Question: Following are two weekly forecasts made by two different methods for the number of gallons of gasoline, in thousands, demanded at a local gasoline station.
Following are two weekly forecasts made by two different methods for the number of gallons of gasoline, in thousands, demanded at a local gasoline station. Also shown are actual demand levels, in thousands of gallons:
Week Forecast Method 1 Actual Demand 1 0.95 0.72 2 1.08 1.05 3 0.97 0.96 4 1.20 1.00
Week Forecast Method 2 Actual Demand 1 0.77 0.72 2 1.21 1.05 3 0.88 0.96 4 1.15 1.00
The MAD for Method 1 =
The absolute deviation based on the forecast developed using Method 1 adds to
0.4100.410
thousand gallons (round your response to three decimal places).
Part 4
The MAD for Method 1 is
0.1030.103
thousand gallons (round your response to three decimal places).
Part 5
Mean squared error (MSE) is the average of
(ActualForecast)2.
For the information given in Method 1, the value of n =
4.
The value of
(ActualForecast)2
will be
0.0580.058
(thousand gallons)2
(round your response to three decimal places).
Part 6
The mean squared error (MSE) for Method 1 is
0.0140.014
(thousand gallons)2
(round your response to three decimal places).
Part 7
The absolute deviation based on the forecast developed using Method 2 adds to
0.5000.500
thousand gallons (round your response to three decimal places).
Part 8
The MAD for Method 2 is
0.1250.125
thousand gallons (round your response to three decimal places).
Part 9
The relationship for calculating
MSE = (Forecast Error)2n.
For the given information, in this relationship n =
4.
The value of
(ActualForecast)2for
Method 2 will be
0.0650.065
(thousand gallons)2
(round your answer to three decimal places).
Part 10
The mean squared error (MSE) for Method 2 is
enter your response here
(thousand gallons)2
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