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

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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
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