Moving average question

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Eric's collar

Eric's collar

Roger wants to analyse how much customers are spending on stationary each month. He wants to use 12-point moving averages and take it over a 3 year period. How many moving averages will he have over 3 years.

So what's the answer?

The obvious answer would be 36 but that is definitely wrong. I'm think it's 25 but I'm not sure. Can anyone give a definitive answer?
 
n - (k-1) = 25 where n = 36 and k = 12

So 25 degrees of freedom?

I last did stats 4 years ago though.
 
To work the first moving average you do

(jan+feb+mar+april+may+june+july+aug+sep+oct+nov+dec)/4 then

(feb+mar+april+may+june+july+aug+sep+oct+nov+dec+(jan of next year))/4

and so on...
 
From an exam I did today actually and not homework. It's additional maths level stuff and I didn't know anything about the remaining degrees of freedom or the formula so I just counted them 1 by by 1. Seems like I got it right then?
 
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