Please identify this curve fitting formula

up vote
0
down vote

favorite

I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:

y0 + a/(x-x0)

x being my data, y0, a, and x0 are the parameter estimates. I found this formula on https://plot.ly/create/ after creating a line chart with my x,y data and going to the Analysis > Curve Fitting option. It doesn't give a name for this equation.

Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.

asked Nov 18 at 14:18

user1758663

5116

math.stackexchange.com
– Moralous
Nov 18 at 14:25

I believe it's called a rational function? With that aside, flagging to close due to off-topic.
– TrebuchetMS
Nov 18 at 14:38

1

Looks like a reciprocal function with an asymptote at x = x0. It's singular at that point. It has two branches - one to the right of the asymptote and another to the left that is its mirror image.
– duffymo
Nov 18 at 15:01

I'm voting to close this question as off-topic because it is not about programming.
– High Performance Mark
Nov 18 at 18:03

I'm voting to close this question as off-topic because it is about mathematics instead of programming / coding / programming tools / software algorithms.
– Pang
Nov 20 at 4:01

add a comment |

up vote
0
down vote

favorite

I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:

y0 + a/(x-x0)

Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.

asked Nov 18 at 14:18

user1758663

5116

math.stackexchange.com
– Moralous
Nov 18 at 14:25

I believe it's called a rational function? With that aside, flagging to close due to off-topic.
– TrebuchetMS
Nov 18 at 14:38

1

Looks like a reciprocal function with an asymptote at x = x0. It's singular at that point. It has two branches - one to the right of the asymptote and another to the left that is its mirror image.
– duffymo
Nov 18 at 15:01

I'm voting to close this question as off-topic because it is not about programming.
– High Performance Mark
Nov 18 at 18:03

I'm voting to close this question as off-topic because it is about mathematics instead of programming / coding / programming tools / software algorithms.
– Pang
Nov 20 at 4:01

add a comment |

up vote
0
down vote

favorite

I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:

y0 + a/(x-x0)

Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.

asked Nov 18 at 14:18

user1758663

5116

I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:

y0 + a/(x-x0)

Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.

math formula curve-fitting equation non-linear-regression

asked Nov 18 at 14:18

user1758663

5116

asked Nov 18 at 14:18

user1758663

5116

asked Nov 18 at 14:18

user1758663

5116

asked Nov 18 at 14:18

user1758663

5116

asked Nov 18 at 14:18

user1758663

5116

math.stackexchange.com
– Moralous
Nov 18 at 14:25

I believe it's called a rational function? With that aside, flagging to close due to off-topic.
– TrebuchetMS
Nov 18 at 14:38

1

Looks like a reciprocal function with an asymptote at x = x0. It's singular at that point. It has two branches - one to the right of the asymptote and another to the left that is its mirror image.
– duffymo
Nov 18 at 15:01

I'm voting to close this question as off-topic because it is not about programming.
– High Performance Mark
Nov 18 at 18:03

I'm voting to close this question as off-topic because it is about mathematics instead of programming / coding / programming tools / software algorithms.
– Pang
Nov 20 at 4:01

add a comment |

math.stackexchange.com
– Moralous
Nov 18 at 14:25

I believe it's called a rational function? With that aside, flagging to close due to off-topic.
– TrebuchetMS
Nov 18 at 14:38

1

Looks like a reciprocal function with an asymptote at x = x0. It's singular at that point. It has two branches - one to the right of the asymptote and another to the left that is its mirror image.
– duffymo
Nov 18 at 15:01

I'm voting to close this question as off-topic because it is not about programming.
– High Performance Mark
Nov 18 at 18:03

I'm voting to close this question as off-topic because it is about mathematics instead of programming / coding / programming tools / software algorithms.
– Pang
Nov 20 at 4:01

math.stackexchange.com
– Moralous
Nov 18 at 14:25

I believe it's called a rational function? With that aside, flagging to close due to off-topic.
– TrebuchetMS
Nov 18 at 14:38

Looks like a reciprocal function with an asymptote at x = x0. It's singular at that point. It has two branches - one to the right of the asymptote and another to the left that is its mirror image.
– duffymo
Nov 18 at 15:01

I'm voting to close this question as off-topic because it is not about programming.
– High Performance Mark
Nov 18 at 18:03

I'm voting to close this question as off-topic because it is about mathematics instead of programming / coding / programming tools / software algorithms.
– Pang
Nov 20 at 4:01

add a comment |

1 Answer
1

active

oldest

votes

up vote
2
down vote

accepted

This is hyperbola curve.

You can get such curve having the simplest y=1/x curve, then shifting it right by x0 (vertical asymptote), stretching in vertical direction a times and shifting in vertical direction by y0 (horizontal asymptote)

example

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

add a comment |

Your Answer

StackExchange.ifUsing("editor", function () {
StackExchange.using("externalEditor", function () {
StackExchange.using("snippets", function () {
StackExchange.snippets.init();
});
});
}, "code-snippets");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "1"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});

}
});

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f53361867%2fplease-identify-this-curve-fitting-formula%23new-answer', 'question_page');
}
);

Post as a guest

Name

Required, but never shown

1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

up vote
2
down vote

accepted

This is hyperbola curve.

example

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

add a comment |

up vote
2
down vote

accepted

This is hyperbola curve.

example

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

add a comment |

up vote
2
down vote

accepted

This is hyperbola curve.

example

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

This is hyperbola curve.

example

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

edited Nov 18 at 15:21

answered Nov 18 at 15:02

MBo

45.4k22847

answered Nov 18 at 15:02

MBo

45.4k22847

answered Nov 18 at 15:02

MBo

45.4k22847

add a comment |

draft saved

draft discarded

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Name

Required, but never shown

Name

Required, but never shown

This page is only for reference, If you need detailed information, please check here

搜尋此網誌

Nsryjdtyk