An article reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the modelElongation = β0 + β1Oxygen + β2Nitrogen + β3Oxygen·Nitrogena) Find the P-value for testing H0:β2≤-1000H0:β2≤-1000 . Can we conclude that β2 > -1000? The regression equation isElongation = 46.80 - 130.11 Oxygen807.1 Nitrogen + 3580.5 Oxy NitCoef46.802- 130.11- 807.103580.5SE Coef3.70220.467158.03958.05Predictor12.640.0000.0000.0000.001ConstantOxygenNitrogenOxy NitS = 2.809- 6.36- 5.1073.737R-Sq74.5%R-Sq(adj) = 72.3%Analysis of VarianceDFSourceRegressionResidual ErrorTotalSS805.43276.111081.54MS268.487.8934.030.0003538

Consider that β2 is the slope coefficient of the Nitrogen. The null hypothesis is, H0: β2 ≤ -1000.…

Answered: An article reports an experiment to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article reports an experiment to predict various properties of titanium welds. Among other properties, the elongation (in %) was measured, along with the oxygen content and nitrogen content (both in percent). The following MINITAB output presents results of fitting the model

Elongation = β₀ + β₁Oxygen + β₂Nitrogen + β₃Oxygen·Nitrogen

a) Find the P-value for testing H0:β2≤-1000H0:β2≤-1000 . Can we conclude that β₂ > -1000?

The regression equation is
Elongation = 46.80 - 130.11 Oxygen
807.1 Nitrogen + 3580.5 Oxy Nit
Coef
46.802
- 130.11
- 807.10
3580.5
SE Coef
3.702
20.467
158.03
958.05
Predictor
12.64
0.000
0.000
0.000
0.001
Constant
Oxygen
Nitrogen
Oxy Nit
S = 2.809
- 6.36
- 5.107
3.737
R-Sq
74.5%
R-Sq(adj) = 72.3%
Analysis of Variance
DF
Source
Regression
Residual Error
Total
SS
805.43
276.11
1081.54
MS
268.48
7.89
34.03
0.000
35
38

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