Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
ed to obtain water flow speed u in m/s at different time steps / in minutes. For the four data points, presented in the following table, obtained from the test i 1 2 3 4 Time (t) Speed (v) 0.5 0.98 1.5 2.98 2.5 8.78 3.5 15.18 the following quadratic model (equation) is chosen to fit the experimental points y(x) = a₁x + ₂x² (a) The following system of equations is used to calculate the regression coefficients a₁ and 2:

ed to obtain water flow speed u in m/s at different time steps / in minutes. For the four data points, presented in the following table, obtained from the test i 1 2 3 4 Time (t) Speed (v) 0.5 0.98 1.5 2.98 2.5 8.78 3.5 15.18 the following quadratic model (equation) is chosen to fit the experimental points y(x) = a₁x + ₂x² (a) The following system of equations is used to calculate the regression coefficients a₁ and 2:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Please provide 3 sig. digits and DO NOT approximate numbers for intermediate steps
A test is conducted to obtain water flow speed u in m/s at different time steps t in minutes. For the four data points, presented in the following table, obtained from the test i 1 2 3 4 Time (t) Speed (v) 0.5 0.98 1.5 2.98 2.5 8.78 3.5 15.18 the following quadratic model (equation) is chosen to fit the experimental points y(x) = a₁x + ₂x² (a) The following system of equations is used to calculate the regression coefficients a1 and 42: n Σ fi(xi)fi(xi) [f1(x;)ƒ2(x;) i=1 n Σ f2(xi)f1(xi) i=1 i=1 194.25 (2)-(2) = 247.78 a1 a2
Transcribed Image Text:A test is conducted to obtain water flow speed u in m/s at different time steps t in minutes. For the four data points, presented in the following table, obtained from the test i 1 2 3 4 Time (t) Speed (v) 0.5 0.98 1.5 2.98 2.5 8.78 3.5 15.18 the following quadratic model (equation) is chosen to fit the experimental points y(x) = a₁x + ₂x² (a) The following system of equations is used to calculate the regression coefficients a1 and 42: n Σ fi(xi)fi(xi) [f1(x;)ƒ2(x;) i=1 n Σ f2(xi)f1(xi) i=1 i=1 194.25 (2)-(2) = 247.78 a1 a2
Calculate the following values: P Σ f1(x;)ƒ1(x;) = i=1 Σ ƒ1(x;)ƒ2(x;) = Σ f2(x)f(x) = i=1 PL Σ yifi(x) = i=1 (b) Solve the above system of equations to obtain the nonlinear equation coefficients a₁ and ₂: a1 = a2 = (c) Find the predicted value of the speed u at t = 3 (- v(3) =
Transcribed Image Text:Calculate the following values: P Σ f1(x;)ƒ1(x;) = i=1 Σ ƒ1(x;)ƒ2(x;) = Σ f2(x)f(x) = i=1 PL Σ yifi(x) = i=1 (b) Solve the above system of equations to obtain the nonlinear equation coefficients a₁ and ₂: a1 = a2 = (c) Find the predicted value of the speed u at t = 3 (- v(3) =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS