$(2711, 0.62),(3243,1.83),(3846,0.38),(4514,2.42),(5152,0.58),(5723,1.82),(6322,0.38), (6950, 2.44),(7628, 0.57),(8159,1.82),(8757,0.39),(9425,2.44),(10102, 0.56), (10635, 1.82),(11230, 0.41),(11858, 2.41),(12533, 0.57),(13109, 1.81), (13704, 0.44),(14330, 2.38),(15004, 0.58),(15546, 1.8),(14750, 0.55) $
Ok, from this data we need to make a graph (the one bracket and commas are just to separate the data), which i have done. Then we need to remake this graph and find the formula at the same time.
What im really asking is that if anyone can find the formula for this data set, so it can be replotted as a graph using the formula made. It doesnt have to be perfect, just near. I have come up with a basic equation to use which is
$2\sin(x_1-4)+0.5\sin(x_1-6)+0.8\sin(x_1-4)+3.02$
Thats as far as i have gotten but im stuck. Please help me solve this, i cant do it.
The following function is a good fit to your points:
$$ y = 1.29847823 - 0.29759606 \,sin (0.00259178 x - 1.02713312) - 0.85121794 \,sin (2*0.00259178 x)$$
The pattern of your points shows a sum of two periodic functions, where one has twice the frequency of the other. Therefore, I asked my
Excel solverto determine a least square fit. Parameters are the average value (added constant), the base frequency, the amplitudes and a phase shift.Note that there might be a typing error in your values for $14500 .. 15000$. These two values look somewhat odd compared to the other periods.