Use the following dummy variables to develop an estimated regression equation to account for any seasonal effects in the data: if Quarter $,$ otherwise; if Quarter $,$ otherwise; if Quarter $,$ otherwise. Round your answers to whole number.

$47$

$10\mathrm{.}5$

$7\mathrm{.}5$

$12$

Compute the quarterly forecasts for next year.

Quarter forecast

$59$

Quarter forecast

$56$

Quarter forecast

$60\mathrm{.}5$

Quarter forecast

$48\mathrm{.}5$

c$.$ Let to refer to the observation in quarter of year ; to refer to the observation in quarter of year ; $...$ and to refer to the observation in quarter of year $.$ Using the dummy variables defined in part $($b$)$ and Period, develop an estimated regression equation to account for seasonal effects and any linear trend in the time series. Based upon the seasonal effects in the data and linear trend, compute the quarterly forecasts for next year. Round your answers to whole number. Enter negative value as negative number.

The regression equation is:

$49$

$4$

$16$

$2$

The quarterly forecasts for next year are as follows:

Quarter forecast

$51$

Quarter forecast

$55$

Quarter forecast

$67$

Quarter forecast

$51$