Mixing
Find Sine function without given Minimum
So, recently for a grade 11 school math project, I collected data, which I knew took a form of a sine graph, but the values which experimented to find were chosen randomly. Faith the data collected, I got the maximum point, but did not include the minimum point. So is there a way to find an equation of sine regression if no minimum is given/shown?
trigonometry regression
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
add a comment |
So, recently for a grade 11 school math project, I collected data, which I knew took a form of a sine graph, but the values which experimented to find were chosen randomly. Faith the data collected, I got the maximum point, but did not include the minimum point. So is there a way to find an equation of sine regression if no minimum is given/shown?
trigonometry regression
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30
add a comment |
So, recently for a grade 11 school math project, I collected data, which I knew took a form of a sine graph, but the values which experimented to find were chosen randomly. Faith the data collected, I got the maximum point, but did not include the minimum point. So is there a way to find an equation of sine regression if no minimum is given/shown?
trigonometry regression
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
So, recently for a grade 11 school math project, I collected data, which I knew took a form of a sine graph, but the values which experimented to find were chosen randomly. Faith the data collected, I got the maximum point, but did not include the minimum point. So is there a way to find an equation of sine regression if no minimum is given/shown?
trigonometry regression
trigonometry regression
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
asked Nov 21 '18 at 19:52
Jugal BilimoriaJugal Bilimoria
61
61
Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30
add a comment |
Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30
Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30
add a comment |
1 Answer
1
active
oldest
votes
Given $n$ data points $(x_i,y_i)$ for a sine wave means fitting the model
$$y=A+Bsin(Cx+D)$$ and it is a quite difficelt task (google for fitting a sine wave).
From a practical point of view, it is easier to expand the sine term and consider instead
$$y=a+bsin(cx)+dcos(cx)$$ Taking into account the fact that your $x_i$'s are given in degrees, I prefer to rewrite the model as
$$y=a+b sin left(cfrac{pi x}{180}right)+d cos left(cfrac{pi x}{180}right)$$This problem is nonlinear (because of the $c$ parameter). If $c$ was known, it would just be a multilinear regression easy to do.
So, for the time being, give $c$ a value; for this value, compute $a,b,d$ and the sum of squares $SSQ$ (all of that can easily be done using Excel). Now, plot $SSQ$ a a funtion of $c$ and locate its minimum. When done, you have all the estimates required for the nonlinear regression for a fine tuning of the parameters.
Using the data you posted, $c=4.5$ seems to be a good candidate. Using this value and the corresponding $a,b,d$ obtained by the preliminary multilinear regression, a nonlinear regression will give
$$a=34.442 qquad b=6.987 qquad c=4.526 qquad d=8.002$$ For these values, the table below reproduces your data and the predicted values from the regression
$$left(
begin{array}{ccc}
x & y & text{predicted} \
90 & 48.88 & 45.003 \
68 & 33.98 & 33.820 \
41.2 & 26.58 & 25.704 \
33.2 & 30.72 & 30.960 \
20.4 & 38.59 & 41.098 \
0 & 40.28 & 42.445
end{array}
right)$$ which is not fantastic even if $R^2=0.9968$ seems to be be quite good.
Now, taking the derivative of $y$ with respect to $x$
$$y'=frac{pi c}{180} left(b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)right) $$and solving the trigonometric equation
$$b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)=0 implies x=frac{180 }{pi c}tan ^{-1}left(frac{b}{d}right)$$ gives $y_{max}=45.066$ at $x=88.63 ^{circ}$ and $y_{min}=23.819$ at $x=48.86 ^{circ}$.
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
|
show 2 more comments
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1 Answer
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1 Answer
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Given $n$ data points $(x_i,y_i)$ for a sine wave means fitting the model
$$y=A+Bsin(Cx+D)$$ and it is a quite difficelt task (google for fitting a sine wave).
From a practical point of view, it is easier to expand the sine term and consider instead
$$y=a+bsin(cx)+dcos(cx)$$ Taking into account the fact that your $x_i$'s are given in degrees, I prefer to rewrite the model as
$$y=a+b sin left(cfrac{pi x}{180}right)+d cos left(cfrac{pi x}{180}right)$$This problem is nonlinear (because of the $c$ parameter). If $c$ was known, it would just be a multilinear regression easy to do.
So, for the time being, give $c$ a value; for this value, compute $a,b,d$ and the sum of squares $SSQ$ (all of that can easily be done using Excel). Now, plot $SSQ$ a a funtion of $c$ and locate its minimum. When done, you have all the estimates required for the nonlinear regression for a fine tuning of the parameters.
Using the data you posted, $c=4.5$ seems to be a good candidate. Using this value and the corresponding $a,b,d$ obtained by the preliminary multilinear regression, a nonlinear regression will give
$$a=34.442 qquad b=6.987 qquad c=4.526 qquad d=8.002$$ For these values, the table below reproduces your data and the predicted values from the regression
$$left(
begin{array}{ccc}
x & y & text{predicted} \
90 & 48.88 & 45.003 \
68 & 33.98 & 33.820 \
41.2 & 26.58 & 25.704 \
33.2 & 30.72 & 30.960 \
20.4 & 38.59 & 41.098 \
0 & 40.28 & 42.445
end{array}
right)$$ which is not fantastic even if $R^2=0.9968$ seems to be be quite good.
Now, taking the derivative of $y$ with respect to $x$
$$y'=frac{pi c}{180} left(b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)right) $$and solving the trigonometric equation
$$b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)=0 implies x=frac{180 }{pi c}tan ^{-1}left(frac{b}{d}right)$$ gives $y_{max}=45.066$ at $x=88.63 ^{circ}$ and $y_{min}=23.819$ at $x=48.86 ^{circ}$.
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
|
show 2 more comments
Given $n$ data points $(x_i,y_i)$ for a sine wave means fitting the model
$$y=A+Bsin(Cx+D)$$ and it is a quite difficelt task (google for fitting a sine wave).
From a practical point of view, it is easier to expand the sine term and consider instead
$$y=a+bsin(cx)+dcos(cx)$$ Taking into account the fact that your $x_i$'s are given in degrees, I prefer to rewrite the model as
$$y=a+b sin left(cfrac{pi x}{180}right)+d cos left(cfrac{pi x}{180}right)$$This problem is nonlinear (because of the $c$ parameter). If $c$ was known, it would just be a multilinear regression easy to do.
So, for the time being, give $c$ a value; for this value, compute $a,b,d$ and the sum of squares $SSQ$ (all of that can easily be done using Excel). Now, plot $SSQ$ a a funtion of $c$ and locate its minimum. When done, you have all the estimates required for the nonlinear regression for a fine tuning of the parameters.
Using the data you posted, $c=4.5$ seems to be a good candidate. Using this value and the corresponding $a,b,d$ obtained by the preliminary multilinear regression, a nonlinear regression will give
$$a=34.442 qquad b=6.987 qquad c=4.526 qquad d=8.002$$ For these values, the table below reproduces your data and the predicted values from the regression
$$left(
begin{array}{ccc}
x & y & text{predicted} \
90 & 48.88 & 45.003 \
68 & 33.98 & 33.820 \
41.2 & 26.58 & 25.704 \
33.2 & 30.72 & 30.960 \
20.4 & 38.59 & 41.098 \
0 & 40.28 & 42.445
end{array}
right)$$ which is not fantastic even if $R^2=0.9968$ seems to be be quite good.
Now, taking the derivative of $y$ with respect to $x$
$$y'=frac{pi c}{180} left(b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)right) $$and solving the trigonometric equation
$$b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)=0 implies x=frac{180 }{pi c}tan ^{-1}left(frac{b}{d}right)$$ gives $y_{max}=45.066$ at $x=88.63 ^{circ}$ and $y_{min}=23.819$ at $x=48.86 ^{circ}$.
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
|
show 2 more comments
Given $n$ data points $(x_i,y_i)$ for a sine wave means fitting the model
$$y=A+Bsin(Cx+D)$$ and it is a quite difficelt task (google for fitting a sine wave).
From a practical point of view, it is easier to expand the sine term and consider instead
$$y=a+bsin(cx)+dcos(cx)$$ Taking into account the fact that your $x_i$'s are given in degrees, I prefer to rewrite the model as
$$y=a+b sin left(cfrac{pi x}{180}right)+d cos left(cfrac{pi x}{180}right)$$This problem is nonlinear (because of the $c$ parameter). If $c$ was known, it would just be a multilinear regression easy to do.
So, for the time being, give $c$ a value; for this value, compute $a,b,d$ and the sum of squares $SSQ$ (all of that can easily be done using Excel). Now, plot $SSQ$ a a funtion of $c$ and locate its minimum. When done, you have all the estimates required for the nonlinear regression for a fine tuning of the parameters.
Using the data you posted, $c=4.5$ seems to be a good candidate. Using this value and the corresponding $a,b,d$ obtained by the preliminary multilinear regression, a nonlinear regression will give
$$a=34.442 qquad b=6.987 qquad c=4.526 qquad d=8.002$$ For these values, the table below reproduces your data and the predicted values from the regression
$$left(
begin{array}{ccc}
x & y & text{predicted} \
90 & 48.88 & 45.003 \
68 & 33.98 & 33.820 \
41.2 & 26.58 & 25.704 \
33.2 & 30.72 & 30.960 \
20.4 & 38.59 & 41.098 \
0 & 40.28 & 42.445
end{array}
right)$$ which is not fantastic even if $R^2=0.9968$ seems to be be quite good.
Now, taking the derivative of $y$ with respect to $x$
$$y'=frac{pi c}{180} left(b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)right) $$and solving the trigonometric equation
$$b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)=0 implies x=frac{180 }{pi c}tan ^{-1}left(frac{b}{d}right)$$ gives $y_{max}=45.066$ at $x=88.63 ^{circ}$ and $y_{min}=23.819$ at $x=48.86 ^{circ}$.
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
Given $n$ data points $(x_i,y_i)$ for a sine wave means fitting the model
$$y=A+Bsin(Cx+D)$$ and it is a quite difficelt task (google for fitting a sine wave).
From a practical point of view, it is easier to expand the sine term and consider instead
$$y=a+bsin(cx)+dcos(cx)$$ Taking into account the fact that your $x_i$'s are given in degrees, I prefer to rewrite the model as
$$y=a+b sin left(cfrac{pi x}{180}right)+d cos left(cfrac{pi x}{180}right)$$This problem is nonlinear (because of the $c$ parameter). If $c$ was known, it would just be a multilinear regression easy to do.
So, for the time being, give $c$ a value; for this value, compute $a,b,d$ and the sum of squares $SSQ$ (all of that can easily be done using Excel). Now, plot $SSQ$ a a funtion of $c$ and locate its minimum. When done, you have all the estimates required for the nonlinear regression for a fine tuning of the parameters.
Using the data you posted, $c=4.5$ seems to be a good candidate. Using this value and the corresponding $a,b,d$ obtained by the preliminary multilinear regression, a nonlinear regression will give
$$a=34.442 qquad b=6.987 qquad c=4.526 qquad d=8.002$$ For these values, the table below reproduces your data and the predicted values from the regression
$$left(
begin{array}{ccc}
x & y & text{predicted} \
90 & 48.88 & 45.003 \
68 & 33.98 & 33.820 \
41.2 & 26.58 & 25.704 \
33.2 & 30.72 & 30.960 \
20.4 & 38.59 & 41.098 \
0 & 40.28 & 42.445
end{array}
right)$$ which is not fantastic even if $R^2=0.9968$ seems to be be quite good.
Now, taking the derivative of $y$ with respect to $x$
$$y'=frac{pi c}{180} left(b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)right) $$and solving the trigonometric equation
$$b cos left(cfrac{pi x}{180}right)-d sin
left(cfrac{pi x}{180}right)=0 implies x=frac{180 }{pi c}tan ^{-1}left(frac{b}{d}right)$$ gives $y_{max}=45.066$ at $x=88.63 ^{circ}$ and $y_{min}=23.819$ at $x=48.86 ^{circ}$.
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
answered Nov 24 '18 at 4:38
Claude LeiboviciClaude Leibovici
119k1157132
119k1157132
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
|
show 2 more comments
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
OMG ur a legend! However im confused on how and why you split up the original equation to y=a+bsin(cx)+dcos(cx) and how you found the a b c and d values. is it possible for you to explain more indepth, and how you did it on excel?
– Jugal Bilimoria
Nov 24 '18 at 17:49
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
@JugalBilimoria. Start with the initial model and expand $sin(Cx+D)$. Then, linear regressions for given $c$. Polish the whole using nonlinear regression or optimization with Excel solver.
– Claude Leibovici
Nov 25 '18 at 2:25
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
I also need to shot step by step, and annotate how and why for the project. So is it possible for you to explain it to me as I am still confused about your method(e.g. getting c as 4.5, then computing abd on excel use. Sum of squares). Thanks for everything in advance!
– Jugal Bilimoria
Nov 25 '18 at 14:35
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
@JugalBilimoria. Do you know about linear regression or not yet ?
– Claude Leibovici
Nov 25 '18 at 15:02
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
Yes i do, along with quadratic, exponential, sine, cos, etc...
– Jugal Bilimoria
Nov 25 '18 at 16:58
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Attempting to "solve" the sine wave with several points could be a good starting point - you have unknown as - frequency, phase and amplitude and bias (I assume all the values are positive. Usually you loom for a sine wave that provides you the lowest error (based on RMS)
– Moti
Nov 21 '18 at 21:17
Why don't you put the data in order we play with them ? By the way, welcome to the site !
– Claude Leibovici
Nov 22 '18 at 17:50
@ClaudeLeibovici Thank you for the greetings! Here is the data which i have collected: goo.gl/YBhu1i
– Jugal Bilimoria
Nov 22 '18 at 22:27
Could you precise the equation you want to search ?
– Claude Leibovici
Nov 23 '18 at 9:40
@ClaudeLeibovici Hey cal you help me out for a small part? Is it possible for you to send a picture of what your excel space looked like when you you plotted everythign and used excel solver?. I found out how but i just want to double check.
– Jugal Bilimoria
Nov 26 '18 at 23:30