I have daily visitors data for the last 10 years. I want to do some basic tests like which is the busiest day, which is the busiest month, busiest week etc. I used
auto.arima function with argument
xreg to find out the coefficients of all the days of the week, week of the month. This is the output I got:
> summary(arima1) Series: dailysea ARIMA(1,1,2) Coefficients: ar1 ma1 ma2 Sun Mon Tue Wed Thu -0.1250 -0.4506 -0.3712 -1466.6853 -3623.175 -3895.0555 -3722.146 -3327.4288 s.e. 0.1207 0.1117 0.0891 325.7253 386.738 379.8793 379.883 386.7512 Fri -2146.910 s.e. 325.736 sigma^2 estimated as 7776468: log likelihood=-6808.5 AIC=13637 AICc=13637.31 BIC=13682.92 Training set error measures: ME RMSE MAE MPE MAPE MASE ACF1 Training set 59.63838 2784.809 1952.625 -Inf Inf 0.8353728 -0.001839015
Can I use these coefficients to conclude that Saturday is the busiest followed by Sunday, Friday etc.? Also I have infinite MAPE which is not making sense to me.