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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
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 accompanying table. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x). X Click the icon to view the table. Data regarding oranje juice sweetness Run Sweetness Index Pectin (ppm) a. Find the least squares line for the data. 1 5.1 218 5.5 229 N y = [ + (0)* 3 6.1 262 (Round to four decimal places as needed.) 5.9 209 5.8 226 6.1 217 5.7 232 5.7 265 5.5 238 5.9 211 5.4 407 5.5 253 5.7 305 5.6 256 5.3 283 5.3 387 5.6 273 5.6 263 5.7 225 20 5.3 260 21 5.8 230 22 5.8 219 5.8 245 24 5.9 240
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