1. The data below show the volume of transactions​ (in hundredsof​ thousands) in shares of a corporation over a period of 12weeks. Using these​ data, estimate a​ first-order autoregressive​model, and use the fitted model to obtain forecasts of volume forthe next 3 weeks.
Week  Trading Volume
1  27.8
2  14.6
3  14.4
4  13.8
5  23.4
6  17.8
7  7.2
8  25.3
9  21.8
10  17.2
11  26.5
12  21.5
The estimated​ first-order autoregressive model isx^t = (?) + (?)xt-1