What interpolation method is used to solve this problem?

2021 5 27
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更新时间：2021 5 27
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Hi all,
In the below problem i need to find the value of u but i dont know what method to be used for this problem.So, please refer me the mathematical method used to solve this problem. Thank you in advance.
x = [1, 2, 3, 4, 5, 6, 7];
y1 = [5, 8, 7 , 6 , 4];
y2 = [11, 8, 17 , u, 32];
y3 = [45, 58, 71 , 16 , 4];
y4 = [5, 82, 71 , 63 , 42];
u = ?

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KSSV
KSSV 2021-5-27
What is u? Why do you think you have to use interpolation? You need to explain us the problem.
naresh bhimchand
naresh bhimchand 2021-5-27
Normally we use forward interpolation , backward interpolation or inverse interpolation formula to find x and y data but here i have more rows and columns and in that i need to find u like i need to predict the value of u .So, i am not sure about what method to use in order to predict the value of u.
KSSV
KSSV 2021-5-27
What is u? How u is related to x and y?
naresh bhimchand
naresh bhimchand 2021-5-27
Hi,
This is the data,
In this data, i need to predict the value of u and i need the method to solve the problem.
Jan
Jan 2021-5-27
编辑：Jan 2021-5-27
@naresh bhimchand: This does not clarify the question in any way. The shown numbers could be random, or codes to open locks. You have to explain, if you assume a dependency of u to the other values of Y2, or if there is a connection to Y1 and Y3 also. Maybe all Y are building a smooth surface and we can assume, that a cubic interpolation is fair.
Currently we see a pile of numbers without a declared pattern or meaning. Then u=19 is a valid anser, but u=-sqrt(pi) also.
It is your turn to explain, why an interpolation is applicable. Based on the currently given information your problem cnnot be solved.
naresh bhimchand
naresh bhimchand 2021-5-27
编辑：naresh bhimchand 2021-5-27
Hi, There is no relation between Y1 and Y3 actually this is an example problem just been created to understand and i am searching for an approach or methods to solve this kind of problem.if you have any approach or solution please share me the link.
Jan
Jan 2021-5-27
编辑：Jan 2021-5-27
@naresh bhimchand: It is impossible to suggest a solution, because the problem has not been defined yet. The given information is compatible with u=19, u=rand^23 and u=-sqrt(pi), as said already.
The detail, that there is no relation between Y1 and Y3, does not allow to guess, what the relation between u and any other numbers given in the question is.

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Matt J
Matt J 2021-5-27
编辑：Matt J 2021-5-27
Ran in:

1 个投票

Ran in:
this is an example problem just been created to understand and i am searching for an approach or methods to solve this kind of problem
Here is one method:
y2 = [11, 8, 17 , nan, 32];
Y2=fillmissing(y2,'linear')
Y2 = 1×5
11.0000 8.0000 17.0000 24.5000 32.0000

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