Calculating the Weighted Average of Two Graphs

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To calculate the X and Y coordinates of a third graph using a weighted average of two graphs (R and V) with different starting and ending X coordinates, a more refined approach is needed than simply averaging the coordinates. The initial formulas proposed do not account for the differing intervals of the graphs, which complicates the calculation. A suggestion is to only use values from the overlapping intervals for averaging, while applying the specified weights of 55% for R and 45% for V. However, the challenge remains in effectively integrating the data points across the non-overlapping sections. Further context about the intended application could provide additional insights for a more tailored solution.
jlkamikaze
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i have an excel file containing 2 graphs [R & V], and their x & y coordinates in 4 separate lists [the X coordinates of R, the X coordinates of V, the Y coordinates of R, the Y coordinates of V]

i need to calculate the X & Y coordinates of a 3rd graph through a weighted formula that takes 55% of the R coordinates into account + 45% of the V coordinates into account

the tricky part is that R & V start and end at different X coordinates...
for example R starts at x=0 and ends at x=10
while V starts at x=5 and ends at x=15

can anyone help define a better formula for this?
here is what i have so far:
X = (Xr+Xv)/2
Y = (Yr)*0.55 + (Yv)*0.45
the problem with these equations is they don't take into account the different start and end positions of the two graphs

thank you for any help in advance! best regards!
 
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Just to clarify what you are asking, would this be the same type of problem:

Graph A gives high temperature data for Jan 1 thru Jan 20, graph B gives high temperature for Jan 10 through Jan 31. You want a graph for the whole month, weighting the readings differently. Is that similar to what you are wanting to do?
 
to clarify:
imagine graph A starting at Jan 1 [point M] and ending at Jan 20 [point N]
imagine graph B starting at Jan 10 [point O] and ending at Jan 31 [point P]

i want to generate a set of points that take on a weighted average of the points from graphs A & B but also starts at point M and ends at point P
 
jlkamikaze said:
to clarify:
imagine graph A starting at Jan 1 [point M] and ending at Jan 20 [point N]
imagine graph B starting at Jan 10 [point O] and ending at Jan 31 [point P]

i want to generate a set of points that take on a weighted average of the points from graphs A & B but also starts at point M and ends at point P

Well, you can't calculate the average of two numbers when you don't have two numbers. The only sensible thing to do is to use the values from graph A and B on the intervals where that is all you have, and average the values for the places where you have two readings. Whether that is acceptable I guess depends on what you are doing.
 
i get what your saying in only using values for the common interval between both graphs

but I am supposed to somehow use weighted averages to weight the data points as well as the difference between the intervals. fairly complicated ugh

thank you btw!
 
jlkamikaze said:
i get what your saying in only using values for the common interval between both graphs

but I am supposed to somehow use weighted averages to weight the data points as well as the difference between the intervals. fairly complicated ugh

thank you btw!

I guess I would need more context about what you are doing to see if I would have any other suggestions. At this point it doesn't make much sense to me.
 
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