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?
Your problem begs for smoothing splines.
for a continuous univariate relationship -you literally cannot do better than smoothing splines.
no function will ever, EVER provide a better fit to your data than a smoothing spline. Some cool theory is behind this.