What interpolation method is used to solve this problem?

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 = ?

[KSSV]

What is u? Why do you think you have to use interpolation? You need to explain us the problem.

[naresh bhimchand]

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]

What is u? How u is related to x and y?

[naresh bhimchand]

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]

@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]

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]

@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.

Answer 1

[Matt J]

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