Calculating the Weighted Average of Two Graphs

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Discussion Overview

The discussion revolves around calculating the weighted average of two graphs with differing x-coordinate ranges. Participants explore how to derive a third graph's coordinates based on a specified weighting of the two original graphs while addressing the challenge posed by their non-overlapping intervals.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant describes having two graphs with x and y coordinates and seeks a formula to calculate a third graph using a 55% weight for one graph and 45% for the other, noting the issue of differing x-coordinate ranges.
  • Another participant draws a parallel to a temperature data scenario, questioning if the problem is similar in nature regarding the need for a weighted average over different intervals.
  • A further clarification reiterates the need to generate points that reflect a weighted average while starting and ending at specific points defined by the original graphs.
  • One participant argues that averaging cannot be performed without having two numbers and suggests using values only from the common interval, raising questions about the acceptability of this approach.
  • Another participant acknowledges the challenge of using weighted averages across different intervals and expresses a need for more context to provide further suggestions.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the calculation of the weighted average given the non-overlapping intervals of the graphs. There is no consensus on a definitive method or formula.

Contextual Notes

The discussion highlights limitations related to the assumptions about the intervals of the graphs and the implications of using weighted averages in this context. Specific mathematical steps or definitions of the intervals are not resolved.

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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