41. Which of the following is the multiple regression model for the data? (a) y = -0.11050 + 2.10797x1 + 0.40717x2 (b) y = -0.11050 + 0.40717x1 + 2.10797x2 (c) y = 0.23563 + 0.00062x1 + 0.23626x2 (d) none (e) y = -0.44187 + 2.42120x1 + 0.36135x2

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
41. Which of the following is the multiple regression model for the data? (a) y = -0.11050 + 2.10797x1 + 0.40717x2 (b) y = -0.11050 + 0.40717x1 + 2.10797x2 (c) y = 0.23563 + 0.00062x1 + 0.23626x2 (d) none (e) y = -0.44187 + 2.42120x1 + 0.36135x2
An article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 2033-2040) reported on a study that had analyzed powdered mixtures of coal and limestone for permittivity. The eror in the density measurement was the
response. The data are reported in Table below.
Dielectric
Density
Loss Factor
Constant
(y)
(x2)
(x)
0.749
2.05
0.016
0.798
2.15
0.02
0.849
2.25
0.022
0.877
2.3
0.023
0.929
2.4
0.026
0.963
2.47
0.028
0.997
2.54
0.031
1.046
2.64
0.034
1.133
2.85
0.039
1.17
2.94
0.042
1.215
3.05
0.045
Multiple Regression Output from EXCEL is shown below at alpha - 0.05
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.99868
R Square
0.99736
Adjusted R Square
0.99670
Standard Error
0.00883
Observations
11
ANOVA
df
2.
MS
Significance F
Regression
0.2356346
4.877E-11
Residual
8
0.0006243
Totl
10
0.2362589
Coefficients Standard Error
-0.11050
0.40717
t Stat
Pvalue
0.67028
Lower 95%
Upper 95%
Lower 95.0% Upper 95.0%
Intercept
0.25007
-0.44187
-0.68716
0.01937
0.46616
-0.68716
0.46616
Dielectric Constant
0.16817
2.42120
0.04177
0.79497
15.56032
0.01937
0.79497
Loss Factor
2.10797
5.83362
0.36135
0.72720
-11.34438
-11.34438
15.56032
Transcribed Image Text:An article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 2033-2040) reported on a study that had analyzed powdered mixtures of coal and limestone for permittivity. The eror in the density measurement was the response. The data are reported in Table below. Dielectric Density Loss Factor Constant (y) (x2) (x) 0.749 2.05 0.016 0.798 2.15 0.02 0.849 2.25 0.022 0.877 2.3 0.023 0.929 2.4 0.026 0.963 2.47 0.028 0.997 2.54 0.031 1.046 2.64 0.034 1.133 2.85 0.039 1.17 2.94 0.042 1.215 3.05 0.045 Multiple Regression Output from EXCEL is shown below at alpha - 0.05 SUMMARY OUTPUT Regression Statistics Multiple R 0.99868 R Square 0.99736 Adjusted R Square 0.99670 Standard Error 0.00883 Observations 11 ANOVA df 2. MS Significance F Regression 0.2356346 4.877E-11 Residual 8 0.0006243 Totl 10 0.2362589 Coefficients Standard Error -0.11050 0.40717 t Stat Pvalue 0.67028 Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.25007 -0.44187 -0.68716 0.01937 0.46616 -0.68716 0.46616 Dielectric Constant 0.16817 2.42120 0.04177 0.79497 15.56032 0.01937 0.79497 Loss Factor 2.10797 5.83362 0.36135 0.72720 -11.34438 -11.34438 15.56032
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar 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