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In: Math

Income at the architectural firm Spraggins and Yunes for the period February to July was as​...

Income at the architectural firm Spraggins and Yunes for the period February to July was as​ follows:

                                                                                                                               

Month

February

March

April

May

June

July

Income​ ($000's)

90.090.0

91.591.5

96.096.0

85.485.4

92.292.2

96.096.0

Assume that the initial forecast for February is

85.085.0

​(in $​ thousands) and the initial trend adjustment is 0. The smoothing constants selected are

alphaα

​=

0.10.1

and

betaβ

​=

0.20.2.

Using​ trend-adjusted exponential​ smoothing, the forecast for the architectural​ firm's August income is

nothing

thousand dollars ​(round your response to two decimal​ places).

The mean squared error​ (MSE) for the forecast developed using​ trend-adjusted exponential smoothing is

nothing

​(thousand

dollars right parenthesis squareddollars)2

​(round your response to two decimal​ places).

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