Question

The following table reports the sale of umbrellas for 12 quarters. Quarter Year 1 Year 2 Year 3 1 4 6 7 2 1 4 5 3 3 5 8 4 5 7

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Answer #1

The given data is arranged as

Y Time (t) Q1 Q2 Q3
4 1 1 0 0
1 2 0 1 0
3 3 0 0 1
5 4 0 0 0
6 5 1 0 0
4 6 0 1 0
5 7 0 0 1
7 8 0 0 0
7 9 1 0 0
5 10 0 1 0
8 11 0 0 1
9 12 0 0 0

and applied the linear regression.

Regression Analysis: Y versus Time (t), Q1, Q2, Q3 The regression equation is Y = 3.00 +0.500 Time (t) + 0.1667 Q1 - 2.6667 Q

For the second Quarterly sales forecast for year 5, the Time (t) =18,  Q1=0, Q2=1 and Q3=0. Therefore, the second quarterly sales forecast for year 5 is

Y = 3.00 + 0.500*18 + 0.1667*0 - 2.6667*1 - 1.1667*0 =9.3333.

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