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Refer to the simple linear regression relating y = sweetness index of an orange juice sample with x = amount of water-soluble pectin, Exercise 11.22 and the data saved in the file. Find and interpret the coefficient of determination, r2, and the coefficient of correlation, r.

Exercise 11.22

The quality of the orange juice produced by a manufacturer (e.g., Minute Maid, Tropicana) is constantly monitored. There are numerous sensory and chemical components that combine to make the best-tasting orange juice. For example, one manufacturer has developed a quantitative index of the "sweetness" of orange juice. (The higher the index, the sweeter the juice.) Is there a relationship between the sweetness index and a chemical measure such as the amount of water-soluble pectin (parts per million) in the orange juice? Data collected on these two variables for 24 production runs at a juice manufacturing plant are shown in the table on the next page. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (v) from the amount of pectin (x).

Exercise 11.22

The quality of the orange juice produced by a manufacturer (e.g., Minute Maid, Tropicana) is constantly monitored. There are numerous sensory and chemical components that combine to make the best-tasting orange juice. For example, one manufacturer has developed a quantitative index of the "sweetness" of orange juice. (The higher the index, the sweeter the juice.) Is there a relationship between the sweetness index and a chemical measure such as the amount of water-soluble pectin (parts per million) in the orange juice? Data collected on these two variables for 24 production runs at a juice manufacturing plant are shown in the table on the next page. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (v) from the amount of pectin (x).

12th Edition

Authors: James T. McClave, P. George Benson, Terry T Sincich

ISBN: 9780321826237