Question

I have two questions

How does one determine whether to use linear or nonlinear interpolation? Please give examples.

Edit: In the case of CDF, say you have CDF numerically and you want to find the inverse CDF. One could use interpolation to determine inverse CDF but what would determine whether it'd be linear or nonlinear interpolation?

Answer 1

Linear interpolation is used when the relationship between variables is linear, while nonlinear interpolation is used when the relationship is not linear.

Step-by-step explanation:

When determining whether to use linear or nonlinear interpolation, it depends on the nature of the data and the relationship between the variables. Linear interpolation is used when the relationship between the variables is linear, meaning that there is a constant change or proportional relationship between them.

Nonlinear interpolation is used when the relationship between the variables is not linear, meaning that the change is not constant or proportional.

For example, if you have a set of data points that form a straight line, linear interpolation would be appropriate. On the other hand, if the data points follow a curve, nonlinear interpolation would be more suitable.