The Box-Pierce Q-statistic is given by:
QBPβ=nβΟk2β
Where n is the sample size and Ο represents the autocorrelations.
Therefore,
QBPβ=200(0.32+(β0.15)2+(β0.10)2)=24.5
Calculation breakdown:
$0.3^2 = 0.09$
- (β0.15)2=0.0225
- (β0.10)2=0.01
- Sum = 0.09 + 0.0225 + 0.01 = 0.1225
- QBPβ=200Γ0.1225=24.5