Question
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
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 below. Suppose a manufacturer wants to use simple linear regression to predict 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 300ppm
Please refer below table:
RUN SWEETNESS INDEX PECTIN (ppm)
1 5.2 220
2 5.5 227
3 6 259
4 5.9 210
5 5.8 224
6 6 215
7 5.8 231
8 5.6 268
9 5.6 239
10 5.9 212
11 5.4 410
12 5.6 256
13 5.8 306
14 5.5 259
15 5.3 284
16 5.3 383
17 5.7 271
18 5.5 264
19 5.7 227
20 5.3 263
21 5.9 232
22 5.8 220
23 5.8 246
24 5.9 241
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