Nonlinear Interpolation

Feb 27, 2007

I have data that consists of a set of coordinates that is indirectly related to an angular measurement. The data set that I have consists of four sets of coordinates and four coresponding angles. The data is below.

angle,43.09,34.83,26.8,18.08,
X,174.24,187.45,202.18,213.87,
Y,140.13,121.84,103.3,81.46,

How can I get excel to give me values for X and Y based on an angle that I input, such as 22.45. plotting a graph of the X and Y gives a curved output, so the methods that I know of do not seem to be working.

I have other more complex sets of data with complex curves that I would like to use a similar method to mine data.

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Regress Nonlinear Equation

Nov 20, 2008

Below is a nonlinear model, together with calibration data for which I would like to find the parameters Ro, Kc, a and b.

R = Ro + Kc * (1/(1 + exp(-(a + b*lnC))

Calibration Data

C R
0.00.3347
4.80.4201
7.70.5141
11.20.6177
14.40.6887

Given the calibration data above, how can I calculate or at least estimate these parameters?
I do not want to use an add-in program, like Solver, in Excel. I do, however, want to be able to use any existing functions, if necessary, in Excel. i'd appreciate it if someone can walk me through the steps.

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Solving System Of 3 Nonlinear Equations

Feb 12, 2013

I have a system of 3 equations with 3 unknowns that I would like to solve in Excel.

The equations are
24.792 = A*e^(B/(100-C))
9.857 = A*e^(B/(70-C))
4.590 = A*e^(B/(40-C))

Where e is the exponential function.

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Find Intercept For Nonlinear Data Sets

Nov 15, 2006

I have time (T) as a common variable located in cells A1:A9000. I also have two large data sets in columns B and C (cells B1:B9000 and C1:C9000). If I put them into an X,Y Scatter chart it is easy to see that at some point in time (perhaps around cell A3000) the slope in data set B will begin to rise and eventually the two curves will cross. I would like to find the intercept point and/or an estimate of that point (if it does not exist in the data set) and have the corresponding time reported in a set cell.

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2D / Bilinear Interpolation

Sep 2, 2008

I have a dataset of 360 columns and 180 rows in Excel 2007 and I want to increase the resolution of the dataset by 2 (i.e. I want to insert a value between each pair of cells, both vertically and horizontally). The calculation (interpolation) need not be complicated - I was thinking along the lines of a simple bilinear interpolation, where each new value is based on an average of the 4 cells surrounding it.

I'm fairly new to this type of operation in Excel, so I'd appreciate it if any responses I receive aren't too vague!

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Linear Interpolation

Feb 10, 2007

need an excel simple formula or function that returns values of y for given x in a two-dimensional array and works in the following way.actually a combination of linear interpolation and lookup/linear search. as in following example

x y
1 10
2 15
3 20

if x=1.5 then y=12.5 (answer available thru FORECAST but incomplete)
if x=2 then y=15 (answer available thru LOOKUP but incomplete)

so for whatever the x i need/get a valid y thru a single formula/method !
sorry m not good in math,

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Taking Number In Between For Interpolation

Jun 16, 2014

I need to take number in between cells. For example, I have numbers 1, 2, 3, 4, 5, 6, 7. When I type 5 in a column, I want to have 4 and 6, above and below 5. I am doing this to ease interpolation, so that whenever I want to do interpolation, I just need to type what number, I would like to have to be interpolated.

Attached file is the example : Matic Interpolation.xlsx‎

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Bi-linear Interpolation VBA Code

Feb 10, 2009

I have 3 equations and have created the relevant chart from them. What I would like to do is put in a value of x & y and get result z. Having done a search through previous threads I found some BiLinear Interpolation code that works using the table in a workbook, but what I'd really like is the Interpolation of the formulae rather than the resulting table and for it to be embedded in VBA.

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Interpolation On Multiple Criteria

Jun 30, 2007

Is there a excel spreadsheet function that can be used to interpolate between two columns of data? If not, can you recommend a quick equation to perform interpolation? I tried with "IF(AND" conditions, but we can't use it for more than 7 set of values

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Calculate Linear Interpolation

Oct 4, 2007

In the attached sheet, I have measured data from a device. It shows Input, Output, gain and delta. You can see as input increases, delta comes down. I want to find the output corresponding to delta od -1. In the table, I have enteries for delta of -0.982 then -1.382, not for -1. How to find output corresponding to delta of -1?

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Excel 2007 :: Exponential Interpolation

Dec 12, 2013

I have a frequency table (attached) that I need to be able to interpolate values between the known values on something other than a linear basis (e.g. exponential or logarithmic).

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Exponential Interpolation For Different Types Of Curves?

Apr 16, 2014

interpolating numbers in excel for an exponential function. I want to know how to be able to curve a curve in 4 different ways essentially the 2 that make up the two halves of a peak and the 2 that make up the two halves of a trough. I've tried using the LINEST function to create this interpolation and it's good to get 1 of the 4 curves I'm interested in. how to do the other 3? I'm also interested in knowing if these functions "whip the tail up" as in almost like how the tail end of a "sin" function flips back up. here it is.

[URL]

For this example of the exponential function, it creates the curve in one particular direction. I was wondering how I would do it to have it curve in another direction, for example I was testing the same function, but going downwards, and also having the tail curve back up (by hump I mean to simulate a gaussian distribution with the tails) how would I do that. seems like I now have part 1 of 4 aspects of the curve. here's the attached file to show what I mean. I want to get the hump going up and then sort of reflected along the y-axis and then similar features if I were to reflect the curves on the x axis. is it possible with the functions in excel? Linest test.xlsx

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Find Row Number Of Value From Table For Interpolation?

Feb 13, 2014

which function to use to find the row number of a value for interpolation.If I have a table of 5rows and 5 cols, how to find those rows of those 2 numbers between which my interpolation should be done.

X Y
2.2 3.45
2.9 4.56
3.3 6.2
3.7 7
4 8.1

Now I want to interpolate for 3.1. So how to find the row numbers of 2.9 and 3.3

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Write Double Interpolation Formula For Table?

Apr 16, 2014

Power.jpg I must write a double interpolation formula for the table.

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Interpolation Between Values And Return Them To Excel Sheet (using VBA)

Apr 18, 2014

I am looking for a VBA code which can be used to interpolate between values at a given interval and return these values to an excel sheet. I have a list with X and Y values and need to interpolate (linear) between two X points to return intermediate values for Y (interval between values is defined by the user in a userform). The code is to continue with interpolation between two consecutive X points until it has reached the end of the listing. In the example only several points are given, but the list can be longer or shorter than given in the example. The results need to be returned to a new sheet.

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Create Interpolation For Water Flow In Given Area

May 29, 2014

I am trying to create an interpolation for water flow in a given area. Tables below for better understanding:

Inputs Required

Area
3
km2

L
5
km

L2/A (Calculated)
8.3

[Code] ......

The idea is that when I increase the input area, I would like to interpolate between the RFFP frequency for the flow Q50/Q20 that best fits the area and provide me with a peak flow rate.

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Interpolation Given A Variable Table Location & Location Of Data Within

Oct 6, 2009

I am trying to develop a spreadsheet that will calculate a cost based on a matrix. I am attaching a sample of the calculation created so far. The end result is in cell M13 and is highlighted in yellow. I kind of layed the formula out in a few different cells, so hopefully it would be easy to follow.

simplify this process with maybe another formula that I might not be aware of, or maybe show me how to get this done in VB code. I think VB code would be the correct way to go just not sure.

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