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. Use the results of the regression to form a 95% confidence interval for the slope, β1. Interpret the result.
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).

p 079045-1 8 9 2 0 6 6 9 4 3 1 4 7 32061 2222222423:2 2 3 2 2 2 2 2 2 2 2 s-25098086-6 9 4 6 8 5 3 3 7 5 7 3 9 8 89 e 556556555555555555555555 Run-11 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 20 21 22 23 24