Numerical analysis: least squares method












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Basically I came up with a function where I need to approximate it using the least squares method. I had no trouble computing the constants on MATLAB and got to the following plot:
enter image description here



Now as you see the curves are approximately the same but not exactly. I'm looking for a rather sharp explanation to this? Is it because the function is very oscillatory? Is it because it constantly oscillates between negative and positive values? Can someone give me some insight about this? I really want to understand what I am obtaining. Thanks!










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  • 2




    $begingroup$
    I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
    $endgroup$
    – Claude Leibovici
    Dec 18 '18 at 4:08










  • $begingroup$
    I second Claude's suggestion.
    $endgroup$
    – timur
    Dec 18 '18 at 4:10
















0












$begingroup$


Basically I came up with a function where I need to approximate it using the least squares method. I had no trouble computing the constants on MATLAB and got to the following plot:
enter image description here



Now as you see the curves are approximately the same but not exactly. I'm looking for a rather sharp explanation to this? Is it because the function is very oscillatory? Is it because it constantly oscillates between negative and positive values? Can someone give me some insight about this? I really want to understand what I am obtaining. Thanks!










share|cite|improve this question









$endgroup$








  • 2




    $begingroup$
    I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
    $endgroup$
    – Claude Leibovici
    Dec 18 '18 at 4:08










  • $begingroup$
    I second Claude's suggestion.
    $endgroup$
    – timur
    Dec 18 '18 at 4:10














0












0








0





$begingroup$


Basically I came up with a function where I need to approximate it using the least squares method. I had no trouble computing the constants on MATLAB and got to the following plot:
enter image description here



Now as you see the curves are approximately the same but not exactly. I'm looking for a rather sharp explanation to this? Is it because the function is very oscillatory? Is it because it constantly oscillates between negative and positive values? Can someone give me some insight about this? I really want to understand what I am obtaining. Thanks!










share|cite|improve this question









$endgroup$




Basically I came up with a function where I need to approximate it using the least squares method. I had no trouble computing the constants on MATLAB and got to the following plot:
enter image description here



Now as you see the curves are approximately the same but not exactly. I'm looking for a rather sharp explanation to this? Is it because the function is very oscillatory? Is it because it constantly oscillates between negative and positive values? Can someone give me some insight about this? I really want to understand what I am obtaining. Thanks!







numerical-methods matlab least-squares






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 18 '18 at 1:30









Granger ObliviateGranger Obliviate

557415




557415








  • 2




    $begingroup$
    I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
    $endgroup$
    – Claude Leibovici
    Dec 18 '18 at 4:08










  • $begingroup$
    I second Claude's suggestion.
    $endgroup$
    – timur
    Dec 18 '18 at 4:10














  • 2




    $begingroup$
    I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
    $endgroup$
    – Claude Leibovici
    Dec 18 '18 at 4:08










  • $begingroup$
    I second Claude's suggestion.
    $endgroup$
    – timur
    Dec 18 '18 at 4:10








2




2




$begingroup$
I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
$endgroup$
– Claude Leibovici
Dec 18 '18 at 4:08




$begingroup$
I think it could be good you show the function you want to fit as well as the data points. Otherwise, it could be difficult to help you. Cheers.
$endgroup$
– Claude Leibovici
Dec 18 '18 at 4:08












$begingroup$
I second Claude's suggestion.
$endgroup$
– timur
Dec 18 '18 at 4:10




$begingroup$
I second Claude's suggestion.
$endgroup$
– timur
Dec 18 '18 at 4:10










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