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Sweetness of orange juice. Refer to Exercise,Sweetness of
Chapter 11, Problem 50E(choose chapter or problem)
Sweetness of orange juice. 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 and saved in the OJUICE file. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x).
(a) Find the least squares line for the data.
(b) Interpret and in the words of the problem.
(c) Predict the sweetness index if amount of pectin in the orange juice is 300 ppm.
Questions & Answers
QUESTION:
Sweetness of orange juice. 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 and saved in the OJUICE file. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x).
(a) Find the least squares line for the data.
(b) Interpret and in the words of the problem.
(c) Predict the sweetness index if amount of pectin in the orange juice is 300 ppm.
ANSWER:
Step 1 of 4
Data concerning the sweetness of orange juice and its pectin level, in ppm, are provided
The measurements were taken after 24 production runs at a manufacturing plant.
Table of Orange Juice Sweetness and Pectin Level
