A cyclist starts pedalling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the following data set. (t₁) [s] 0 0.5 2 v(t₁) [m/s] 0 2.5 4.5 7 6.5 13 7 It has been suggested that v(t) = a₁(t) + a₂√t. would represent a suitable fit for the above data points. a) Estimate the value of a1 and a2 by using Multiple Linear Regression. Also sketch the curve fit v(t) with the data set. b) Calculate the coefficient of determination of the curve fit v(t), obtained in 2(a)
A cyclist starts pedalling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the following data set. (t₁) [s] 0 0.5 2 v(t₁) [m/s] 0 2.5 4.5 7 6.5 13 7 It has been suggested that v(t) = a₁(t) + a₂√t. would represent a suitable fit for the above data points. a) Estimate the value of a1 and a2 by using Multiple Linear Regression. Also sketch the curve fit v(t) with the data set. b) Calculate the coefficient of determination of the curve fit v(t), obtained in 2(a)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A cyclist starts pedalling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the
following data set.
(t₁) [s] 0 0.5 2
v(t₁) [m/s] 0 2.5 4.5
7
6.5
13
7
It has been suggested that
v(t) = a₁(t) + a₂√t.
would represent a suitable fit for the above data points.
a) Estimate the value of a1 and a2 by using Multiple Linear Regression. Also sketch the curve fit v(t) with the
data set.
b) Calculate the coefficient of determination of the curve fit v(t), obtained in 2(a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F622f02b5-5056-4751-ad98-1cfe8ac262fb%2Faa7d6004-8b3a-4707-b889-453dd8b49b2f%2Fnfraixk_processed.png&w=3840&q=75)
Transcribed Image Text:A cyclist starts pedalling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the
following data set.
(t₁) [s] 0 0.5 2
v(t₁) [m/s] 0 2.5 4.5
7
6.5
13
7
It has been suggested that
v(t) = a₁(t) + a₂√t.
would represent a suitable fit for the above data points.
a) Estimate the value of a1 and a2 by using Multiple Linear Regression. Also sketch the curve fit v(t) with the
data set.
b) Calculate the coefficient of determination of the curve fit v(t), obtained in 2(a)
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