Find equation to fit data with plateau
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I have a dataset with X and Y values. I would like to fit the data which plateaus at a certain value Y (want to extract the Y where it plateaus).
The data includes (0 0) and for increasing x (no limit) the Y values do not increase beyond a certain Y value.
Plateau for distance vs square root of time
Plateau for distance vs time
What would be the (most suitable) fitting function?
exponential-function data-analysis
asked Oct 30 '17 at 12:33
user3550552
12
add a comment |
up vote
0
down vote
favorite
I have a dataset with X and Y values. I would like to fit the data which plateaus at a certain value Y (want to extract the Y where it plateaus).
The data includes (0 0) and for increasing x (no limit) the Y values do not increase beyond a certain Y value.
Plateau for distance vs square root of time
Plateau for distance vs time
What would be the (most suitable) fitting function?
exponential-function data-analysis
asked Oct 30 '17 at 12:33
user3550552
12
sigmoid
– Wouter
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a dataset with X and Y values. I would like to fit the data which plateaus at a certain value Y (want to extract the Y where it plateaus).
The data includes (0 0) and for increasing x (no limit) the Y values do not increase beyond a certain Y value.
Plateau for distance vs square root of time
Plateau for distance vs time
What would be the (most suitable) fitting function?
exponential-function data-analysis
asked Oct 30 '17 at 12:33
user3550552
12
I have a dataset with X and Y values. I would like to fit the data which plateaus at a certain value Y (want to extract the Y where it plateaus).
The data includes (0 0) and for increasing x (no limit) the Y values do not increase beyond a certain Y value.
Plateau for distance vs square root of time
Plateau for distance vs time
What would be the (most suitable) fitting function?
exponential-function data-analysis
exponential-function data-analysis
asked Oct 30 '17 at 12:33
user3550552
12
asked Oct 30 '17 at 12:33
user3550552
12
edited Oct 31 '17 at 23:29
asked Oct 30 '17 at 12:33
user3550552
12
asked Oct 30 '17 at 12:33
user3550552
12
asked Oct 30 '17 at 12:33
user3550552
12
12
sigmoid
– Wouter
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29
add a comment |
sigmoid
– Wouter
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29
sigmoid
– Wouter
Oct 30 '17 at 12:37
sigmoid
– Wouter
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29
add a comment |
1 Answer
1
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oldest
votes
up vote
0
down vote
You can fit
$$
y = M(1- e^{-ax})
$$
where $M$ is the maximum at which the plateau ends up and $a$ governs how fast it gets there.
You can probably get Excel to find the best values of $M$ and $a$, or just play until the graph looks right.
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
You can fit
$$
y = M(1- e^{-ax})
$$
where $M$ is the maximum at which the plateau ends up and $a$ governs how fast it gets there.
You can probably get Excel to find the best values of $M$ and $a$, or just play until the graph looks right.
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
add a comment |
up vote
0
down vote
You can fit
$$
y = M(1- e^{-ax})
$$
where $M$ is the maximum at which the plateau ends up and $a$ governs how fast it gets there.
You can probably get Excel to find the best values of $M$ and $a$, or just play until the graph looks right.
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
add a comment |
up vote
0
down vote
up vote
0
down vote
You can fit
$$
y = M(1- e^{-ax})
$$
where $M$ is the maximum at which the plateau ends up and $a$ governs how fast it gets there.
You can probably get Excel to find the best values of $M$ and $a$, or just play until the graph looks right.
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
You can fit
$$
y = M(1- e^{-ax})
$$
where $M$ is the maximum at which the plateau ends up and $a$ governs how fast it gets there.
You can probably get Excel to find the best values of $M$ and $a$, or just play until the graph looks right.
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
answered Nov 1 '17 at 0:09
Ethan Bolker
39.7k543103
39.7k543103
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
add a comment |
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
Is that the most appropriate equation for such? It seems there are a variety of fitting functions out there and I am wondering how to choose the most suitable for such a plateau?
– user3550552
Nov 5 '17 at 20:11
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
eg. rcompanion.org/handbook/I_11.html
– user3550552
Nov 5 '17 at 20:14
add a comment |
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sigmoid
– Wouter
Oct 30 '17 at 12:37
Welcome to stackexchange. If you provide more detail - perhaps a graph of your data - you are more likely to get an answer. In the meanwhile look into logistic curves: en.wikipedia.org/wiki/Logistic_function
– Ethan Bolker
Oct 30 '17 at 12:37
Thank you @EthanBolker, I just added some graphs.
– user3550552
Oct 31 '17 at 23:29