Q4An engineer wants to investigate the effect of operating temperature to polyethylene (PE)material reliability (in terms of Derating Factor, the higher the better, maximum value is1.00) to be used for outdoor piping systems. Data are gathered as in Table Q4.Table Q4(a)(b)Experimentno.123(c)45678910Operating temperature (°C), A Derating Factor, B101010Given Σ 4 = 23801, Σ Β = 4.84, ΣΑΒ; = 237.4i=1i=1i=121273238434954606671Determine Sxx, Syy, and Sxy.1.000.900.900.800.800.700.500.400.200.00Determine the slope and intercept for the regression line using values calculatedfrom Q4(a).Determine the estimated regression line equation.

Answered: (a) (b) Determine Sxx, Syy, and Sxy.…

(a) (b) Determine Sxx, Syy, and Sxy. Determine the slope and intercept for the regression line using values calculated from Q4(a). Determine the estimated regression line equation.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Question

Q4
An engineer wants to investigate the effect of operating temperature to polyethylene (PE)
material reliability (in terms of Derating Factor, the higher the better, maximum value is
1.00) to be used for outdoor piping systems. Data are gathered as in Table Q4.
Table Q4
(a)
(b)
Experiment
no.
1
2
3
(c)
45
6
7
8
9
10
Operating temperature (°C), A Derating Factor, B
10
10
10
Given Σ 4 = 23801, Σ Β = 4.84, ΣΑΒ; = 237.4
i=1
i=1
i=1
21
27
32
38
43
49
54
60
66
71
Determine Sxx, Syy, and Sxy.
1.00
0.90
0.90
0.80
0.80
0.70
0.50
0.40
0.20
0.00
Determine the slope and intercept for the regression line using values calculated
from Q4(a).
Determine the estimated regression line equation.

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