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If the ARIMA model is: $Y= X_1+X_2+X_3+X_4$

I have data of 50 years.

What is the sample size here?

  1. 50 (50 years of observations)
  2. 250 (each variable/series has 50 years of observations, total 5 variables, 50*5=250)
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The sample size ($n$) is the number of observations you have of the response variable and the corresponding explanatory variables $(y_i, x_i)$. The correct sample size is thus $n=50$, since you have $50$ such pairs of response and explanatory variables.

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