(a) Does the simple linear regression model appear to be appropriate? Explain. Yes, a scatter plot of the data shows a strong, linear pattern, and ² = 98.5%. O Yes, a scatter plot of the data shows a weak, linear pattern, and 2 = 98.5%. O No, a scatter plot of the data shows a strong, linear pattern, and r² = 98.5%. O No, a scatter plot of the data shows a weak, non-linear pattern, and r² = 98.5%. (b) What wrinkle resistance angle would you predict for a fabric specimen having an absorbance of 0.315? (Round your answer to two decimal places.) (c) What would be the estimate of the expected wrinkle resistance angle when absorbance is 0.315? (Round your answer to two decimal places.)

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
Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle
resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with
Infrared Spectroscopy".†
x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651
y 334 342 355 363
365 372 381 392
400 412 420
Here is regression output from Minitab:
Predictor
Constant
absorb
S = 3.60498
Coef
321.878
156.711
SOURCE
Regression
Residual Error
Total
SE Coef
2.483
6.464
R-Sq = 98.5%
DF
1
9
10
SS
7639.0
117.0
7756.0
T
129.64
24.24
0.000
0.000
R-Sq (adj) = 98.3%
MS
7639.0
13.0
F
P
587.81
(a) Does the simple linear regression model appear to be appropriate? Explain.
Yes, a scatter plot of the data shows a strong, linear pattern, and r² = 98.5%.
Yes, a scatter plot of the data shows a weak, linear pattern, and ² = 98.5%.
O No, a scatter plot of the data shows a strong, linear pattern, and r² = 98.5%.
O No, a scatter plot of the data shows a weak, non-linear pattern, and 2 = 98.5%.
P
0.000
(b) What wrinkle resistance angle would you predict for a fabric specimen having an absorbance of 0.315? (Round your answer to two decimal places.)
(c) What would be the estimate of the expected wrinkle resistance angle when absorbance is 0.315? (Round your answer to two decimal places.)
Transcribed Image Text:Wrinkle recovery angle and tensile strength are the two most important characteristics for evaluating the performance of crosslinked cotton fabric. An increase in the degree of crosslinking, as determined by ester carboxyl band absorbance, improves the wrinkle resistance of the fabric (at the expense of reducing mechanical strength). The accompanying data on x = absorbance and y = wrinkle resistance angle was read from a graph in the paper "Predicting the Performance of Durable Press Finished Cotton Fabric with Infrared Spectroscopy".† x 0.115 0.126 0.183 0.246 0.282 0.344 0.355 0.452 0.491 0.554 0.651 y 334 342 355 363 365 372 381 392 400 412 420 Here is regression output from Minitab: Predictor Constant absorb S = 3.60498 Coef 321.878 156.711 SOURCE Regression Residual Error Total SE Coef 2.483 6.464 R-Sq = 98.5% DF 1 9 10 SS 7639.0 117.0 7756.0 T 129.64 24.24 0.000 0.000 R-Sq (adj) = 98.3% MS 7639.0 13.0 F P 587.81 (a) Does the simple linear regression model appear to be appropriate? Explain. Yes, a scatter plot of the data shows a strong, linear pattern, and r² = 98.5%. Yes, a scatter plot of the data shows a weak, linear pattern, and ² = 98.5%. O No, a scatter plot of the data shows a strong, linear pattern, and r² = 98.5%. O No, a scatter plot of the data shows a weak, non-linear pattern, and 2 = 98.5%. P 0.000 (b) What wrinkle resistance angle would you predict for a fabric specimen having an absorbance of 0.315? (Round your answer to two decimal places.) (c) What would be the estimate of the expected wrinkle resistance angle when absorbance is 0.315? (Round your answer to two decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 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