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4. In a study examining the quality of fish after 7 days in ice storage, 10 raw fish of the same kind and size

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4. In a study examining the quality of fish after 7 days in ice storage, 10 raw fish of the same kind and size were caught and prepared for ice storage. Two of the fish were placed in storage immediately after being caught, two were placed in storage 3 hours after being caught, and two each were placed in storage at 6, 9, and 12 hours after being caught. Let y denote a measurement of fish quality (on a 10-point scale) after 7 days of storage, and let x denote the time after being caught that the fish were placed in ice packing. The sample data appear here: 8.5 8.4 7.9 8.1 7.8 7.6 7.3 7.0 6.8 6.7 Y 0 0 3 3 6 6 9 9 12 12 a. Create a GOOD graphic of the data. (Hint: What is the difference between a good graphic and a bad graphic?) b. Use simple linear regression to obtain estimates of the parameters in the model y = a + bx. Write the regression model. c. Interpret the regression model in one or two sentences, in the context of this problem (i.e., in English). d. Generate 95% confidence intervals for the slope estimate. Interpret. e. Predict the 7-day quality of a fish placed in ice storage 10 hours after being caught. What about a fish placed in storage 18 hours after being caught? f. What proportion of the variability in fish quality can be explained by the amount of time until storage?

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