Source DF MS F P Regression 1 45.154 45.154 40.38 0.000 Residual Error 7 7.827 1.118 Total 8 52.981 (a) Calculate the least square estimates of the slope and intercept. What is the estimate of o?? Round your answers to 3 decimal places. i -0.277 i 32.049 i 1.057 (b) Find the estimate of the mean deflection if the stress level can be limited to 73%. Round your answer to 2 decimal places. (c) Estimate the change in the mean deflection associated with a 4% increment in stress level. Round your answer to 2 decimal places. (d) To decrease the mean deflection by 1.0 millimeters, how much increase in stress level must be generated? Round your answer to 2 decimal places. (e) Given that the stress level is 68%, find the fitted value of deflection and the corresponding residuals. Round your answers to 2 decimal places. Fitted value - Residuals (enter in ascending order of value): i i
Source DF MS F P Regression 1 45.154 45.154 40.38 0.000 Residual Error 7 7.827 1.118 Total 8 52.981 (a) Calculate the least square estimates of the slope and intercept. What is the estimate of o?? Round your answers to 3 decimal places. i -0.277 i 32.049 i 1.057 (b) Find the estimate of the mean deflection if the stress level can be limited to 73%. Round your answer to 2 decimal places. (c) Estimate the change in the mean deflection associated with a 4% increment in stress level. Round your answer to 2 decimal places. (d) To decrease the mean deflection by 1.0 millimeters, how much increase in stress level must be generated? Round your answer to 2 decimal places. (e) Given that the stress level is 68%, find the fitted value of deflection and the corresponding residuals. Round your answers to 2 decimal places. Fitted value - Residuals (enter in ascending order of value): i i
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
ANSWER D AND E
Transcribed Image Text:An article in Wood Science and Technology ("Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content and
Level of Stressing on Rate of Creep Time to Failure," Vol. 15, 1981, pp. 125-144) describes the results of a study of the deflection (mm)
of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear
regression model. The data are shown below:
Stress level (%) Deflection (mm)
y
54
16.473
54
18.693
61
14.305
61
15.121
68
13.505
68
11.640
75
11.168
75
12.534
75
11.224
Minitab was used to fit a regression equation to the above data set. The results follow.
Predictor
Coef SE Coef
Constant
32.049
2.885 11.11 0.000
Stress level -0.27712 0.04361 -6.35 0.000
S= 1.05743, R-Sq = 85.2%, R-Sq(adj) = 83.1%
Analysis of Variance
Transcribed Image Text:Source
DF
MS
F P
Regression
1 45.154 45.154 40.38 0.000
Residual Error
7 7.827
1.118
Total
8 52.981
(a) Calculate the least square estimates of the slope and intercept. What is the estimate of o?
Round your answers to 3 decimal places.
-0.277
i 32.049
i 1.057
(b) Find the estimate of the mean deflection if the stress level can be limited to 73%.
Round your answer to 2 decimal places.
(c) Estimate the change in the mean deflection associated with a 4% increment in stress level.
Round your answer to 2 decimal places.
i
(d) To decrease the mean deflection by 1.0 millimeters, how much increase in stress level must be generated?
Round your answer to 2 decimal places.
(e) Given that the stress level is 68%, find the fitted value of deflection and the corresponding residuals.
Round your answers to 2 decimal places.
Fitted value = i
Residuals (enter in ascending order of value): i
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman