Exam (342).pdf - Question The following data on y = glucose concentration(g\/L and x = fermentation time(days for a particular blend of malt liquor was

Exam (342).pdf - Question The following data on y = glucose...

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Question: The following data on y = glucose concentration (g/L) and x = fermentation time (days) for a particular blend of malt liquor was read from a scatter plot in the article “Improving Fermentation Productivity with Reverse Osmosis†± (Food Tech., 1984: 92–96): x l 2 3 4 5 6 7 8 y 74 54 52 51 52 53 58 71 a. Verify that a scatter plot of the data is consistent with the choice of a quadratic regression model. b. The estimated quadratic regression equation is y = 84.482 – 15.875x + 1.7679x2. Predict the value of glucose concentration for a fermentation time of 6 days, and compute the corresponding residual. c. Using SSE = 61.77, what proportion of observed variation can be attributed to the quadratic regression relationship? d. The n = 8 standardized residuals based on the quadratic model are 1.91, –1.95, –.25, .58, .90, .04, –.66, and .20. Construct a plot of the standardized residuals versus x and a normal probability plot. Do the plots exhibit any troublesome features? e. The estimated standard deviation of —that is, —is 1.69. Compute a 95% CI for μy·6. f. Compute a 95% PI for a glucose concentration observation made after 6 days of fermentation time.
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Answer : From the available information, y = glucose concentration (g/L) and x = fermentation time (days) for a particular blend of malt liquor was read from a scatter plot.
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