Answered: In an experiment to determine the…

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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Question

In an experiment to determine the factors affecting tensile strength in steel plates, the tensile strength (in kg/mm²), the manganese content (in parts per thousand), and the thickness (in mm) were measured for a sample of 20 plates.
The following MINITAB output presents the results of fitting the model Tensile strength = β₀ + β₁ Manganese + β₂ Thickness.

a) Find the P-value and conclude whether β₁ > 3. Perform the appropriate hypothesis test.

b) Find the P-value and conclude whether β₂ < −0.1. Perform the appropriate hypothesis test.

c) Find a 95% confidence interval for the coefficient of Manganese. Round the answers to three decimal places.

The regressi on equation is
Strength
= 26.641 + 3.3201 Manganese
0.4249 Thickness
Predictor
Constant
StDev
2.72340
Coef
26.641
3.3201
-0.4249
9.78
10.00
-3.37
0.000
0.000
0.004
Manganese
Thickness
0.33198
0.12606
S = 0.8228
R-Sq
86.2%
R-Sq (adj) = 84.6%
%3D
Analysis of Variance
Source
SS
72.01
11.508
83.517
MS
36.005
0.6769
F
Regression
Residual Error
Total
53.19
0.000
17
L N79

P< 0.0005
0.0005 < P < 0.001
0.001 < P< 0.005
0.005 < P < 0.01
0.01 <P< 0.025
0.025 < P < 0.05
0.05 < P< 0.10
0.10 < P < 0.25
0.25 < P < 0.40
P> 0.40
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