Forecasting based on few samples I have to forecast number of enrollments for an international univeristy , challenge is there are only few years of data.So, my data looks somewhat like this:
2015 enrolled 70075 
2016 enrolled 73808
2016 enrolled 73808
2017 enrolled 78257
2018 enrolled 83560
2019 enrolled 86753
2020 enrolled 62500 
2021 enrolled 63000
2022 enrolled 78000

I have only very limited data and it has up trend, due to covid in 2020 and 2021 the trend has changed. I want to forecast based on these irrgularities which can be any (COVID, economic situation of applicant's country, war situation etc). How can i forecast for the year 2023 based on this few years of historical enrollment data?
Thanks

Your data can be plotted as follows:
Note: Always plot your data! Especially if you want to forecast.
In covid models, a V-shape recovery has been quite frequent.
The blue line is your data. The red line is a forecast assuming the recent trend (2022) and a slow return (50%?) to pre-covid trend in 2024. The rose line is an "exact" to pre-covid trend in 2024. And the green line is a forecast assuming a pre-covid trend from 2023.
Those trends are really basic, but I wouldn't suggest a bigger statistical or mathematical model because of the lack of a medium run patter.
