Please identify this curve fitting formula











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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.






math formula curve-fitting equation non-linear-regression







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  • 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















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.






math formula curve-fitting equation non-linear-regression







share|improve this question






















  • 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













up vote
0
down vote

favorite









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.






math formula curve-fitting equation non-linear-regression







share|improve this question













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.






math formula curve-fitting equation non-linear-regression




math formula curve-fitting equation non-linear-regression






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Nov 18 at 14:18









user1758663

5116




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


















  • 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




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






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




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




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 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




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












1 Answer
1






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down vote



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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






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    1 Answer
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    active

    oldest

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    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






    share|improve this answer



























      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






      share|improve this answer

























        up vote
        2
        down vote



        accepted







        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






        share|improve this answer














        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







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Nov 18 at 15:21

























        answered Nov 18 at 15:02









        MBo

        45.4k22847




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