(c) (d) Determine the estimated regression line equation. Calculate the coefficient of Pearson correlation. (e) If the surrounding temperature in the target installation location is averaged 55°C, argue whether the PE should be used for the piping systems. Support your answer with calculation using linear regression equation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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Q4 CDE STATISTIC

SUBJECT : STATISTIC

PLEASE ANSWER ASAP

Q4
(d)
(e)
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.
(c)
Table Q4
Experiment Operating temperature (°C), A Derating Factor, B
no.
1
2
3
4
5
6
7
8
9
10
21
27
32
38
43
49
54
60
66
71
10
10
10
Given Σ 4 = 23801, Σ Β = 4.84, ΣΑΒ; = 237.4
i=1
i=1
i=1
1.00
0.90
0.90
0.80
0.80
0.70
0.50
0.40
0.20
0.00
Determine the estimated regression line equation.
Calculate the coefficient of Pearson correlation.
If the surrounding temperature in the target installation location is averaged 55°C,
argue whether the PE should be used for the piping systems. Support your answer
with calculation using linear regression equation.
Transcribed Image Text:Q4 (d) (e) 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. (c) Table Q4 Experiment Operating temperature (°C), A Derating Factor, B no. 1 2 3 4 5 6 7 8 9 10 21 27 32 38 43 49 54 60 66 71 10 10 10 Given Σ 4 = 23801, Σ Β = 4.84, ΣΑΒ; = 237.4 i=1 i=1 i=1 1.00 0.90 0.90 0.80 0.80 0.70 0.50 0.40 0.20 0.00 Determine the estimated regression line equation. Calculate the coefficient of Pearson correlation. If the surrounding temperature in the target installation location is averaged 55°C, argue whether the PE should be used for the piping systems. Support your answer with calculation using linear regression equation.
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