single outing and oxygen saturation was described by fitting a regression line using data from 10 randomly selected offshore sites. Computer output is shown below.

a. Is there convincing evidence of a useful linear relationship between the mean number of shrimp caught and oxygen saturation? Explain.

b. Is the relationship strong? Explain why or why not.

c. Construct a 95% confidence interval for b and interpret it in context.

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The regression equation is Mean number caught = - 5859 + 97.2 Saturation Predictor Coef SE Coef 2394 Constant -5859 -2.45 0.040 2.81 Saturation 97.22 34.63 0.023 S = 481.632 R-Sq 49.6% R-Sq (adj) 43.3%