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. 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 (☐.). (Round to four decimal places as needed.) Data table Run Sweetness Index Pectin (ppm) 1 5.2 220 2 5.5 226 3 6.0 259 4 5.9 210 5 5.8 224 6 6.0 215 7 5.8 232 8 5.6 266 9 5.6 239 10 5.9 212 11 5.4 410 12 5.6 255 13 5.7 304 14 5.5 259 15 5.3 284 16 5.3 383 17 5.6 271 18 5.5 264 19 5.7 226 NNNNN 20 5.3 263 21 5.9 232 22 5.8 220 23 5.8 247 5.9 241

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
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 (☐.).
(Round to four decimal places as needed.)
Data table
Run Sweetness Index
Pectin (ppm)
1
5.2
220
2
5.5
226
3
6.0
259
4
5.9
210
5
5.8
224
6
6.0
215
7
5.8
232
8
5.6
266
9
5.6
239
10
5.9
212
11
5.4
410
12
5.6
255
13
5.7
304
14
5.5
259
15
5.3
284
16
5.3
383
17
5.6
271
18
5.5
264
19
5.7
226
NNNNN
20
5.3
263
21
5.9
232
22
5.8
220
23
5.8
247
5.9
241
Transcribed Image Text: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. 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 (☐.). (Round to four decimal places as needed.) Data table Run Sweetness Index Pectin (ppm) 1 5.2 220 2 5.5 226 3 6.0 259 4 5.9 210 5 5.8 224 6 6.0 215 7 5.8 232 8 5.6 266 9 5.6 239 10 5.9 212 11 5.4 410 12 5.6 255 13 5.7 304 14 5.5 259 15 5.3 284 16 5.3 383 17 5.6 271 18 5.5 264 19 5.7 226 NNNNN 20 5.3 263 21 5.9 232 22 5.8 220 23 5.8 247 5.9 241
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman