The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. Accordi to thermodynamic principles, a relationship having the form PVk = C, where k and C are constants, should exist between the variables. Use lea squares method and linear regression to solve the following. 1) Find the value of k. a) 1.2 b) 1.3 c) 1.4 d) 1.5 2) Find the value of C (x104). a) 1.3 b) 1.4 c) 1.5 d) 1.6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According
to thermodynamic principles, a relationship having the form PVk = C, where k and C are constants, should exist between the variables. Use least
squares method and linear regression to solve the following.
1) Find the value of k.
a) 1.2 b) 1.3 c) 1.4 d) 1.5
2) Find the value of C (x104).
a) 1.3 b) 1.4 c) 1.5 d) 1.6
3) Estimate P when V = 100.0 in3.
a) 18.9 b) 21.7 c)24.8
d) 29.5
TABLE
V(in³)
54.3
61.8
72.4
88.7
118.6
194.0
P(lb/in2) 61.2 49.5
37.6
28.4
19.2
10.1
Write only the letter corresponding to the correct answer.
Transcribed Image Text:The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to thermodynamic principles, a relationship having the form PVk = C, where k and C are constants, should exist between the variables. Use least squares method and linear regression to solve the following. 1) Find the value of k. a) 1.2 b) 1.3 c) 1.4 d) 1.5 2) Find the value of C (x104). a) 1.3 b) 1.4 c) 1.5 d) 1.6 3) Estimate P when V = 100.0 in3. a) 18.9 b) 21.7 c)24.8 d) 29.5 TABLE V(in³) 54.3 61.8 72.4 88.7 118.6 194.0 P(lb/in2) 61.2 49.5 37.6 28.4 19.2 10.1 Write only the letter corresponding to the correct answer.
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