olgranpappy said:do you know anything about the functional form? even roughly how it should look? if not then there is no way to extrapolate from a few points to every point.
jayki said:as i told , i know the relation between them at few samples. but i want to generalise as a mathematical relation between them
An input-output relationship is a mathematical model that describes the relationship between a set of input variables and a set of output variables. It shows how the input variables affect the output variables and can be used to predict the output values for different input values.
An input-output relationship can be derived through various methods such as regression analysis, correlation analysis, or mathematical modeling. These methods involve collecting data on the input and output variables and analyzing the relationship between them to find the best-fitting model.
Deriving input-output relationships has many practical applications in fields such as economics, engineering, and social sciences. It can be used for forecasting, optimization, decision-making, and understanding complex systems.
Input-output relationships are based on assumptions and simplifications, so they may not accurately represent real-world situations. They also rely on the quality and quantity of data collected, and any errors in the data can affect the accuracy of the relationship.
To improve input-output relationships, it is important to collect high-quality and relevant data, use appropriate statistical methods, and consider all factors that may affect the relationship. It is also recommended to continuously test and validate the relationship to ensure its accuracy.