The quality of the orange juice produced by a manufacturer 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. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x). Find a 90% confidence interval for the true slope of the line. Interpret the result. Run Sweetness Index Pectin (ppm) 1 5.2 220 2 5.5 226 3 6.0 258 4 5.9 210 5 5.8 224 6 6.0 215 7 5.8 234 8 5.6 269 9 5.6 239 10 5.9 212 11 5.4 410 12 5.6 253 13 5.8 307 14 5.5 259 15 5.3 284 16 5.3 383 17 5.7 271 18 5.5 264 19 5.7 226 20 5.3 263 21 5.9 233 22 5.8 220 23 5.8 244 24 5.9 241 Click the icon to view the data collected on these two variables during 24 production runs at a juice-manufacturing plant. A 90% confidence interval for the true slope of the line is (enter your response here,enter your response here). (Round to four decimal places as needed.) Choose the correct answer below. A. We are 10% confident that the change in the mean sweetness index for each one unit change in the pectin is between the limits of the confidence interval. B. We are 90% confident that the change in the mean sweetness index for each one unit change in the pectin is between the limits of the confidence interval. C. We are 90% confident that the change in the mean sweetness index for each one unit change in the pectin is not between the limits of the confidence interval.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section: Chapter Questions

Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...

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The quality of the orange juice produced by a manufacturer 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. Suppose a manufacturer wants to use simple linear regression to predict the sweetness (y) from the amount of pectin (x). Find a 90% confidence interval for the true slope of the line. Interpret the result.

Run Sweetness Index Pectin (ppm)
1 5.2 220
2 5.5 226
3 6.0 258
4 5.9 210
5 5.8 224
6 6.0 215
7 5.8 234
8 5.6 269
9 5.6 239
10 5.9 212
11 5.4 410
12 5.6 253
13 5.8 307
14 5.5 259
15 5.3 284
16 5.3 383
17 5.7 271
18 5.5 264
19 5.7 226
20 5.3 263
21 5.9 233
22 5.8 220
23 5.8 244
24 5.9 241

Click the icon to view the data collected on these two variables during 24 production runs at a juice-manufacturing plant.

A 90% confidence interval for the true slope of the line is

(enter your response here,enter your response here).

(Round to four decimal places as needed.)

Choose the correct answer below.

We are 10% confident that the change in the mean sweetness index for each one unit change in the pectin is between the limits of the confidence interval.

We are 90% confident that the change in the mean sweetness index for each one unit change in the pectin is between the limits of the confidence interval.

We are 90% confident that the change in the mean sweetness index for each one unit change in the pectin is not between the limits of the confidence interval.

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