In forecasting a monthly time series over a five-year period from January 2006 to December 2010, the exponential trend forecasting equation for January is shown below.
$\log (Y_i) = 1.9 + 0.01X_i + 0.10(\text{January})$
Take the antilog of the appropriate coefficient from this equation and complete (a) through (c).
a. Interpret the Y intercept, $\hat{\beta}_0$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Round to two decimal places as needed.)
A. The Y intercept, $\hat{\beta}_0 = \text{_____}$, is the fitted value for January 2006 after adjustment with the January multiplier.
B. The Y intercept, $\hat{\beta}_0 = \text{_____}$, is the fitted value for January 2006 prior to adjustment with the January multiplier.
C. The Y intercept has no interpretation in this context.