A cyclist starts pedaling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the following data set. (ti) [s] 0 0.5 27 13 v(ti) [m/s] 0 2.5 4.5 6.5 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 pedaling from a standstill, and the cyclist's velocity v(ti) [m/s] at time ti [s] is recorded in the following data set. (ti) [s] 0 0.5 27 13 v(ti) [m/s] 0 2.5 4.5 6.5 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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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