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)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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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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