3. The following data has been measured in 7-day intervals for the number N of cells in a cell culture. t [days] N 7 8 14 41 21 133 28 250 35 735 S = [InN; - In N(t;)]², 42 1808 (a) Make an appropriate logarithmic transformation to fit the data to the curve N(t)= aet. [1] LnLN) = lnx-ßt (b) Apply least square fitting to the transformed problem: minimise the error, by differentiating partially with respect to B and Inx, and then equating the partial derivatives to zero. Determine the optimal values of ẞ and a.
3. The following data has been measured in 7-day intervals for the number N of cells in a cell culture. t [days] N 7 8 14 41 21 133 28 250 35 735 S = [InN; - In N(t;)]², 42 1808 (a) Make an appropriate logarithmic transformation to fit the data to the curve N(t)= aet. [1] LnLN) = lnx-ßt (b) Apply least square fitting to the transformed problem: minimise the error, by differentiating partially with respect to B and Inx, and then equating the partial derivatives to zero. Determine the optimal values of ẞ and a.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please help with b)
a) is already completed but required for b)
answer to a) is written on image.
![3. The following data has been measured in 7-day intervals for the number N of
cells in a cell culture.
t [days]
N
7
8
14
41
21
133
28
250
6
S=Σ [InN; - In N(t;)]².
i=1
35
735
42
1808
(a) Make an appropriate logarithmic transformation to fit the data to the curve
N(t) = deßt. [1] LnLN)=lnx-ßt
(b) Apply least square fitting to the transformed problem: minimise the error,
by differentiating partially with respect to ẞ and Ina, and then equating the
partial derivatives to zero. Determine the optimal values of ẞ and a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8807f1a2-2039-4e54-9375-e2ae945d77b9%2F1df4db7e-c784-4dcc-a690-f18d77d665a0%2Fm5o2fqh_processed.png&w=3840&q=75)
Transcribed Image Text:3. The following data has been measured in 7-day intervals for the number N of
cells in a cell culture.
t [days]
N
7
8
14
41
21
133
28
250
6
S=Σ [InN; - In N(t;)]².
i=1
35
735
42
1808
(a) Make an appropriate logarithmic transformation to fit the data to the curve
N(t) = deßt. [1] LnLN)=lnx-ßt
(b) Apply least square fitting to the transformed problem: minimise the error,
by differentiating partially with respect to ẞ and Ina, and then equating the
partial derivatives to zero. Determine the optimal values of ẞ and a.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 32 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman