How do I filter my data points without using smoothdata?

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Hey guys,
I'm trying to smooth the signal from a bunch of data points in time, but I'm not allowed to use any commands from the signal processing toolbox (namely smoothdata and filter). I have 10 data points for both time and signal (t = [0 1 2 3 4 5 6 7 8 9]) (y = [4 7 5 8 6 9 6 9 3 5]), I need to end up with the exact same number of data points in the end as in the beginning, just smoothed out. How do i go about this???
Thank you very much and kind regards,
Thomas Nell

Accepted Answer

TADA on 12 Dec 2018
Edited: TADA on 12 Dec 2018
Some smoothing methods rely on fitting a moving curve to a small window of your data (Savitzky–Golay, LOESS, etc.)
The simplest method however relys on a moving average, you can do it iteratively, and for each value give a new value based on the average of a window around it

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