Question

In: Statistics and Probability

Consider the following time series. Quarter Year 1 Year 2 Year 3 1 70 67 61...

Consider the following time series.

Quarter Year 1 Year 2 Year 3
1 70 67 61
2 48 40 50
3 58 60 53
4 79 82 73

(b)Use the following dummy variables to develop an estimated regression equation to account for seasonal effects in the data:

x1 = 1 if quarter 1, 0 otherwise; x2 = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise.

=

(c)Compute the quarterly forecasts for next year.

quarter 1 forecast___

quarter 2 forecast___

quarter 3 forecast___

quarter 4 forecast___

Solutions

Expert Solution

quarter 1 forecast = 78-12X1-32X2--21X3

=78-12*(1)-32(0)-21(0)

=66

quarter 2 forecast = 78-12*(0)-32(1)-21(0) = 46

quarter 3 forecast = 78-12*(0)-32(0)-21(1) = 57

quarter 4 forecast = 78-12*(0)-32(0)-21(0) = 78


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