I have a dataset of two column values something like the one shown below. I need to predict the values of y for values of x greater than 60. The curve must follow the increasing trend it is shown till x=60.
I have tried polynomial regression and SVR but it declines for values greater than 60. I have tried to fit the curve y = alnx + b to this curve but the R2score is 0.94. What model can I train for this purpose, or how can I improve the R2score but regressing over an appropriate logarithmic function?
Can’t the training set provide data to how the curve seems to be rising (the change in value y for every corresponding change in value x)? And this change is carried forward to all future values of x to go with the trend and obtain the predicted results?
Thinking out loud with me intuition here. Is there is any model that resembles the above logic?
That can be informative, but as I was saying, you have to limit the function space to those compatible with your hypothesis.
I repeat my question in a clearer way: do you know (or have a guess of) what the function would look like after x=60?
Since you mentioned the rate of change, have you ever plotted the numerical derivative of this function? Maybe it’s shape has a recognizable shape that could help you in identifying the right class